Question

If I add 46372 J of energy to an ideal gas inside a balloon, causing the internal energy to increase by 5015 J, how much work is done on the environment by the gas as the balloon expands?

Answer 1

41357 J

Explanation:

Given:

Heat energy given to gas (dQ) = 46372 J

Increase in internal energy (dU) = 5015 J

From the first law of thermodynamics, we have the following:

`\begin{gathered} dQ=dU+dW \\ \\ dW=dQ-dU \\ \\ \text{ We replacing} \\ \\ dW=46372-5015 \\ \\ dW=41357\text{ J} \end{gathered}`

Therefore, work done on the environment by the gas is 41357 J