   # A certain acid, HA, has a vapor density of 5.11 g/L when in the gas phase at a temperature of 25°C and a pressure of 1.00 atm. When 1.50 g of this acid is dissolved in enough water to make 100.0 mL of solution, the pH is found to be 1.80. Calculate K a for the acid. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 13, Problem 189IP
Textbook Problem
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## A certain acid, HA, has a vapor density of 5.11 g/L when in the gas phase at a temperature of 25°C and a pressure of 1.00 atm. When 1.50 g of this acid is dissolved in enough water to make 100.0 mL of solution, the pH is found to be 1.80. Calculate Ka for the acid.

Interpretation Introduction

Interpretation: The value of Ka for a certain acid solution is to be calculated.

Concept introduction The molar mass of a gas is calculated with the help of ideal gas equation as.

M=dRTP

To determine: The value of Ka for a certain acid solution.

### Explanation of Solution

Explanation

Given

The pH value is 1.80.

The value of molar mass of a gas is calculated with the help of ideal gas equation as.

M=dRTP

Where,

• R is universal gas constant having the value of 0.08206LatmK1.
• P is the pressure of the gas.
• T is the absolute temperature of the gas.
• d is the density of the gas.

Substitute the value of d,R,T and P in the above expression.

Molarmass=5.11g/L×0.08206LatmK1×298K1.00atm=125g/mol

The value of concentration is calculated by the formula.

Concentation(C)=NumberofmolesVolume

Where,

Number of moles=GivenmassMolarmass

Substitute the value of volume and number of moles in the concentration expression.

C=1.50g125g/mol0.100L=0.120M

The value of [H+] is calculated by the formula,

pH=log[H+][H+]=10-pH

Substitute the given value of pH in the above expression.

[H+]=101.80[H+]=1.6×102M

The concentration of [H+] at equilibrium is calculated by using an ICE (Initial Change Concentration) table.

HAH++AInitial(M):0

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