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Question: Answered & Verified by Expert
Which of the following statements is true? ( $\Delta \mathrm{U}=$ increase in internal energy, $\mathrm{dW}=$ work done by the system)
PhysicsThermodynamicsMHT CETMHT CET 2021 (22 Sep Shift 1)
Options:
  • A In an adiabatic process $\Delta \mathrm{U}=\mathrm{dW}$
  • B In an adiabatic process $\Delta \mathrm{U}=-\mathrm{dW}$
  • C In an isothermal process $\Delta \mathrm{U}=-\mathrm{dW}$
  • D In an isothermal process $\Delta \mathrm{U}=\mathrm{dW}$
Solution:
1645 Upvotes Verified Answer
The correct answer is: In an adiabatic process $\Delta \mathrm{U}=-\mathrm{dW}$
We have $\Delta \mathrm{Q}=\Delta \mathrm{U}+\Delta \mathrm{W}$
In a adiabatic process, $\Delta \mathrm{Q}=0$ $\therefore \Delta \mathrm{U}=-\Delta \mathrm{W}$

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