Chapter 14.3, Problem 21PP

To determine

The final atmospheric pressure on the weather balloon.

Answer to Problem 21PP

The final atmospheric pressure on the weather balloon is $51.94\text{kPa}$ .

Explanation of Solution

Given info:

Initial volume of the weather balloon, $V_1=90\text{L}$ .

Final volume of the weather balloon, $V_2=175\text{L}$ .

Formula Used:

Write the expression to calculate the final atmospheric pressure on the weather balloon using Boyle’s law.

  $P_2=\frac{P_1\cdot V_1}{V_2}$

Where,

• The final atmospheric pressure is $P_2$ .
• The initial atmospheric pressure on the balloon at sea levelis $P_1$ .

Calculation:

Let the initial atmospheric pressure on the balloon at sea level is $101\text{kPa}$ .

Substitute al the values in the above expression.

  $\begin{array}{c}{P}_2=\frac{\left(101\text{kPa}\right)\left(90\text{L}\right)}{175\text{L}}\\ =51.94\text{kPa}\end{array}$

Conclusion:

Thus, the final atmospheric pressure on the weather balloon is $51.94\text{kPa}$ .