Chemistry: The Science in Context (Fifth Edition)
Chemistry: The Science in Context (Fifth Edition)
5th Edition
ISBN: 9780393614046
Author: Thomas R. Gilbert, Rein V. Kirss, Natalie Foster, Stacey Lowery Bretz, Geoffrey Davies
Publisher: W. W. Norton & Company
Question
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Chapter 10, Problem 10.60QP
Interpretation Introduction

Interpretation: The solubility of air in water at 20°C and 1atm is given to be 7.9×104M . The Henry’s law constant of air is to be calculated and the sum of KH values of N2 and O2 is equal to Henry’s law constant of air is to be predicted.

Concept introduction:

To determine: The Henry’s law constant of air.

Expert Solution & Answer
Check Mark

Answer to Problem 10.60QP

Solution

The Henry’s law constant of air is 3.779×10-3mol/Latm_ and the sum Henry’s law constant of N2 and O2 is not equal to the Henry’s law constant of air.

Explanation of Solution

Explanation

Given

The solubility of gas in water is 7.9×104M .

Total pressure of gas is 1atm .

The Henry’s constant is calculated by the formula,

KH=Cp

Where,

  • C is the concentration of dissolved gas.
  • p is the partial pressure of the gas.

Partial pressure of the gas is calculated by the formula,

p=m×P

Where,

  • m is the mole fraction of oxygen in atmosphere.
  • P is the total pressure of gas.

The mole fraction of oxygen in atmosphere is 0.209.

Substitute the value of mole fraction and total pressure of gas in above formula.

p=0.209×1atm=0.209atm

Substitute the concentration of gas dissolved in water and partial pressure of the gas in above formula.

KH=7.9×104M0.209atm=3.779×10-3mol/Latm_

Therefore, the Henry’s law constant of air is 3.779×10-3mol/Latm_ .

The sum of the Henry’s law constant of N2 and O2 is given by the formula,

kH=KN2+KO2

Where,

  • KN2 is the Henry’s constant of N2 .
  • KO2 is the Henry’s constant of O2 .

The Henry’s constant of N2 is 0.67×103mol/Latm .

The Henry’s constant of O2 .is 1.3×103mol/Latm .

Substitute the values of Henry’s law constant of N2 and O2 in the above formula.

kH=(0.67×103+1.3×103)mol/Latm=1.97×103mol/Latm

Therefore, the sum Henry’s law constant of N2 and O2 is not equal to the Henry’s law constant of air.

Conclusion

The Henry’s law constant of air is 3.779×10-3mol/Latm_ and the sum Henry’s law constant of N2 and O2 is not equal to the Henry’s law constant of air.

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Chapter 10 Solutions

Chemistry: The Science in Context (Fifth Edition)

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