Chapter 5, Problem 83E

Interpretation Introduction

Interpretation:

The diatomic gas having a density of 3.164 g/L at STP should be identified.

Concept introduction:

STP: standard temperature and pressure, it is the condition of $273.2K$ and 1 atm.

The molar volume of gases at STP condition is similar and it is close to the molar volume of an ideal gas at STP condition. That is, 22.42 L. Hence, at STP the molar volume of a gas is considered as 22.42L.

Equation for density is,

$\text{Density}\text{=}\frac{\text{Mass}}{\text{Volume}}$

According to ideal gas equation for molecular mass,

$\text{Molecular}\text{mass}\text{=}\frac{\text{Mass}\text{*}R\text{*}\text{Temperature}}{\text{Volume}\text{*}\text{pressure}}$