(C) For an ideal gas,the internal energy $ \Delta U $ depends only on temperature. Since the process is isothermal $( \Delta T = 0 )$,$ \Delta U = 0 $

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$ \Delta U = 0, \Delta S_{total} \neq 0 $

(C) For an ideal gas,the internal energy $ \Delta U $ depends only on temperature. Since the process is isothermal $( \Delta T = 0 )$,$ \Delta U = 0 $. For any irreversible process,the total entropy change of the universe is always positive,i.e.,$ \Delta S_{total} > 0 $. Therefore,$ \Delta S_{total} \neq 0 $. Thus,the correct condition is $ \Delta U = 0 $ and $ \Delta S_{total} \neq 0 $.

Class 11 Chemistry Thermodynamics Mix Examples-Thermodynamics and Thermochemistry

Medium

For irreversible expansion of an ideal gas under isothermal condition,the correct option is :

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A
$ \Delta U = 0, \Delta S_{total} = 0 $
B
$ \Delta U \neq 0, \Delta S_{total} \neq 0 $
C
$ \Delta U = 0, \Delta S_{total} \neq 0 $
D
$ \Delta U \neq 0, \Delta S_{total} = 0 $

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$7 \ g$ of $N_{2(g)}$ at $27 \ ^oC$ is expanded reversibly and isothermally from an initial pressure of $0.5 \ MPa$ to a final pressure of $0.1 \ MPa$. Determine the approximate work done $[\ln \ 5 = 1.6]$ ..... $J$

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Enthalpy of formation of $HF$ and $HCl$ are $-161 \ kJ$ and $-92 \ kJ$ respectively. Which of the following statements is incorrect?

MediumAIIMS 2010

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Match the following:
List-$I$ List-$II$
$(A) \Delta U = W_{ad}$ $I.$ Isothermal reversible expansion
$(B) \Delta U = q - W$ $II.$ Wall is adiabatic
$(C) \Delta U = -q$ $III.$ Thermally conducting walls
$(D) \Delta U = 0$ $IV.$ Isolated system
$V.$ Closed system

The correct answer is

List-$I$	List-$II$
$(A) \Delta U = W_{ad}$	$I.$ Isothermal reversible expansion
$(B) \Delta U = q - W$	$II.$ Wall is adiabatic
$(C) \Delta U = -q$	$III.$ Thermally conducting walls
$(D) \Delta U = 0$	$IV.$ Isolated system
	$V.$ Closed system

EasyAP EAMCET 2019

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For a dimerization reaction,$2 A_{(g)} \rightarrow A_{2(g)}$ at $298 \ K$,$\Delta U^{\ominus} = -20 \ kJ \ mol^{-1}$,$\Delta S^{\ominus} = -30 \ J \ K^{-1} \ mol^{-1}$,then the $\Delta G^{\ominus}$ will be........ $J$

MediumJEE MAIN 2020

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For the reaction $2X_{(s)} + 2Y_{(s)} \to 2C_{(\ell)} + D_{(g)}$,the value of $q_p$ is $-28 \, \text{kcal mol}^{-1}$ at $2700 \, ^\circ\text{C}$. Calculate the value of $q_v$ in $\text{kcal mol}^{-1}$.

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For irreversible expansion of an ideal gas under isothermal condition,the correct option is :

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$7 \ g$ of $N_{2(g)}$ at $27 \ ^oC$ is expanded reversibly and isothermally from an initial pressure of $0.5 \ MPa$ to a final pressure of $0.1 \ MPa$. Determine the approximate work done $[\ln \ 5 = 1.6]$ ..... $J$

Enthalpy of formation of $HF$ and $HCl$ are $-161 \ kJ$ and $-92 \ kJ$ respectively. Which of the following statements is incorrect?

Match the following:List-$I$List-$II$$(A) \Delta U = W_{ad}$$I.$ Isothermal reversible expansion$(B) \Delta U = q - W$$II.$ Wall is adiabatic$(C) \Delta U = -q$$III.$ Thermally conducting walls$(D) \Delta U = 0$$IV.$ Isolated system$V.$ Closed systemThe correct answer is

For a dimerization reaction,$2 A_{(g)} \rightarrow A_{2(g)}$ at $298 \ K$,$\Delta U^{\ominus} = -20 \ kJ \ mol^{-1}$,$\Delta S^{\ominus} = -30 \ J \ K^{-1} \ mol^{-1}$,then the $\Delta G^{\ominus}$ will be........ $J$

For the reaction $2X_{(s)} + 2Y_{(s)} \to 2C_{(\ell)} + D_{(g)}$,the value of $q_p$ is $-28 \, \text{kcal mol}^{-1}$ at $2700 \, ^\circ\text{C}$. Calculate the value of $q_v$ in $\text{kcal mol}^{-1}$.

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Match the following:
List-$I$ List-$II$
$(A) \Delta U = W_{ad}$ $I.$ Isothermal reversible expansion
$(B) \Delta U = q - W$ $II.$ Wall is adiabatic
$(C) \Delta U = -q$ $III.$ Thermally conducting walls
$(D) \Delta U = 0$ $IV.$ Isolated system
$V.$ Closed system

The correct answer is