Given below are two statements: Statement-I: For isothermal irreversible change of an ideal gas,…

Given below are two statements: Statement-I: For isothermal irreversible change of an ideal gas, $q=-w=\mathrm{P}_{\text {ext }}\left(\mathrm{V}_{\text {final }}-\mathrm{V}_{\text {initial }}\right)$ Statement - II: For adiabatic change, $\Delta \mathrm{U}=\mathrm{W}_{\text {adiabatic }}$ The correct answer is
  1. Both Statement-I and statement-II are correct
  2. Both Statement-I and statement-II are not correct
  3. Statement-I is correct but statement-II is not correct
  4. Statement-I is not correct but statement-II is correct

Solution

For isothermal process, $\Delta \mathrm{U}=0$ $\therefore \mathrm{q}=-\mathrm{w}=\left(-\mathrm{P}_{\text {ext }} \Delta \mathrm{V}\right)=\mathrm{P}_{\text {ext }}\left(\mathrm{V}_{\text {final }}-\mathrm{V}_{\text {initial }}\right)$ for adiabatic process, $q=0$ $\therefore \Delta U=w_{\text {adibatic }}$

Asked in: AP EAMCET 2024 (19 May Shift 2)

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