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JEE Main202310 Apr 2023Evening ShiftPhysicsThermodynamicsActual

A gas is compressed adiabatically, which one of the following statement is NOT true?

Options

  1. AThere is no heat supplied to the system
  2. BThere is no change in the internal energy
  3. CThe temperature of the gas increases
  4. DThe change in the internal energy is equal to the work done on the gas

Correct answer

B. There is no change in the internal energy

Step-by-step solution

In adiabatic process, ∆ Q = 0 and ∆ U ≠ 0 Using the first law of thermodynamics, ∆ Q = ∆ U + W ⇒ ∆ U = - W   W   is the work done by the gas ,   so   - W   will be the work done on the gas As the gas is compressed W   < 0 Therefore, ∆ U   > 0 and hence ∆ T   > 0 .

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