Chapter 14.3, Problem 27R

To determine

The new volume of the helium balloon.

Answer to Problem 27R

The new volume of the helium balloon is $2.08\text{L}$ .

Explanation of Solution

Given info:

Initial volume of the helium, $V_1=2\text{L}$

Initial pressure of the helium balloon, $P_1=101\text{kPa}$

Final pressure of the helium balloon, $P_2=97\text{kPa}$

Formula Used:

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

  $V_2=\frac{P_1{V}_1}{P_2}$

Where,

• The new volume of the helium balloonis $V_2$ .

Calculation:

Substitute all the values in the above expression.

  $\begin{array}{c}{V}_2=\frac{\left(101\text{kPa}\right)\left(2\text{L}\right)}{97\text{kPa}}\\ =2.08\text{L}\end{array}$

Conclusion:

Thus, the new volume of the helium balloon is $2.08\text{L}$ .