Chapter 6, Problem 34P

(a)

Interpretation Introduction

Interpretation:

Molar mass of gas with density 1.98 g /L should be calculated

Concept Introduction:

Ideal gas equation is as follows:

  

Here, P is pressure

V is volume

R is gas constant, 0.082 atm L mol-1 K-1

n is number of moles and,

T is temperature of the gas.

Since, number of moles of gas and molar mass are related to each other as follows:

  

Thus,

  

Here, m is mass of the gas, and,

M is molar mass of the gas.

On rearranging the above equation,

  

Also,

  

Thus,

  

Here, d is density of the gas.

(b)

Interpretation Introduction

Interpretation:

Molar mass of 10.88 g of the gas having 3.33 L volume should be identified.

Concept Introduction:

Ideal gas equation is as follows:

  

Here, P is pressure

V is volume

R is gas constant

n is number of moles and,

T is temperature of the gas.

Since, number of moles of gas and molar mass are related to each other as follows:

  

Thus,

  

Here, m is mass of the gas, and,

M is molar mass of the gas.