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?

Respuesta :

ANSWER:

41357 J

STEP-BY-STEP 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:

[tex]\begin{gathered} dQ=dU+dW \\ \\ dW=dQ-dU \\ \\ \text{ We replacing} \\ \\ dW=46372-5015 \\ \\ dW=41357\text{ J} \end{gathered}[/tex]

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