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(C) From the $V-T$ graph:$1$. Process $AB$: Temperature is constant $(T_1)$,so it is an isothermal process. For an ideal gas,$\Delta U = 0$.$2$. Proce

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$A, C$

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(C) From the $V-T$ graph:$1$. Process $AB$: Temperature is constant $(T_1)$,so it is an isothermal process. For an ideal gas,$\Delta U = 0$.$2$. Process $AC$: Volume is constant $(V_1)$,so it is an isochoric process. Heat exchanged $q_{AC} = \Delta U_{AC} = nC_v(T_2 - T_1)$.$3$. Process $BC$: Pressure is constant $(P_2)$,so it is an isobaric process. Heat exchanged $q_{BC} = \Delta H_{BC} = nC_p(T_2 - T_1)$.Analyzing the options:- For process $AC$ (isochoric),$q_{AC} = \Delta U_{AC} = nC_v(T_2 - T_1)$.- For process $BC$ (isobaric),$\Delta U_{BC} = nC_v(T_1 - T_2) = -nC_v(T_2 - T_1)$. Thus,$q_{AC} = -\Delta U_{BC}$ is not generally true.- For process $CA$ (isochoric),$\Delta H_{CA} = nC_p(T_1 - T_2)$ and $\Delta U_{CA} = nC_v(T_1 - T_2)$. Since $C_p > C_v$ and $(T_1 - T_2) - For process $BC$ (isobaric),$W_{BC} = P_2(V_1 - V_2) = -P_2(V_2 - V_1)$.Given the standard interpretation of such problems,option $(C)$ is correct as $\Delta H_{CA} < \Delta U_{CA}$ holds true.

List-$I$	List-$II$
$i)$ Isothermal process	$a)$ $0$
$ii)$ Isobaric process	$b)$ $\frac{1}{\gamma-1}[P_2 V_2 - P_1 V_1]$
$iii)$ Isochoric process	$c)$ $\mu RT \ln(\frac{V_2}{V_1})$
$iv)$ Adiabatic process	$d)$ $P(V_2 - V_1)$

Similar Questions

An ideal monoatomic gas expands to twice its volume. If the process is isothermal,the magnitude of work done by the gas is $W_i$. If the process is adiabatic,the magnitude of work done by the gas is $W_a$. Which of the following is true?

Match the following:
List-$I$ List-$II$
$i)$ Isothermal process $a)$ $0$
$ii)$ Isobaric process $b)$ $\frac{1}{\gamma-1}[P_2 V_2 - P_1 V_1]$
$iii)$ Isochoric process $c)$ $\mu RT \ln(\frac{V_2}{V_1})$
$iv)$ Adiabatic process $d)$ $P(V_2 - V_1)$

The correct answer is:

Neon gas of a given mass expands isothermally to double its volume. What should be the further fractional decrease in pressure,so that the gas when adiabatically compressed from that state,reaches the original state?

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