Question

A gaseous system expands from volume v1 to v2 under isobaric conditions. Calculate the work done in the process.

Answer 1

Answer on Question #75330 Physics / Molecular Physics | Thermodynamics

A gaseous system expands from volume $V_{1}$ to $V_{2}$ under isobaric conditions. Calculate the work done in the process.

Solution:

By definition, the work done by a gas

$$W = \int_{V_{1}}^{V_{2}} p \, dV$$

If the process is isobaric ($p = \text{const}$), we get

$$W = p \int_{V_{1}}^{V_{2}} dV = p(V_{2} - V_{1})$$

Answer: $W = p(V_{2} - V_{1})$

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