Which of the following statements is true? ( $\Delta \mathrm{U}=$ increase in internal energy,…

Which of the following statements is true? ( $\Delta \mathrm{U}=$ increase in internal energy, $\mathrm{dW}=$ work done by the system)
  1. In an adiabatic process $\Delta \mathrm{U}=\mathrm{dW}$
  2. In an adiabatic process $\Delta \mathrm{U}=-\mathrm{dW}$
  3. In an isothermal process $\Delta \mathrm{U}=-\mathrm{dW}$
  4. In an isothermal process $\Delta \mathrm{U}=\mathrm{dW}$

Solution

We have $\Delta \mathrm{Q}=\Delta \mathrm{U}+\Delta \mathrm{W}$ In a adiabatic process, $\Delta \mathrm{Q}=0$ $\therefore \Delta \mathrm{U}=-\Delta \mathrm{W}$

Asked in: MHT CET 2021 (22 Sep Shift 1)

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