Chapter 14, Problem 51R

To determine

The final volume of the balloon.

Answer to Problem 51R

The final volume of the balloon is $1.83\text{L}$ .

Explanation of Solution

Given info:

Initial temperature of balloon, $T_1=25°\text{C}=\left(25°\text{C}+273\right)\text{K}=298\text{K}$

Temperature of hot water, $T_2=90°\text{C}=\left(90°\text{C}+273\right)\text{K}=363\text{K}$

Initial volume of the balloon, $V_1=1.5\text{L}$

Formula Used:

Write the expression to calculate the final volume of the balloon using Charles’s law.

  $V_2=\frac{T_2{V}_1}{T_1}$

Calculation:

Substitute all the values in the above expression.

  $\begin{array}{c}{V}_2=\frac{\left(363\text{K}\right)\left(1.5\text{L}\right)}{298\text{K}}\\ =1.83\text{L}\end{array}$

Conclusion:

Thus, the final volume of the balloon is $1.83\text{L}$ .