Chapter 14, Problem 2STP

Interpretation Introduction

Interpretation: To determine the new pressure if the Kelvin temperature of a gas is tripled and the volume is doubled.

Concept Introduction: Ideal gas equation give the relation between temperature, pressure, and volume. The ideal gas equation can be shown as. $\text{PV}\text{=}\text{nRT}$ . Pressure and volume will be directly proportional to one another.

Answer to Problem 2STP

The new pressure will be $\frac{3}{2}$ of its original value.

Explanation of Solution

The given data:

P =?

V = 2V

T= 3T

According to the ideal gas law equation:

  $\text{PV=nRT}$

Put the given data in the above equation.

  $\begin{array}{c}\text{P×2V=nR3T}\\ \text{P=}\frac{\text{3}}{\text{2}}\text{×}\frac{\text{nRT}}{\text{V}}\end{array}$

Therefore, the new pressure will be 3/2 of the original pressure.