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## Q. 2.5

A cylinder contains compressed helium gas. It is used to inflate rubber balloon to a volume of 0.8m³. If the atmospheric pressure is 1 bar, find the work done upon the atmosphere by the balloon. Sketch the system before and after the process.

## Verified Solution

The cylinder – balloon system is shown in Fig. 2.21.

Net displacement work done,

\begin{aligned}W_{\text {net }} &=\int\limits_{\text {cylinder }} p \cdot d V+\int\limits_{\text {balloon }} p \cdot d V \\&=0+1 \times 10^2 \times 0.8=80 \ kJ\end{aligned}

No work is done on the cylinder as its volume is constant.