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Concepts Of Physics MCQ Edition [Volume 2]PhysicsLaws of Thermodynamics

During a particular process, both the pressure p and the volume V of an ideal gas increase.

Options

  1. AThe temperature of the system must increase
  2. BThe heat supplied to the gas equals the change in its internal energy
  3. CThe work done by the system is positive
  4. DSuch a process is impossible

Correct answer

C. The work done by the system is positive

Step-by-step solution

For an ideal gas, the equation of state is pV = nRT . Since both pressure p and volume V increase, their product pV increases. Therefore, the temperature T of the gas must increase. The work done by the gas is given by W = p dV . Since the volume of the gas increases, dV > 0 , which implies that the work done by the system is positive. According to the first law of thermodynamics, Q = U + W . Since W > 0 , the heat supplied Q is greater than the change in internal energy U . Such a process is physically possible, f

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