Chemistry
Chemistry
4th Edition
ISBN: 9780393919370
Author: Thomas R. Gilbert
Publisher: NORTON
Question
Book Icon
Chapter 10, Problem 10.52QP

(a)

Interpretation Introduction

Interpretation: The change that has a greater effect on the solubility of oxygen in water, out of decreasing the temperature and raising the pressure, is to be identified.

Concept introduction: The Henry’s law states that “the amount of gas dissolved in given liquid is directly proportional to the partial pressure of that gas in equilibrium with that liquid.”

To determine: The effect of decreasing temperature from 20°C to 10°C on the solubility of oxygen in water.

(a)

Expert Solution
Check Mark

Answer to Problem 10.52QP

Solution

The change of solubility of oxygen in water from 20°C to 10°C is 0.01 .

Explanation of Solution

Explanation

The solubility of oxygen gas in water at 20°C is 0.03mol/L and at 10°C is 0.04mol/L as shown in Figure 1.

Chemistry, Chapter 10, Problem 10.52QP

Figure 1

Therefore, the change in solubility of oxygen from 20°C to 10°C is 0.01mol/L .

(b)

Interpretation Introduction

To determine: The effect of raising the pressure from 1.00atm to 1.25atm on the solubility of oxygen in water.

(b)

Expert Solution
Check Mark

Answer to Problem 10.52QP

Solution

The change in solubility of oxygen from 1atm to 1.25atm is 0.000617mol/L .

Explanation of Solution

Explanation

The Henry’s law constant for O2 gas is 1.3×103mol/Latm .

Pressure is 1atm .

The concentration of O2 in water is calculated by the formula,

C=KH×p (1)

Where,

  • KH is the Henry’s law constant.
  • p partial pressure of O2 .

Partial pressure of the O2 gas is calculated by the formula,

p=m×P

Where,

  • m is the mole fraction of oxygen.
  • P is the atmospheric pressure.

The mole fraction of oxygen is 0.209.

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

p=0.209×1atm=0.209atm

Partial pressure of O2 gas at 1atm is 0.209atm .

Substitute the value of partial pressure and Henry’s law constant in equation (1).

C=1.3×103mol/Latm×0.209atm=2.717×104mol/L

The solubility of O2 in water at 1atm is 2.717×104mol/L .

The pressure value is raised from 1atm to 1.25atm . The partial pressure of O2 will change in increasing temperature.

Partial pressure of the O2 gas is calculated by the formula,

p=m×P

Where,

  • m is the mole fraction of oxygen.
  • P is the atmospheric pressure.

The mole fraction of oxygen is 0.209.

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

p=0.209×1.25atm=0.2575atm

Partial pressure of O2 gas at 1.25atm is 0.2575atm .

Substitute the value of partial pressure and Henry’s law constant in equation (1).

C=1.3×103mol/Latm×0.2575atm=3.334×104mol/L

The solubility of O2 in water at 1.25atm is 3.334×104mol/L .

The change in solubility of oxygen from 1atm to 1.25atm is =(3.3342.717)×103mol/L=0.617×103mol/L=0.000617mol/L

Therefore, the change in solubility of oxygen from 1atm to 1.25atm is 0.000617mol/L .

Conclusion

The change in temperature has great effect on the solubility of oxygen in water than change in pressure.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 10 Solutions

Chemistry

Ch. 10 - Prob. 10.4VPCh. 10 - Prob. 10.5VPCh. 10 - Prob. 10.6VPCh. 10 - Prob. 10.8VPCh. 10 - Prob. 10.15QPCh. 10 - Prob. 10.16QPCh. 10 - Prob. 10.17QPCh. 10 - Prob. 10.18QPCh. 10 - Prob. 10.19QPCh. 10 - Prob. 10.20QPCh. 10 - Prob. 10.23QPCh. 10 - Prob. 10.24QPCh. 10 - Prob. 10.25QPCh. 10 - Prob. 10.26QPCh. 10 - Prob. 10.27QPCh. 10 - Prob. 10.28QPCh. 10 - Prob. 10.29QPCh. 10 - Prob. 10.30QPCh. 10 - Prob. 10.31QPCh. 10 - Prob. 10.32QPCh. 10 - Prob. 10.33QPCh. 10 - Prob. 10.34QPCh. 10 - Prob. 10.35QPCh. 10 - Prob. 10.36QPCh. 10 - Prob. 10.37QPCh. 10 - Prob. 10.38QPCh. 10 - Prob. 10.39QPCh. 10 - Prob. 10.40QPCh. 10 - Prob. 10.41QPCh. 10 - Prob. 10.42QPCh. 10 - Prob. 10.43QPCh. 10 - Prob. 10.44QPCh. 10 - Prob. 10.45QPCh. 10 - Prob. 10.46QPCh. 10 - Prob. 10.47QPCh. 10 - Prob. 10.48QPCh. 10 - Prob. 10.49QPCh. 10 - Prob. 10.50QPCh. 10 - Prob. 10.51QPCh. 10 - Prob. 10.52QPCh. 10 - Prob. 10.53QPCh. 10 - Prob. 10.54QPCh. 10 - Prob. 10.55QPCh. 10 - Prob. 10.56QPCh. 10 - Prob. 10.57QPCh. 10 - Prob. 10.58QPCh. 10 - Prob. 10.59QPCh. 10 - Prob. 10.60QPCh. 10 - Prob. 10.61QPCh. 10 - Prob. 10.62QPCh. 10 - Prob. 10.63QPCh. 10 - Prob. 10.64QPCh. 10 - Prob. 10.65QPCh. 10 - Prob. 10.66QPCh. 10 - Prob. 10.67QPCh. 10 - Prob. 10.68QPCh. 10 - Prob. 10.69QPCh. 10 - Prob. 10.70QPCh. 10 - Prob. 10.71QPCh. 10 - Prob. 10.72QPCh. 10 - Prob. 10.73QPCh. 10 - Prob. 10.74QPCh. 10 - Prob. 10.75QPCh. 10 - Prob. 10.76QPCh. 10 - Prob. 10.77QPCh. 10 - Prob. 10.78QPCh. 10 - Prob. 10.79QPCh. 10 - Prob. 10.80QPCh. 10 - Prob. 10.81QPCh. 10 - Prob. 10.82QPCh. 10 - Prob. 10.83QPCh. 10 - Prob. 10.84QPCh. 10 - Prob. 10.85QPCh. 10 - Prob. 10.86QPCh. 10 - Prob. 10.87QPCh. 10 - Prob. 10.88QPCh. 10 - Prob. 10.89QPCh. 10 - Prob. 10.90QPCh. 10 - Prob. 10.91QPCh. 10 - Prob. 10.92QPCh. 10 - Prob. 10.93QPCh. 10 - Prob. 10.94QPCh. 10 - Prob. 10.95QPCh. 10 - Prob. 10.96QPCh. 10 - Prob. 10.97QPCh. 10 - Prob. 10.98QPCh. 10 - Prob. 10.99APCh. 10 - Prob. 10.100APCh. 10 - Prob. 10.101APCh. 10 - Prob. 10.102APCh. 10 - Prob. 10.103APCh. 10 - Prob. 10.104APCh. 10 - Prob. 10.105APCh. 10 - Prob. 10.106APCh. 10 - Prob. 10.107APCh. 10 - Prob. 10.108APCh. 10 - Prob. 10.109APCh. 10 - Prob. 10.110APCh. 10 - Prob. 10.111APCh. 10 - Prob. 10.112APCh. 10 - Prob. 10.113APCh. 10 - Prob. 10.114APCh. 10 - Prob. 10.115APCh. 10 - Prob. 10.116APCh. 10 - Prob. 10.117APCh. 10 - Prob. 10.118APCh. 10 - Prob. 10.119APCh. 10 - Prob. 10.120APCh. 10 - Prob. 10.121AP
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Text book image
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Text book image
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY