First slide

Thermodynamic processes

Question

In an isothermal process the volume of an ideal gas is halved. One can say that

Moderate

A

Internal energy of the system decreases
B

Work done by the gas is positive
C

Work done by the gas is negative
D

Internal energy of the system increases

Solution

For isothermal process
$\begin{array}{l} dU = 0 and work done = dW = P (V_{2} - V_{1}) \\ ∵ V_{2} = \frac{V_{1}}{2} = \frac{V}{2} ∴ dW = - \frac{PV}{2} \end{array}$

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