Chapter 13, Problem 10A

Interpretation Introduction

Interpretation:

The new pressure of helium gas have to be calculated.

Concept Introduction:

Boyle’s law: The pressure of a gas is inversely proportional to the volume of the gas at constant temperature.

The relationship between pressure and volume of a gas is expressed as-

  $\begin{array}{l}\mathrm{P}\propto \frac{1}{V}\\ \mathrm{or},PV=Constant\end{array}$ When T is constant.

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

  ${\mathrm{P}}_1{V}_1=P_2{V}_2$

Initial pressure = P₁ Final pressure = P₂

Initial volume = V₁ Final volume = V₂

Answer to Problem 10A

The new pressure of helium gas is 1518 mm Hg.

Explanation of Solution

Data given: P₁ = 785 mm Hg

V₁ = 29.2 mL

V₂ = 15.1 mL

  $\begin{array}{l}{P}_1{V}_1=P_2{V}_2\\ P_2=\frac{P_1{V}_1}{V_2}=\frac{785mmHg\times 29.2mL}{15.1mL}=1518mmHg\end{array}$