Question

The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in figure.
Which of the following statement (s) is (are) correct?

• A. $T_1=T_2$
• B. $T_3>T_1$
• C. $W_{isothermal}>W_{adiabatic}$
• D. $\Delta U_{isothermal}>\Delta U_{adiabatic}$

Answer 1

Answer: (A)

$T_1=T_2$

$\left(A\right)$ In Isothermal process temperature remains constant $T_1=T_2$

$\left(B\right)$ In Adiabatic expansion final temperature comes out to be less than initial temperature. $T_3<T_1$

$\left(C\right)$ Area under the cause of isothermal is more than that of adiabatic. $W_{isothermal}>W_{adiabatic}$

$\left(D\right)$ $\Delta U_{isothermal}=0$ ($T$ constant)

$\Delta U_{adiabatic}<0$ ($T_3<T_1$ i.e., $\Delta T<0$)

$\Delta U_{isothermal}>\Delta U_{adiabatic}$