Chapter 14.3, Problem 20PP

To determine

The new volume of the helium.

Answer to Problem 20PP

The new volume of the helium is $12.51\text{L}$ .

Explanation of Solution

Given info:

Initial volume of the helium, $V_1=11\text{L}$

Initial pressure of the helium, $P_1=98\text{kPa}$

Final pressure of the helium, $P_2=86.2\text{kPa}$

Formula Used:

Write the expression to calculate the new volume of the helium using Boyle’s law.

  $V_2=\frac{P_1{V}_1}{P_2}$

Where,

• The new volume of helium is $V_2$ .

Calculation:

Substitute all the values in the above expression.

  $\begin{array}{c}{V}_2=\frac{\left(98\text{kPa}\right)\left(11\text{L}\right)}{86.2\text{kPa}}\\ =12.51\text{L}\end{array}$

Conclusion:

Thus, the new volume of the helium is $12.51\text{L}$ .