First slide

Thermodynamic processes

Question

A cylinder filled with a piston contains 0.2 moles of air at temperature 27⁰C. The piston is pushed so slowly that the air within the cylinder remains in thermal equilibrium with surroundings. Find the approximate work done by the system if the final volume is twice the initial volume.

Moderate

A

345J
B

453J
C

600J
D

543J

Solution

$\begin{array}{l} W = μ R T \log_{e} (\frac{V_{2}}{V_{1}}) \\ = 0.2 \times 8.3 \times 300 \times 0.693 \\ = 345 J \end{array}$

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