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Question 31096
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Kinetic Theory and Thermodynamics: PV Diagrams Advanced MCQ

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PV Diagrams AdvancedHardQuestion 31096

Question

For an ideal gas, the slope of adiabat at a point (P,V) on P-V diagram is:
  1. A
    −P/V
  2. B
    −γP/V
    Correct
  3. C
    −P/(γV)
  4. D
    γPV

Correct answer

−γP/V

Explanation

PVγ = const. Differentiating: γPV^(γ−1)dV + V^γdP = 0 → dP/dV = −γP/V. Steeper than isothermal slope (−P/V) by factor γ.

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