Chapter 12.2, Problem 24PP

To determine

The work done by balloon in expanding.

Answer to Problem 24PP

  $75\text{J}$

Explanation of Solution

Introduction:

The relation between heat absorbed, work done and change in temperature is

  $\Delta U_T=Q-W$

Where, $\Delta U_T$ is the change in internal energy which depends on temperature.

  $Q$ is the heat absorbed.

  $W$ is the work done.

As the change in temperature of the balloon is zero, it means that there is not change in the internal energy.

  $\Delta U_T=0$

Hence, $Q=W$

It is given that the balloon absorbs $75\text{J}$ of heat, so the balloon did $75\text{J}$ of work to expand.

Conclusion:

The work done by balloon in expanding is $75\text{J}$ .