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JEE Main 2022 (29 Jul, Shift 2) · P-V Diagrams & Cyclic Processes

P-V Diagrams & Cyclic Processes question from JEE Main 2022 (29 Jul, Shift 2)

Q45JEE Main 2022 · 29 JUL · SHIFT 2Medium

P-V Diagrams & Cyclic Processes

A thermodynamic system is taken from an original state D to an intermediate state E by the linear process shown in the figure. Its volume is then reduced to the original volume from E to F by an isobaric process. The total work done by the gas from D to E to F will be

Figure

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Answer: (b)

  1. D→E→F→D is a closed loop traversed clockwise; net work = enclosed triangle area.
  2. Base =5−2=3 m3= 5 - 2 = 3\ \text{m}^3, height =600−300=300 N/m2= 600 - 300 = 300\ \text{N/m}^2.
  3. W=12×3×300=450 JW = \frac{1}{2} \times 3 \times 300 = 450\ \text{J} (F→D is isochoric, adds no work)
  4. So the answer is (b) 450 J.
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