Chapter 15, Problem 66A

Interpretation Introduction

Interpretation: To determine the volume of one mole of any gas at STP.

Concept Introduction: A mole is the mass of a substance which includes $\text{6}{\text{.023 × 10}}^{\text{23}}$ of that substance's particles. The mole is the SI unit used to measure a substance's quantity. It has the symbol mol.

Answer to Problem 66A

The volume of one mole of any gas at STP will be 22.4 L.

Explanation of Solution

The volume of one mole of any gas can be determined by the formula,

  $\text{PV}\text{=}\text{nRT}$ .

Where,

  $\text{P}$ = pressure

  $\text{V}$ = volume

n = number of moles

R = gas constant

T = temperature

It is known that, at STP $\text{P}$ = 1 atm, T = 273.15K, n = 1.

Put these data in the above formula:

  $\begin{array}{c}\text{V=}\frac{\text{nRT}}{\text{P}}\\ \text{=}\frac{\text{1×}\text{0}\text{.082}\text{×}\text{273}\text{.15}}{\text{1}}\\ \text{=22}\text{.4L}\end{array}$

Therefore, the volume of one mole of any gas at STP will be 22.4 L.