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JEE Main 2023 (31 Jan, Shift 1) · P-V Diagrams & Cyclic Processes

P-V Diagrams & Cyclic Processes question from JEE Main 2023 (31 Jan, Shift 1)

Q43JEE Main 2023 · 31 JAN · SHIFT 1Medium

P-V Diagrams & Cyclic Processes

The pressure of a gas changes linearly with volume from AA to BB as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be

Figure

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Answer: (b)

  1. Gas is compressed from A (200 cc, 10 kPa) to B (50 cc, 50 kPa); work done on gas = area under line.
  2. Won=12(10+50)×103×150×10−6=4.5 JW_{on} = \frac{1}{2}(10 + 50) \times 10^3 \times 150 \times 10^{-6} = 4.5\ \text{J}
  3. Q=0⇒ΔU=Q−Wby=0−(−4.5)=4.5 JQ = 0 \Rightarrow \Delta U = Q - W_{by} = 0 - (-4.5) = 4.5\ \text{J}
  4. So the answer is (b) 4.5 J.
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