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Question: Answered & Verified by Expert
In a thermodynamic system, ' $W$ ' represents the work done by the system and ' $\Delta U$ ' is the increase in internal energy. Which of the following statements is TRUE?
PhysicsThermodynamicsMHT CETMHT CET 2022 (05 Aug Shift 2)
Options:
  • A In an adiabatic process, $\Delta U=-W$
  • B In an isothermal process, $\Delta U=W$
  • C In an adiabatic process, $\Delta \mathrm{U}=\mathrm{W}$
  • D In an isothermal process, $\Delta \mathrm{U}=-\mathrm{n} \mathrm{W}$
Solution:
1852 Upvotes Verified Answer
The correct answer is: In an adiabatic process, $\Delta U=-W$
Concept based.
According to the first law of thermodynamics,
$\Delta \mathrm{Q}=\Delta \mathrm{U}+\Delta \mathrm{W}$
In adiabatic process $\Delta \mathrm{Q}=0$
So, $\Delta \mathrm{U}=-\Delta \mathrm{W}$

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