Chapter 12.6, Problem 1.5E

To determine

To find: the volume of the balloon.

Answer to Problem 1.5E

The volume of the balloon is $22.5m^3$ .

Explanation of Solution

Given information:

The underinflated balloon contains $9m^3$ of helium with pressure $760mm$ and then balloon reach to the altitude where pressure is $304mm$ .

Formula:

The pressure volume of a gas is $p_1{v}_1=p_2{v}_2$ .

Calculation:

Consider the volume be $xc{m}^3$ where pressure is at $304mm$ .

Recall that the pressure volume of a gas is as mentioned below.

  $p_1{v}_1=p_2{v}_2$ where $p_1=760mm,v_1=9m^3,p_2=304mm,v_2=x{m}^3.$

Therefore $760*9=304*x\Rightarrow x=\frac{760*9}{304}=22.5m^3$ .

Therefore volume of balloon at a pressure $304mm$ is $22.5m^3$ .