Chapter SH, Problem 14.4APP

To determine

To calculate: New volume of a balloon.

Answer to Problem 14.4APP

New volume of the balloon is $\underset{\_}{2.8\text{ L}}$ .

Explanation of Solution

Given:

Initial volume = $7\text{ L}$

Initial pressure = $100\text{ kPa}$

Final pressure = $\text{250 kPa}$

Formula used:

Boyle’s law equation is given by,

  $P_{\text{i}}{V}_{\text{i}}=P_{\text{f}}{V}_{\text{f}}$

where $P_{\text{i}}$ is initial pressure, $V_{\text{i}}$ is initial volume, $P_{\text{f}}$ is final pressure and $V_{\text{f}}$ is final volume.

Calculation:

Final volume is calculated as:

  $\begin{array}{l}{P}_{\text{i}}{V}_{\text{i}}=P_{\text{f}}{V}_{\text{f}}\\ V_{\text{f}}=\frac{P_{\text{i}}{V}_{\text{i}}}{P_{\text{f}}}\\ V_{\text{f}}=\frac{\left(100\text{ kPa}\right)\left(7\text{ L}\right)}{\left(250\text{ kPa}\right)}\\ V_{\text{f}}=2.8\text{ L}\end{array}$

Conclusion:

New volume of the balloon is

  $\underset{\_}{2.8\text{ L}}$ .