   # Soft drinks are carbonated by adding CO 2 under pressure. Assume that CO 2 is added to a bottle of soft drink containing 710 g of diet soda. The pressure of CO 2 is 4.0 bar. (CO 2 obeys Henry’s law at pressures up to about 5 bar.) What amount of CO 2 ? is dissolved in 710 g of diet soda? (a) 0.14 mol (b) 0.097 mol (c) 0.034 mol (d) 0.13 mol ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 13.3, Problem 1RC
Textbook Problem
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## Soft drinks are carbonated by adding CO2 under pressure. Assume that CO2 is added to a bottle of soft drink containing 710 g of diet soda. The pressure of CO2 is 4.0 bar. (CO2 obeys Henry’s law at pressures up to about 5 bar.) What amount of CO2? is dissolved in 710 g of diet soda? (a) 0.14 mol (b) 0.097 mol (c) 0.034 mol (d) 0.13 mol

Interpretation Introduction

Interpretation: The amount of CO2 dissolved in 710g of diet soda is to be determined from the given option.

Concept introduction:

Molality (m): Molality is the number of moles of solute present in one kilogram of solvent.

Concentration (C, mol/kg) =  molality of solute = Amount of solute (mol)Mass of solvent (Kg)

Henry’s law: The solubility of a gas in liquid is directly proportional to the gas pressure.

Sg= kHPg,where,Sg=thegassolubility(inmol/kg)kH= Henry's constant Pg = the partial pressure of the gaseous solute.

### Explanation of Solution

Reason for correct option

Given,

PartialpressureofCO2=4barkHofCO2=0.034molkg1bar1Massofdietsoda=710g=0.710kg

According to Henry’s law, the solubility of a gas in liquid is,

Sg= kHPg

Therefore,

The solubility of CO2 is,

Sg= kHPg=(0.034molkg1bar1)×(4bar)=0.136mol/kg

The concentration of CO2 is 0.136mol/kg

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