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MHT CET202525 Apr 2025Morning ShiftPhysicsThermodynamicsActual

During the isothermal expansion, a confined ideal gas does (-150) J of work against its surroundings. This means that

Options

  1. A150 J of heat has been added to the gas
  2. B150 J of heat has been removed from the gas
  3. C300 J of heat has been added to the gas
  4. Dno heat is transferred because the process is isothermal

Correct answer

A. 150 J of heat has been added to the gas

Step-by-step solution

The First Law of Thermodynamics is expressed as U = Q - W , where U is the change in internal energy, Q is the heat added to the system, and W is the work done by the system. Given that the system performs work against its surroundings of magnitude 150 J , W = 150 J . Since the process is isothermal and involves an ideal gas, the internal energy remains constant, so U = 0 . Substituting into the first law: 0 = Q - 150 J , which yields Q = 150 J . Thus, the heat added is 150 J , and the correct choice is A .

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