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JEE Main20241 Feb 2024Morning ShiftPhysicsThermodynamicsActual

The pressure and volume of an ideal gas are related as P V 3 2 = K (Constant). The work done when the gas is taken from state A P 1 , V 1 , T 1 to state B P 2 , V 2 , T 2 is :

Options

  1. A2 ( P 1 V 1 - P 2 V 2 )
  2. B2 ( P 2 V 2 - P 1 V 1 )
  3. C2 P 1 V 1 − P 2 V 2
  4. D2 P 2 V 2 − P 1 V 1

Correct answer

A. 2 ( P 1 V 1 - P 2 V 2 )

Step-by-step solution

For P V x = constant, work done by the gas is given by, W = n R Δ T 1 − x = P 2 V 2 - P 1 V 1 1 − x . Here x = 3 2 , therefore we can write ∴ W = P 2 V 2 − P 1 V 1 − 1 2 = 2 P 1 V 1 − P 2 V 2

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