Chapter 13.1, Problem 4RQ

Interpretation Introduction

Interpretation:

The new volume of the gas have to be calculated.

Concept Introduction:

The equation of Boyle’s law at constant temperature and amount of gas is

  $P_1{V}_1=P_2{V}_2$

Here,

Initial pressure = P₁ Final pressure = P₂

Initial volume = V₁ Final volume = V₂

Answer to Problem 4RQ

The new volume of the gas is 2.0 L.

Explanation of Solution

Given Information: Initial pressure = 1.00 atm

Initial volume = 2.50 L

Final pressure = 1.25 atm

Calculation:

  $\begin{array}{c}{P}_1{V}_1=P_2{V}_2\end{array}$

   $\begin{array}{c}{V}_2=\frac{P_1{V}_1}{P_2}\end{array}$

     $\begin{array}{c}=\frac{1.00atm\times 2.50L}{1.25atm}\end{array}$

     $\begin{array}{c}=2.0L\end{array}$