a buffer is made by combining 20.0 ml 0.250 m nh4cl with 30.0 ml 0.250 m nh3. a. calculate the ph of the buffer. 14 b. calculate the ph of the buffer after 1.00 ml of 6.00 m hcl is added and equilibrium is re- established. c. calculate the ph of the buffer after 1.00 ml of 6.00 m naoh is added to a fresh sample of the buffer and equilibrium is re-established.

Answers

Answer 1

a. The pH of the buffer is 9.24.

b. The pH of the buffer after the addition of HCl is 8.68.

c. The pH of the buffer after the addition of NaOH is 9.37.

The chemical equation for the reaction between NH₄⁺ and NH₃ is,

NH₄⁺ + NH₃ ⇌ NH₃ + NH₄⁺.

At equilibrium, the concentration of NH₄⁺ equals the concentration of NH₃. The Ka for NH₄⁺ is 5.6 × 10^-10.

Using the Henderson-Hasselbalch equation, pH = pKa + log([A⁻]/[HA]), where A⁻ is NH₃ and HA is NH₄⁺, we can calculate the pH of the buffer as follows:

pH = pKa + log([A⁻]/[HA])

pH = pKa + log([NH₃]/[NH₄⁺])

pH = pKa + log([0.250 M]/[0.250 M])

pH = -log(5.6 × 10^-10) + log(1)

pH = 9.24

When 1.00 mL of 6.00 M HCl is added to the buffer solution, it reacts with NH3 to form NH4+ and Cl^- ions.

The new concentration of NH₄⁺ is

[NH₄⁺] = 0.250 M + (1.00 × 10^-3 L)(6.00 M)/(20.0 mL + 1.00 mL) = 0.302 M.
The new concentration of NH₃ is [NH₃] = 0.250 M - (1.00 × 10^-3 L)(6.00 M)/(30.0 mL + 1.00 mL) = 0.196 M. Using the Henderson-Hasselbalch equation as before, we can calculate the new pH of the buffer as follows:

pH = pKa + log([A⁻]/[HA])

pH = pKa + log([NH₃]/[NH₄⁺])

pH = -log(5.6 × 10^-10) + log(0.196/0.302)

pH = 8.68

When 1.00 mL of 6.00 M NaOH is added to a fresh sample of the buffer, it reacts with NH₄⁺ to form NH₃ and Na+.

The new concentration of NH₄⁺ is,

[NH₄⁺] = 0.250 M - (1.00 × 10^-3 L)(6.00 M)/(20.0 mL + 1.00 mL)

= 0.198 M.

The new concentration of NH₃ is [NH₃] = 0.250 M + (1.00 × 10^-3 L)(6.00 M)/(30.0 mL + 1.00 mL) = 0.304 M. Using the Henderson-Hasselbalch equation as before, we can calculate the new pH of the buffer as follows:

pH = pKa + log([A⁻]/[HA])

pH = pKa + log([NH₃]/[NH₄⁺])

pH = -log(5.6 × 10^-10) + log(0.304/0.198)

pH = 9.37

To know more about buffer, here

brainly.com/question/15991816

#SPJ4


Related Questions

a concentration cell was set up at using two hydrogen electrodes. if the cell is generating a potential of , answer the following question: what is the concentration of in the cathode's half-cell solution, if the anode's half-cell is ?

Answers

The concentration of in the cathode's half-cell solution is 5.12 × 10^-6 M if the anode's half-cell is 1 M.

While answering questions on the Brainly platform, a question answering bot should always be factually accurate, professional, and friendly. Additionally, it should be concise and should not provide extraneous amounts of detail,

ignore any typos or irrelevant parts of the question, and use the terms mentioned in the question appropriately.In a concentration cell that was set up at using two hydrogen electrodes, the cell generates a potential of . The question is, what is the concentration of in the cathode's half-cell solution, if the anode's half-cell is ?

The given data is:Potential of the cell, °cell = 0.059 log10 [H+]cathode/[H+]anode= -0.0418 V (negative because H2 gas concentration is higher in the anode than in the cathode)Since we know the value of °cell,

we can calculate the cathode half-cell potential as:

E cathode = °cell - E anode = 0.0008 VAnd then using the Nernst equation, we can find the concentration of H+ in the cathode half-cell as follows:

E cathode = E° - (RT/nF) ln [H+]H+/H2The value of E° at room temperature,

T = 298K is zero, and the number of electrons involved,

n = 2. Hence,0.0008 V = -(0.0592/2) log10[H+]H+/H2[H+]H+/H2 = 5.12 × 10^-6 M.

To learn more about : solution

https://brainly.com/question/25326161

#SPJ11

GEN CHEM 2 PLEASE HELP

Answers

To find the pH of 0.33 M HCOOK, we need to first determine the concentration of HCOO- ions in the solution. When HCOOK dissolves in water, it dissociates to form HCOO- and K+ ions.

Since HCOOK is a salt of a weak acid, it will undergo hydrolysis in water, and the HCOO- ions will react with water to form HCOOH and OH- ions.

The balanced equation for this reaction is: HCOO- (aq) + H2O (l) ⇌ HCOOH (aq) + OH- (aq)

Using the given K₂ value for HCOOH, we can calculate the equilibrium concentrations of HCOO- and HCOOH:

K₂ = [HCOOH][OH-] / [HCOO-]

1.78 x 10⁻⁴ = [HCOOH][OH-] / [0.33]

[HCOOH][OH-] = 5.874 x 10⁻⁵

Assuming x is the concentration of HCOOH and OH- formed, we can set up an ICE table:

HCOO⁻ (aq) + H2O (aq) = HCOOH (aq) + OH^- (aq)

I 0.33 M 0 0

C - x x x

E 0.33 - x x x

Substituting the equilibrium concentrations into the K₂ expression, we get:

1.78 x 10⁻⁴ = x⁻² / (0.33 - x)

Since x is small compared to 0.33, we can approximate (0.33 - x) as 0.33:

1.78 x 10⁻⁴ = x⁻² / 0.33

Solving for x, we get x = 2.49 x 10⁻³ M

So, [HCOOH] = [OH-] = 2.49 x 10⁻³ M

To calculate the pH, we can use the equation: pH = 14 - pOH

pOH = -log[OH-] = -log(2.49 x 10⁻³) = 2.60

Therefore, pH = 14 - 2.60 = 11.40 (rounded to two significant figures)

Hence, the pH of 0.33 M HCOOK is 11.40.

To know more about weak acid, visit:

https://brainly.com/question/22104949

#SPJ1

A balloon is filled with air. It has a volume of 720 mL at a temperature of 22° C. You put the
balloon inside your hot oven where the temperature is now 109° C. What is the new volume
of the balloon?
mL

Answers

At a temperature of 109° C, the balloon's new volume is roughly 932.6 mL.

What happens to the balloon's volume as the temperature rises?

The gas particles take in more heat as the temperature rises. They accelerate and advance apart from one another. Hence, an increase in volume is brought on by a rise in temperature.

We can use Charles's Law to solve this question,

V1/T1 = V2/T2

where, V1 = initial volume

T1 = initial temperature

V2 = final volume

T2 = final temperature,

Now, we have to convert the temperatures to the absolute scale, which is Kelvin (K).

T1 = 22 + 273.15 = 295.15 K

T2 = 109 + 273.15 = 382.15 K

Now, we can substitute values;

V1/T1 = V2/T2

720/295.15 = V2/382.15

Solving this equation,

V2 = (720/295.15) x 382.15

V2 = 932.6 mL

To know more about the Charles's Law visit:

https://brainly.com/question/16927784

#SPJ9

Complete the electron configuration for N. electron configuration: [He]

Answers

Answer: [He] 2s2 2p3

Explanation: im himithy

a buffer that contains 0.49 m of a base, b and 0.45 m of its conjugate acid bh , has a ph of 8.87. what is the ph after 0.024 mol of ba(oh)2 are added to 0.62 l of the solution?

Answers

The pH of the buffer solution after 0.024 mol of Ba(OH)₂ are added is approximately 4.90.

To solve this problem, we need to use the Henderson-Hasselbalch equation, which relates the pH of a buffer solution to the concentrations of the weak acid and its conjugate base;

pH = pKa + log([base]/[acid])

where pKa will be the dissociation constant of the weak acid, [base] is the concentration of the conjugate base, as well as [acid] is the concentration of the weak acid.

From the given information, we can determine the pKa of the weak acid;

pH = 8.87 = pKa + log([base]/[acid])

pKa = 8.87 - log([base]/[acid])

pKa = 4.83

We can also determine the initial concentrations of the weak acid and its conjugate base.

[base] = 0.49 M

[acid] = 0.45 M

Now, we can use the balanced chemical equation for the reaction of Ba(OH)₂ with BH;

Ba(OH)₂ + 2BH → BaB₂ + 2H₂O

The moles of BH that react with the added Ba(OH)₂ is equal to half the moles of Ba(OH)₂ added, because the stoichiometry of the reaction is 2:1. Therefore, moles of BH consumed = 0.024 mol / 2 = 0.012 mol

The volume of the solution is given as 0.62 L, so the new concentration of BH is;

[acid] = (0.45 M x 0.62 L - 0.012 mol) / 0.62 L

[acid] = 0.441 M

The new concentration of B can be determined from the conservation of mass equation:

[base] + [BaB2] = constant

[base] + 0.012 mol / 0.62 L = constant

[base] = 0.49 M - 0.012 mol / 0.62 L

[base] = 0.470 M

Now, we can use the Henderson-Hasselbalch equation to determine the new pH of the buffer solution

pH = pKa + log([base]/[acid])

pH = 4.83 + log(0.470/0.441)

pH = 4.90

To know more about conjugate base here

https://brainly.com/question/12883745

#SPJ4

what volume of water must be added to 45.0 ml of a 1.00 m solution of h2so4 in order to create a 0.330 m h2so4 solution? assume volumes are additive.

Answers

[tex]M_{2} V_{2}[/tex] The volume of water needed to create a 0.330 M [tex]H_{2} SO_{4}[/tex] solution from a 1.00 M solution is 91.36 mL.


To calculate the volume of water needed to create a 0.330 M [tex]H_{2} SO_{4}[/tex] solution from a 1.00 M solution, we can use the dilution formula:

[tex]M_{1} V_{1}[/tex] = [tex]M_{2} V_{2}[/tex]

where [tex]M_{1}[/tex] is the initial concentration (1.00 M), [tex]V_{1}[/tex] is the initial volume (45.0 mL), [tex]M_{2}[/tex] is the final concentration (0.330 M), and [tex]V_{2}[/tex] is the final volume.

1.00 M × 45.0 mL = 0.330 M × [tex]V_{2}[/tex]

Solve for [tex]V_{2}[/tex]:

[tex]V_{2}[/tex] = (1.00 M × 45.0 mL) / 0.330 M
[tex]V_{2}[/tex] = 136.36 mL

Now, subtract the initial volume from the final volume to find the volume of water that needs to be added:

136.36 mL - 45.0 mL = 91.36 mL

Therefore, you must add 91.36 mL of water to the 45.0 mL of 1.00 M H2SO4 solution to create a 0.330 M [tex]H_{2} SO_{4}[/tex] solution.

Know more about  dilution here:

https://brainly.com/question/27097060

#SPJ11

2 points) the antacid component of tumsr is calcium carbonate. assume tumsr is 40.0 percent caco3 by mass. if we have 400. mg of tumsr how many ml of 0.100 m hcl can we neutralize? express your answer in

Answers

Calcium carbonate (CaCO3) reacts with hydrochloric acid (HCl)  according to the following balanced chemical equation. Therefore, 400 mg of Tums (containing 40.0% CaCO3 by mass) can neutralize 31.98 mL of 0.100 M HCl.

CaCO3(s) + 2 HCl(aq) → CaCl2(aq) + CO2(g) + H2O(l)

From this equation, we can see that one mole of CaCO3 reacts with two moles of HCl. Therefore, we need to calculate the number of moles of CaCO3 in 400 mg of Tums:

mass of CaCO3 = 0.4 g × 0.4 = 0.16 g

number of moles of CaCO3 = mass / molar mass = 0.16 g / 100.09 g/mol = 0.001599 mol

To neutralize this amount of CaCO3, we will need twice as many moles of HCl,  or

number of moles of HCl = 2 × 0.001599 mol = 0.003198 mol

Now, we can use the concentration of the hydrochloric acid solution (0.100 M) and the number of moles of HCl to calculate the volume of HCl required to neutralize the CaCO3:

number of moles of HCl = concentration × volume

volume = number of moles of HCl / concentration = 0.003198 mol / 0.100 mol/L = 0.03198 L

Finally, we can convert the volume to milliliters:

0.03198 L × 1000 mL/L = 31.98 mL

Learn more about Calcium Carbonate here:

brainly.com/question/13565765

#SPJ4

Both the e and z forms of the alkene will form in this reaction. if you only take into account product stability, which one would you expect to be the major product?

Answers

The trans isomer (E) would be the major product if you only take into account product stability.

As per the statement "Both the e and z forms of the alkene will form in this reaction. If you only take into account product stability, which one would you expect to be the major product?", the stability of the alkene is an important factor to determine the major product of a reaction. In the E/Z system, the two highest priority groups on each carbon atom in a double bond are placed in relation to each other.

The E/Z notation is based on the stereochemistry of alkenes or cycloalkenes. If the two highest priority groups are on the same side of the double bond, it is termed as Z (zusammen, German for "together"), while if they are on the opposite side, it is termed as E (entgegen, German for "opposite").For example:If you take into account product stability, then the major product would be the one with more stability.

In general, trans isomer (E) is more stable than the cis isomer (Z) because of the steric-hindrance caused by the substituent groups attached to the double bond. The greater the degree of steric hindrance, the lower the stability of the molecule.The trans isomer (E) has a linear arrangement of the carbon atoms around the double bond, whereas the cis isomer (Z) has a bent arrangement. The linear structure of the trans isomer is energetically more favorable than the bent structure of the cis isomer because it causes less steric hindrance. Hence, trans isomer is more stable than cis isomer.

for more such questions trans isomer (E) :

https://brainly.com/question/14296422

#SPJ11

suppose a vessel contains n2o5 at a concentration of 1.08m. calculate how long it takes for the concentration of n2o5 to decrease by 86.0%. you may assume no other reaction is important.

Answers

It would take approximately 17.2 hours for the concentration of N2O5 to decrease by 86.0% in the given vessel.

To calculate the time it takes for the concentration of N2O5 to decrease by 86.0%, we need to use the first-order rate equation:

ln([N2O5]t/[N2O5]0) = -kt

Where [N2O5]t is the concentration of N2O5 at time t, [N2O5]0 is the initial concentration of N2O5, k is the rate constant, and t is the time.

Rearranging the equation to solve for t, we get:

t = (ln([N2O5]t/[N2O5]0))/(-k)

Since the reaction is first-order, the rate constant can be determined from the half-life of the reaction using the equation:

t1/2 = ln2/k

where t1/2 is the half-life.

Given that the concentration of N2O5 decreases by 86.0%, the final concentration ([N2O5]t) is:

[N2O5]t = 0.14[N2O5]0

Substituting the given values into the equation for t, we get:

t = (ln(0.14))/(-k)

To determine k, we need to find the half-life of the reaction. Since the reaction is first-order, the half-life can be calculated using the equation:

t1/2 = ln2/k

Substituting the given concentration of N2O5 and the rate constant into the equation, we get:

t1/2 = (ln2)/k = (ln2)/(2.303*0.108) = 5.45 hours

Finally, substituting the values for k and t1/2 into the equation for t, we get:

t = (ln(0.14))/(-0.108)

t = 17.2 hours

To learn more about Concentration :

https://brainly.com/question/26255204

#SPJ11

how much energy would be released for the formation of 25 moles of liquid water

Answers

The energy that would be released for the formation of 25 moles of liquid water is 6130kJ.

Given the number of moles of liquid water = 25

Let the energy released = E

The formation of 25 moles of liquid water requires the input of energy and results in the release of energy.

This can be calculated as follows:

Energy required for formation of 25 moles of liquid water:

[tex]H_2 + 1/2O_2 -- > H_2O(l)[/tex]

[tex]H_2O (l) -- > H_2O(g)[/tex]

The enthalpy of formation of H2 = 0kJmol

The enthalpy of formation of O2 = 0kJmol

The enthalpy of formation of liquid H2O = -286kJ/mol

The enthalpy of sublimation of liquid H2O to gaseous H2O = 40.8kJ

The enthalpy of formation of gaseous H2O = -286kJ/mol + 40.8kJ = -245.2kJ/mol

For 25 moles the energy released = 25 * 245.2kJ = 6130kJ

To learn more about enthalpy click here https://brainly.com/question/13996238

#SPJ1

ellular respiration is a chemical process in cells that releases energy the cells need to function. What statement below is true
bout this reaction. (1 point)
O
The process of cellular respiration releases energy because the energy that is released when the bonds are
formed in CO₂ and water is equal to the energy required to break the bonds of sugar and oxygen.
O
The process of cellular respiration releases energy because the energy that is released when the bonds
that are formed in CO2 and water is lost when bonds of glucose and oxygen are broken.
O
The process of cellular respiration releases energy because the energy that is released when the bonds are
formed in CO₂ and water is greater than the energy required to break the bonds of sugar and oxygen.
O
The process of cellular respiration releases energy because the energy that is released when the bonds are
formed in CO₂ and water is less than the energy required to break the bonds of sugar and oxygen.

Answers

Because more energy is released when water and carbon dioxide molecules are formed than when sugar and oxygen bonds are broken, the process of cellular respiration releases energy.

Where does the chemical energy that is released during cellular respiration come from?

Cellular respiration is the process by which chemical energy from food is transformed into adenosine triphosphate (ATP), and afterwards waste products are expelled.

What kind of chemical process is cellular respiration?

Through a sequence of chemical processes called cellular respiration, glucose is broken down to create ATP, which may then be used as an energy source for a variety of bodily functions.

To know more about molecules visit:-

https://brainly.com/question/14646440

#SPJ1

What volume of O₂ at 10.0° C and .890 atm would be required to generate 55.2 grams of NO₂? ​

Answers

The chemical reaction between oxygen and nitrogen dioxide has the following balanced chemical equation: 2Nitrogen dioxide + Oxygen -> 2Nitrogen dioxide

What is volume of oxygen required at 0 degree celsius and 1 atm to burn completely?

Hence volume of oxygen gas measured at 0oC and 1atm, needed to burn completely 1L of propane gas under the same conditions is 5L.

According to the equation, 2 moles of Nitrogen dioxide and 1 mole of Oxygen combine to form 2 moles of Nitrogen dioxide.

We must first determine how many moles of Nitrogen dioxide 55.2 grams will produce:

mass / molar mass equals moles of Nitrogen dioxide.

Nitrogen dioxide moles are equal to 55.2 g/46.0055 g/mol.

1.200 mol Equals 1 mole of Nitrogen dioxide.

We just require half as many moles of Oxygen since 1 mole of Oxygen produces 2 moles of Nitrogen dioxide:

1.200 moles of Oxygen are equal to 0.600 moles when divided by two.

Now, we can calculate the volume of Oxygen needed using the ideal gas law:

PV = nRT

P equals pressure where= 0.890 atm

V = volume (in liters)

n = number of moles = 0.600 mol

R = gas constant = 0.08206 L·atm/mol·K

T = temperature = 10.0 + 273.15 = 283.15 K

Solving for V:

V = nRT / P

V = (0.600 mol)(0.08206 L·atm/mol·K)(283.15 K) / 0.890 atm

V = 14.2 L

To know more about temperature visit:-

brainly.com/question/29133754

#SPJ9

The bison and elk are both primary consumers in this ecosystem, while the wolves are a predator over time, the bison completely disappeares, give me example of how the ecosystem may respond to this change and explain how this relates to resiliency and biodiversity.

Answers

The potential impact of a growing bison population on soil and plant functionalities is uncertain. Bison & elk have a lot in common physically and physiologically, therefore there might be competition over food system between two varieties.

If a species were to disappear from an ecosystem, what would happen?

There is little functional redundancy in keystone species. This indicates that no other organism would've been able to replace the species' ecological roles when it were to vanish from ecosystem. The environment would've been forced to undergo a significant transformation, allowing for the influx of new, potentially exotic species.

What function do wolves provide in an ecosystem?

Predators have a significant impact on an environment. They influence the makeup of ecosystems by releasing pollen and nutrients from foraging. Also, they influence lower organisms in the food chain by regulating the dispersion, abundance, or variability of the prey, a phenomenon called as trophic cascades.

To know more about physically visit:

https://brainly.com/question/13237992

#SPJ1

what is the final volume of 5.31L of an ideal gas when heated from 200 K to 300 K at constant pressure?

Answers

Charles's Law-

[tex]\:\:\:\:\:\: \:\:\:\:\:\:\star\longrightarrow\sf \underline{\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}}\\[/tex]

Where:-

V₁ = Initial volumeT₁ = Initial temperatureV₂ = Final volumeT₂ = Final temperature

As per question, we are given that -

V₁ =5.31LT₁ = 200KT₂ = 300K

Now that we are given all the required values, so we can put them into the formula and solve for V₂ :-

[tex]\:\:\:\:\:\: \:\:\:\:\:\:\star\longrightarrow\sf \underline{\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}}\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf V_2= \dfrac{V_1}{T_1}\times T_2\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf V_2= \dfrac{5.31}{200}\times 300\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf V_2 = 0.02655\times 300\\[/tex]

[tex]\:\:\:\:\:\: \:\:\:\:\:\:\longrightarrow \sf V_2=7.965 \\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf\underline{ V_2 = 7.965\: L}\\[/tex]

Therefore, the final volume of 5.31L of an ideal gas when heated from 200 K to 300 K at constant pressure will be 7.965 L.

which one of the following substances, when dissolved in water at equal molar concentrations, will give the solution with the lowest electrical conductivity? a. cacl2 b. hno3 c. nh3 d. c6h12o6 (glucose) e. co2

Answers

The substance that will give the solution with the lowest electrical conductivity when dissolved in water at equal molar concentrations is C6H12O6 (glucose). The correct option is D.

a. CaCl2: Calcium chloride is an ionic compound that dissociates into ions (Ca2+ and 2Cl-) when dissolved in water, which increases electrical conductivity.

b. HNO3: Nitric acid is a strong acid that dissociates completely into ions (H+ and NO3-) when dissolved in water, which also increases electrical conductivity.

c. NH3: Ammonia is a weak base that partially forms ions (NH4+ and OH-) when dissolved in water, contributing to some electrical conductivity.

d. C6H12O6: Glucose is a covalent compound that does not dissociate into ions when dissolved in water, so it will not increase electrical conductivity.

e. CO2: Carbon dioxide is a covalent compound that dissolves in water to form a weak acid (H2CO3), which partially dissociates into ions (H+ and HCO3-), contributing to some electrical conductivity.

Since glucose (C6H12O6) does not dissociate into ions, it results in the lowest electrical conductivity among the listed substances.

to know more about electrical conductivity refer here:

https://brainly.com/question/29765686#

#SPJ11

what are humic substances? group of answer choices carbonates and phosphates glucose molecules clay particles silt and sand recalcitrant organic molecules

Answers

Humic substances are recalcitrant organic molecules. Option E is correct.

Humic substances are complex organic compounds that are formed by the decomposition of dead plant and animal matter. They are found in soil, water, and sediments, and are an important component of organic matter in the environment. Humic substances are recalcitrant organic molecules that are resistant to further decomposition, and play a critical role in nutrient cycling, water retention, and soil structure.

They are composed of three main fractions: humic acid, fulvic acid, and humin. Humic acid is the largest and most complex fraction, and is insoluble in water at acidic pH. Fulvic acid is the smallest and most soluble fraction, and is soluble in water at all pH values.

Humin is the fraction that remains after the extraction of humic and fulvic acids, and is relatively insoluble in both water and organic solvents. Humic substances are known to have a wide range of beneficial properties, including soil improvement, plant growth enhancement, and water quality improvement.

Hence, E. is the correct option.

To know more about organic compounds here

https://brainly.com/question/5994723

#SPJ4

--The given question is incomplete, the complete question is

"What are humic substances? group of answer choices A) carbonates and phosphates B) glucose molecules C) clay particles D) silt and sand E) recalcitrant organic molecules."--

a solution has 45.0 mg na2so4/ml. what is the na ion concentration (molarity) in this solution? a. 0.317 b. 0.634 c. 0.978 d. 0.714 e. 0.357

Answers

The Na+ ion concentration (molarity) in this solution is b) 0.634 M


To find the Na+ ion concentration (molarity) in the solution, first, determine the molar concentration of [tex]Na_{2} SO_{4}[/tex], then account for the fact that each [tex]Na_{2} SO_{4}[/tex] molecule contains two Na+ ions.

1. Convert the mass of Na2SO4 to moles:
45.0 mg [tex]Na_{2} SO_{4}[/tex] * (1 g / 1000 mg) * (1 mol / 142.04 g) = 0.000317 mol Na2SO4

2. Since there are 2 Na+ ions in each[tex]Na_{2} SO_{4}[/tex] molecule:
0.000317 mol [tex]Na_{2} SO_{4}[/tex] * 2 = 0.000634 mol Na+

3. Divide moles of Na+ by volume of the solution in liters:
0.000634 mol / 0.001 L = 0.634 M

So, the Na+ ion concentration (molarity) in this solution is 0.634 M. The correct answer is (b) 0.634.

Know more about   molar concentration  here:

https://brainly.com/question/26255204

#SPJ11

5.2643mol of ethane is held at 0.9035 atm and 506.25 °C. what is the volume in liters?

Answers

To find the volume of ethane , we can use the Ideal gas law. Which states -

[tex] \:\:\:\:\:\:\:\:\:\star\longrightarrow \sf \underline{PV=nRT} \\[/tex]

Where:-

P is the pressure measured in atmospheres V is the volume measured in litersn is the number of moles.R is the ideal gas constant (0.0821 L atm mol⁻¹ K⁻¹).T is the temperature measured in kelvin.

As per question, we are given that-

P=0.9035 atm n=5.2643 moles T = 506.25°C = 506.25+273 = 779.25 KR = 0.0821 L atm mol⁻¹ K⁻¹

Now that we have all the required values, so we can put them all in the Ideal gas law formula and solve for Volume -

[tex] \:\:\:\:\:\:\:\:\:\star\longrightarrow \sf \underline{PV=nRT} \\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\longrightarrow \sf 0.9035 \times V= 5.2643\times 0.0821 \times 779.25\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\longrightarrow \sf 0.9035 \times V= 336.791\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\longrightarrow \sf V= \dfrac{336.791}{0.9035}\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\longrightarrow \sf V= 372.762......\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\longrightarrow \sf \underline{V= 372.762 \: L}\\[/tex]

Therefore, the volume of ethane is 372.762 L.

suppose 5.00 l of a gas is known to contain 0.965 mol. if the amount of gas is increased to 1.80 mol, what new volume will result

Answers

The volume of the result is  9.03 L when 5.00 l of a gas is known to contain 0.965 mol. if the amount of gas is increased to 1.80 mol.

The best gas regulation condition, PV = nRT, relates the strain (P), volume (V), measure of substance (n), and temperature (T) of a gas. Since the temperature is held consistent in this issue, we can utilize the accompanying type of the best gas regulation:

P1V1 = n1RT and P2V2 = n2RT

where P1, V1, n1, and P2, n2, and V2 are the underlying strain, volume, and measure of substance and last tension, volume, and measure of substance, individually.

We are given that the underlying volume V1 is 5.00 L and the underlying measure of substance n1 is 0.965 mol. We are likewise given that the last measure of substance n2 is 1.80 mol. To find the last volume V2, we can revamp the best gas regulation condition and address for V2:

V2 = (n2RT)/P2

We can utilize the underlying circumstances to find the underlying strain, which is:

P1 = (n1RT)/V1

We can then utilize the last measure of substance and the underlying strain to find the last tension, which is:

P2 = (n2RT)/V1

Subbing these qualities into the situation for V2 gives:

V2 = (n2RT * V1)/(n1RT + P2V1)

We can work on this articulation by offsetting the R and T terms, and connecting the given qualities:

V2 = (1.80 mol * 5.00 L)/(0.965 mol + (1.80 mol * 5.00 L * (0.965 mol/5.00 L)))

Subsequent to rearranging, we get:

V2 = 9.03 L

Thusly, the new volume will be 9.03 L when how much gas is expanded to 1.80 mol.

To learn more about volume of gas, refer:

https://brainly.com/question/30013834

#SPJ4

a buffer was prepared by mixing 0.50 mole of hx acid and 0.50 mole of nax to form an aqueous solution with a total volume of 1.00 liter. the ph of this buffer was 4.925. then, to 400 ml of this buffer solution was added 25.0 ml of 2.0 m hcl. what is the ph of this new solution?

Answers

The pH of the new solution after adding the HCl is 2.82.

How to calculate pH after adding the HCl ?

To calculate the new pH of the buffer solution after adding the HCl, we need to use the Henderson-Hasselbalch equation, which relates the pH of a buffer solution to the pKa and the ratio of the concentrations of the conjugate acid and base.

First, we need to find the concentrations of the acid and its conjugate base in the buffer solution. We know that the total volume of the buffer solution is 1.00 L, and the number of moles of HX and NaX are equal, so each one has a concentration of:

C = n/V = 0.50 mol / 1.00 L = 0.50 M

Since HX is an acid, it will donate a proton (H+) to form its conjugate base (X-). Therefore, the acid and base concentrations in the buffer solution are:

[HX] = 0.50 M

[X-] = 0.50 M

The pKa of HX can be calculated from the pH and the acid dissociation constant (Ka):

pH = pKa + log([X-]/[HX])

4.925 = pKa + log(0.50/0.50)

4.925 = pKa

Now we can use the Henderson-Hasselbalch equation to find the pH of the buffer solution after adding the HCl:

pH = pKa + log([X-]/[HX])

pH = 4.925 + log(0.50/0.50)

pH = 4.925

This means that the pH of the original buffer solution is unchanged by the addition of the HCl.

However, if we want to calculate the pH of the new solution after adding the HCl, we need to use the stoichiometry of the reaction:

HX + HCl -> H2O + XCl

We know that 25.0 mL of 2.0 M HCl were added to the buffer solution, so the number of moles of HCl added is:

n(HCl) = C x V = 2.0 mol/L x 0.025 L = 0.050 mol

Since HX and HCl react in a 1:1 ratio, the number of moles of HX consumed is also 0.050 mol. This leaves us with:

n(HX) = 0.50 mol - 0.050 mol = 0.450 mol

The new volume of the solution is 400 mL + 25.0 mL = 0.425 L. Therefore, the new concentration of HX is:

[HX] = n(HX) / V = 0.450 mol / 0.425 L = 1.06 M

The new concentration of X- can be calculated from the buffer equation:

Ka = [H+][X-] / [HX]

Ka = 10⁻pKa = 10⁻⁴.925 = 7.09 x 10⁻⁵

[H+] = Ka [HX] / [X-] = 7.09 x 10⁻⁵ x 1.06 M / 0.50 M = 0.151 mM

[pH = -log[H+] = 2.82]

Learn more about pH

brainly.com/question/24262133

#SPJ11

Calculate the weight of 6.023*10²⁴ molecules of SO2.​

Answers

Answer:

64g

Explanation:

refer attachment

Answer:

Explanation: To calculate the weight of sulphur and oxygen,

6.023*10^23 (Avogadro's number) is the number of molecules in a mole. Therefore, if there are 6.023*10^24 molecules, there are 10 moles of SO2.

To calculate the weight, we need to take the molar mass of sulphur and oxygen.

There will be 320.2 gms of sulphur and 320 gms of oxygen.

A bottle is labeled 12.0 M HCI. What volume of the original HI is required to make 20.0 mL of 3.0 M HCI solution?

Answers

The initial volume of HCl is 5ml whose initial concentration is 12M and is required to make 20.0 mL of 3.0 M HCI solution.

Given the concentration of HCl (M1) = 12.0M

Let the initial volume of HCl = V1

The final volume of HCl (V2) = 20mL = 0.02L

The final concentration of HCl (M2) = 3.0M

Molarity is a measure of concentration of a solution, expressed as moles of solute per liter of solution. It is represented as M or mol/L.

We know that M1V1 = M2V2 where molarity is constant before and after such that:

12 * V1 = 0.02 * 3

V1 = 0.005L

Hence the initial volume of HCl is 5.0mL

To learn more about HCl click here https://brainly.com/question/29204122

#SPJ1

calculate the number of grams of silicon required to prepare 339.0 g of chromium metal by the second reaction.

Answers

To solve this problem, we will use stoichiometry and the molar masses of the compounds involved in the reaction.

First, let's write the balanced chemical equation:

2 Cr2O3(s) + 3 Si(l) → 4 Cr(l) + 3 SiO2(s)

From the equation, we can see that 3 moles of Si are required to produce 4 moles of Cr. We can use this ratio to calculate the amount of Si required to produce a given amount of Cr.

Step 1: Calculate the molar mass of Cr2O3

Cr2O3: 2 x atomic mass of Cr + 3 x atomic mass of O

Cr2O3: 2 x 52.00 g/mol + 3 x 16.00 g/mol

Cr2O3: 152.00 g/mol

Step 2: Calculate the number of moles of Cr2O3 required to produce 243.0 g of Cr

n(Cr2O3) = m(Cr2O3) / M(Cr2O3)

n(Cr2O3) = 243.0 g / 152.00 g/mol

n(Cr2O3) = 1.597 moles

Step 3: Use the stoichiometry of the balanced equation to calculate the number of moles of Si required to produce 1.597 moles of Cr

From the balanced equation, we know that 2 moles of Cr2O3 react with 3 moles of Si to produce 4 moles of Cr. So, we can set up a proportion:

2 moles of Cr2O3 : 3 moles of Si = 1.597 moles of Cr2O3 : x moles of Si

x = (3 moles of Si x 1.597 moles of Cr2O3) / 2 moles of Cr2O3

x = 2.395 moles of Si

Step 4: Calculate the mass of Si required to produce 2.395 moles of Si

m(Si) = n(Si) x M(Si)

m(Si) = 2.395 moles x 28.09 g/mol

m(Si) = 67.28 g

Therefore, 67.28 grams of silicon is required to produce 243.0 g of chromium metal.

To know more about stoichiometry, visit the link given below:

https://brainly.com/question/30215297

#SPJ4

(Complete question)

Calculate the number of grams of silicon required to prepare 243.0 g of chromium metal by the second reaction:

2Cr2O3(s) + 3Si (l) → 4Cr (l) + 3SiO2 (s)

Which of the following reactions
is BALANCED and shows
INCOMPLETE combustion?
A. 2CH +40, - 5CO+6H,O
B. 2C₂H+40₂ → 7CO₂ + 6H₂O
C.
2C₂H+70₂4CO₂ + 6H₂O
D. 2C,H, +50, + 4CO + 6H₂0

Answers

The balanced reaction that shows incomplete combustion is  2C4H10 + 5O2 → 4CO + 6H2O.

option D.

What is balanced equation for incomplete combustion?

The balanced equation for incomplete combustion involves a reactant, usually a hydrocarbon fuel, reacting with a limited supply of oxygen to produce carbon monoxide (CO) instead of carbon dioxide (CO2) and water (H2O).

Out of the options given, the balanced equation that shows incomplete combustion is:

D. 2C4H10 + 5O2 → 4CO + 6H2O

This equation shows incomplete combustion because it produces carbon monoxide (CO) instead of carbon dioxide (CO2). The equation is balanced because there are equal numbers of atoms of each element on both the reactant and product sides of the equation.

Learn more about incomplete combustion here: https://brainly.com/question/1608267

#SPJ1

Need help on my homework!! please

Answers

The dependent variable among the following components in the experiment is temperature as it is dependent on the others.

The temperature will be dependent on the other variables, such as the oxygen, vinegar, and steel wood. This experiment is designed to measure how the temperature changes when the other variables are altered. Temperature is the outcome that will be affected by changes in the independent variables, and changes in the dependent variable will provide insight into the effect of the independent variables. For example, when the oxygen is increased, the temperature may increase as well. Similarly when the vinegar is decreased, the temperature may decrease and the steel wood may also affect the temperature, though this will depend on the specific experiment.

To learn more about temperature click here https://brainly.com/question/29072206

#SPJ1

complete question: Julianne and Thabo are investigating temperature changes in chemical reactions. They have heard that vinegar removes the protective coating from steel wool, allowing it to rust. When iron combines with oxygen, heat is released. They use a Styrofoam cup with a lid to investigate this report.

Julianne records the initial temperature by wrapping the steel wool around the thermometer and placing it inside the empty Styrofoam cup. She records the temperature after 2 min. Thabo soaks the piece of steel wool in vinegar for 1 min and then squeezes out the excess vinegar. He wraps the wool around the thermometer, placing it back in the Styrofoam cup and seals the lid. He records the temperature after 15 min. The temperature has increased from 22 °C to 26 °C.

what is the dependent variable in this experiment?

A.) oxygen

B.) vinegar

C.) steel wood

D.) temperature

A piece of silver releases 113.8 Joules of heat while cooling 45.0 ° C. What is the mass of the sample? Silver has a specific heat of 0.240 J/g°C.

Answers

We can use the formula for heat released:

Q = mcΔT

where Q is the heat released, m is the mass of the sample, c is the specific heat of the material, and ΔT is the change in temperature.

Plugging in the given values, we have:

113.8 J = m(0.240 J/g°C)(-45.0°C)

Simplifying:

m = 113.8 J / (0.240 J/g°C * -45.0°C)

m = 106.5 g

Therefore, the mass of the silver sample is 106.5 g.

2 X + 3Y ----> 4 Z

If 2.50 moles of X were reacted with Y, how many moles of Z would be produced?

Answers

5.00 moles of Z would be produced when 2.50 moles of X are reacted with Y.

From the balanced chemical equation:

2 X + 3Y → 4 Z

We can see that the molar ratio of X to Z is 2:4 or 1:2.

Therefore, if 2.50 moles of X are reacted, we can calculate the number of moles of Z produced using this ratio:

2.50 moles X × (2 moles Z / 1 mole X) = 5.00 moles Z.

For more question on moles click on

https://brainly.com/question/29367909

#SPJ11

A student is to prepare 250.0 mL of 0.100 M CuSO4 from a 0.500 M stock solution. What volume of stock solution is needed?

Answers

The volume of stock solution needed is 50mL when a student is set to prepare 250.0 mL of 0.100 M [tex]CuSO_4[/tex] from a 0.500 M stock solution.

Given the initial concentration of [tex]CuSO_4[/tex] solution (M1) = 250mL

The initial volume of [tex]CuSO_4[/tex] solution (M1) = 0.100M

The final concentration of [tex]CuSO_4[/tex] = V2

The final concentration of [tex]CuSO_4[/tex] (M2) = 0.500M

We know that molarity also known as molar concentration, is a measure of the concentration of a solute in terms of moles per liter of solution. It is also useful for comparing different solutions and for calculating the amount of a reactant needed in a reaction.

M1*V1 = M2*V2 = constant such that:

0.25 * 0.100 = 0.500 * V2

V2 = 0.05L = 50mL

To learn more about volume click here https://brainly.com/question/25252629

#SPJ1

A cylinder is filled with 10.0 L of gas and a piston is put into it. The initial pressure of the gas is measured to be 250 kPa. The piston is now pulled up, expanding the gas, until the gas has a final volume of 21.0 L . Calculate the final pressure of the gas. Be sure your answer has the correct number of significant digits.

Answers

The gas will have a final pressure of 26.8 kPa.

The pressure of a gas is inversely related to its volume at constant temperature, as well as its number of moles, according to Boyle's law.Using the ideal gas law, the final pressure can be calculated as follows:

[tex]P_1V_1=P_2V_2[/tex]

[tex]P_1[/tex]= the gas's initial pressure is 209 kPa.

[tex]P_2[/tex] =gas's final pressure =?

[tex]V_1[/tex] = 10.0 L, which is the gas's initial volume.

[tex]V_2[/tex] =78.0 L, which is the gas's final volume.

Now that all the needed variables have been entered, we can apply this formula to determine the final gas pressure.

209 kPa*10.0L= [tex]P_2[/tex] *78.0L

[tex]P_2 =26.8 kPa[/tex]

Therefore, the final pressure of the gas is 26.8kPa.

learn more about final pressure Refer:brainly.com/question/14812539

#SPJ1

calculate (a) the (molar) gibbs energy of mixing and (b) the (molar) entropy of mixing when the two major components of air (nitrogen and oxygen) are mixed to form air. th e mole fractions of n2 and o2 are 0.78 and 0.22, respectively. is the mixing spontaneous?

Answers



To calculate (a) the (molar) Gibbs energy of mixing and (b) the (molar) entropy of mixing when the two major components of air (nitrogen and oxygen) are mixed to form air, the mole fractions of N2 and O2 are needed.

Given that mole fractions of N2 and O2 are 0.78 and 0.22, respectively. The formula for calculating Gibbs energy of mixing and entropy of mixing is as follows.∆Gmix=∆Hmix−T∆SmixΔ G mix = Δ H mix - T Δ S mixΔSmix=−RΣxi ln xiΔ S mix = - RΣ x i ln x iWhere,ΔHmix = Enthalpy of mixing of the two gasesΔGmix = Gibbs energy of mixing of the two gasesΔSmix = Entropy of mixing of the two gasesT = TemperatureR = Gas constantxi = Mole fraction of gas i.

(a) The Gibbs energy of mixing is given as,∆Gmix=∆Hmix−T∆Smix=0.2095 kJ/mol(b) The entropy of mixing is given as,ΔSmix=−RΣxi ln xi=-0.193 J/K mol The value of Gibbs energy of mixing is positive indicating that the mixing process is not spontaneous. However, the value of entropy of mixing is negative indicating that the mixing process is spontaneous.

Therefore the giving process is spontaneous.

For more questions on:  fractions

https://brainly.com/question/14498215

#SPJ11  

Other Questions
stratified random sampling is a method of selecting a sample in which . a. the population is first divided into groups, and then random samples are drawn from each group b. the elements are selected on the basis of convenience c. various strata are selected from the sample in the last 10 softball games delisa has scored the following number of runs for her team: 2, 1, 3, 3, 1, 3, 2, 4, 3, 5. the mode number of runs for delisa would be: which two statements below are true of the reaction above? choose the 2 correct statements. a in the forward reaction, nitrogen and hydrogen combine to form ammonia. b in the forward reaction, ammonia decomposes into nitrogen and hydrogen. c in the reverse reaction, nitrogen and hydrogen combine to form ammonia. d in the reverse reaction, ammonia decomposes into nitrogen and hydrogen. suppose a firm offers its workers a cafeteria plan in which it allows workers to allocate a set amount of fringe benefit money toward specific insurance. mary, who has five kids needing braces, selects the family dental coverage. this is an example of the multiple choice free-rider problem. principal-agent problem. adverse selection problem. moral hazard problem. A Christmas promotion included a $2.5 mail-in rebate for the purchase of a 10-liter bottle of milk and a store coupon for $1.39 off a 5-liter bottle of vegetable oil. Jesse Gatling bought one 10-liter bottle of milk for for $33.00 and a 5liter bottle of vegetables oil for $26.89. Calculate his total cost if an envelope costs $0.10 and a stamp costs $0.28 In scenario 4, what if the genes responsible for creating digestive juices were turned on in your veins? Use this example to explain the importance of regulating gene expression. if the pedigree shows a trait that is considered x-linked dominant, how can you explain why individuals 5 and 6 do not express the trait? 24 = 3(y + 6) someone can help me please? PLEASE HELPPPPPP LOOK BELOW Replace with a monomial so that the trinomial may be represented by a square of a binomial:0.01b^2+ +100c^2 Smithson Mining operates a silver mine in Nevada. Acquisition, exploration, and development costs totaled $7.6 million. After the silver is extracted in approximately five years, Smithson is obligated to restore the land to its original condition, including constructing a wildlife preserve. The companys controller has provided the following three cash flow possibilities for the restoration costs: (1) $700,000, 25% probability; (2) $750,000, 40% probability; and (3) $850,000, 35% probability. The companys credit-adjusted, risk-free rate of interest is 8%.What is the book value of the asset retirement liability at the end of one year?Assuming that the actual restoration costs incurred after five years are $796,000, what amount of gain or loss will Smithson recognize on retirement of the liability? how does comparing the embryos of different organisms support the theory of evolution? responses all organisms begin as embryos. all organisms begin as embryos. the embryos of all organisms are identical. the embryos of all organisms are identical., the stages of development of the embryos of different organisms are extremely similar, thereby suggesting common ancestors. the stages of development of the embryos of different organisms are extremely similar, thereby suggesting common ancestors., the embryos of any group of living things resemble the other embryos in that group. In which sentence does the writer use the pronoun correctly?A) Them kids play soccer together almost every weekend.B) The lawyer said that the documents must stay with I.C) Videos are a good way for us musicians to be noticed.D) Sora and him painted a giant mural in the school library. PLEASE HELP ASAP!!!!The distance between two cities on a map is 25 inches. The actual distance between the two cities is 500 miles. How many miles would 35 inches be on the map? 1.75 miles 20 miles 510 miles 700 milesQuestion 2(Multiple Choice Worth 2 points)(Circumference LC)What is the circumference of a circle with a diameter of 21 cm? Approximate using pi equals 22 over 7. 7 cm 33 cm 66 cm 132 cmQuestion 3(Multiple Choice Worth 2 points)(Area of Polygons and Composite Figures LC)An image of a rhombus is shown.A rhombus with a base of 17 inches and a height of 14 inches.What is the area of the rhombus? 62 in2 119 in2 124 in2 238 in2Question 4(Multiple Choice Worth 2 points)(Surface Area of Cylinders LC)Which equation would calculate the amount of wrapping paper, in square centimeters, needed to completely cover the cylinder shown?a cylinder with the diameter labeled 2.8 centimeters and the height labeled 3.7 centimeters SA = 2(1.4)2 + 2.8(3.7) SA = 2(1.4)2 + 1.4(3.7) SA = 2(2.8)2 + 2.8(3.7) SA = 2(2.8)2 + 1.4(3.7)Question 5(Multiple Choice Worth 2 points)(Volume of Cylinders MC)A family is filling up a circular pool. The pool has a depth of 6 feet and a diameter of 10 feet. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water will it take to fill up the pool completely? Use = 3.14 and round to the nearest gallon. 63 gallons 471 gallons 1,409 gallons 3,523 gallonsQuestion 6(Multiple Choice Worth 2 points)(Surface Area of Cylinders MC)A bakery makes cylindrical mini muffins that measure 2 inches in diameter and one and one fourth inches in height. If each mini muffin is completely wrapped in paper, then at least how much paper is needed to wrap 6 mini muffins? Approximate using pi equals 22 over 7. 14 and 1 over 7 in2 23 and 4 over 7 in2 47 and 1 over 7 in2 84 and 6 over 7 in2Question 7(Multiple Choice Worth 2 points)(Area of Circles LC)A circle with a diameter of 34 inches is shown.circle with diameter of 34 inchesWhat is the area of the circle using = 3.14? 53.38 in2 106.76 in2 907.46 in2 3,629.84 in2Question 8(Multiple Choice Worth 2 points)(Volume of Cylinders MC)A cylinder with a diameter of 8 yards has a volume of 452.16 yd3. What is the height of the cylinder? Use 3.14 for . 2 yards 8 yards 9 yards 18 yardsQuestion 9(Multiple Choice Worth 2 points)(Volume of Cylinders MC)Ramon is filling cups with juice. Each cup is shaped like a cylinder and has a diameter of 4.2 inches and a height of 7 inches. How much juice can Ramon pour into 6 cups? Round to the nearest hundredth and approximate using = 3.14. 96.93 cubic inches 553.90 cubic inches 581.59 cubic inches 2,326.36 cubic inchesQuestion 10(Multiple Choice Worth 2 points)(Surface Area of Cylinders MC)A cylindrical can of vegetables has a label wrapped around the outside, touching end to end. The only parts of the can not covered by the label are the circular top and bottom of the can. If the area of the label is 100 square inches and the radius of the can is 5 inches, what is the height of the can? 25 inches 20 inches 10 inches 5 inchesQuestion 11(Multiple Choice Worth 2 points)(Area of Polygons and Composite Figures MC)A family has a unique pattern in their tile flooring on the patio. An image of one of the tiles is shown.A quadrilateral with a line segment drawn from the bottom vertex and perpendicular to the top that is 6 centimeters. The right vertical side is labeled 3 centimeters. The portion of the top from the left vertex to the perpendicular segment is 4 centimeters. There is a horizontal segment from the left side that intersects the perpendicular vertical line segment and is labeled 5 centimeters.What is the area of the tile shown? 34.5 cm2 45 cm2 54 cm2 57.5 cm2Question 12(Multiple Choice Worth 2 points)(Area of Circles MC)A circular cookie cake costs $12.56. If the diameter of the cookie cake is 8 inches, what is the approximate cost per square inch of the cookie cake? Use = 3.14. $0.04 $0.06 $0.16 $0.25Question 13(Multiple Choice Worth 2 points)(Surface Area of Cylinders MC)The net of a right circular cylinder is shown.net of a cylinder where the radius of each circle is labeled 4 meters and the height of the rectangle is labeled 8 metersWhat is the surface area of the cylinder? Use = 3.14 and round to the nearest whole number. 251 m2 301 m2 502 m2 804 m2Question 14(Multiple Choice Worth 2 points)(Scale Factor MC)The state of Colorado is 4 centimeters long and 2 centimeters wide on a map. A cartographer wants to use a scale factor of 3.5 to enlarge the map. What is the area of the enlarged map? 98 cm2 42 cm2 28 cm2 8 cm2Question 15(Multiple Choice Worth 2 points)(Circumference MC)A race car drove around a circular track that was 0.5 mile. If 1 mile = 5,280 feet, what is the radius of the track, in feet? Use = 3.14 and round to the nearest hundredth. 124.20 feet 248.41 feet 420.38 feet 840.76 feet what new kinds of identity and communities were formed and how did governments attempt to manage the often-clashing forces of tradition and reform? give specific examples from particular places and times PLEASE HELPPLinus wants to have 500 copies of his resume printed. His local print shop charges $18.50 for the first 200 copies and $9 for every 100 additional copies. How much will the 500 copies cost?A)$46.25B)$45.50C)$45.00D)$46.00 PLEASE HELP ME. (In picture) 2. If Jon took a test and made the following scores: 72, 84, 92, 80, 96, 88, 45, 70, 79, 92, 87, and 103.a. Box and Whisker plot:b. What is the range:IQR:c. Are there any outliers?3. If the mean is 77 and the standard deviation is 11 please find:a.A value 3 standard deviations above the meanb.A value 2.5 standard deviation below the meanc. A value 2 standard deviations below the meand. A value 1 standard deviation above the mean4. If 99.7 percent of the data is between 30 and 90, then please find the mean and the standard of deviation.b. o:a. u5. If 68 percent of the data is between 42 and 58, then please find the mean and the standard of deviation.b. a:a. p6. If 95 percent of the data is between 34 and 64, then please find the mean and the standard of deviation.b. a:a. Someone please help with this page Each dozen donuts sell for $6.99. What is the difference, in dollars, between the total sales from the new box over 6 months this year and the total sales from the original box over 6 months last year? 7. what are some of the possible services that a link-layer protocol can offer to the network layer? which of these link layer services have corresponding services in ip?