An ideal gas is taken around ABCA as shown in the $\mathrm{P}-\mathrm{V}$ diagram. The work done during a…

An ideal gas is taken around ABCA as shown in the $\mathrm{P}-\mathrm{V}$ diagram. The work done during a cycle is

  1. 2PV
  2. PV
  3. $\frac{1}{2}PV$
  4. Zero

Solution

The work done during the cycle ABCA is $\mathrm{W}=$ Area of triangle $A B C$ on $P-V$ plane $=\frac{1}{2} \times(3 \mathrm{~V}-\mathrm{V}) \times(3 \mathrm{P}-\mathrm{P})=2 \mathrm{pV}$

Asked in: AP EAMCET 2024 (22 May Shift 1)

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