MCQ
Reversible expansion of an ideal gas under isothermal and adiabatic conditions are as shown in the figure

$AB \to$ Isothermal expansion

$AC \to$ Adiabatic expansion

Which of the following options is not correct ?

  • A
    $\Delta S_{\text {isothermal }}>\Delta S_{\text {adiabatic }}$
  • B
    $\mathrm{T}_{\mathrm{A}}=\mathrm{T}_{\mathrm{B}}$
  • C
    $W_{ isothermal } >\mathrm{W}_{\text {adiabatic }}$
  • $\mathrm{T}_{\mathrm{C}}>\mathrm{T}_{\mathrm{A}}$

Answer

Correct option: D.
$\mathrm{T}_{\mathrm{C}}>\mathrm{T}_{\mathrm{A}}$
d
In adiabatic expansion cooling effect will take place, $T_C$ will be less then$\mathrm { T } _ { \mathrm { A } }$ in adiabatic expansion

$\mathrm{q}=0$ $\Delta \mathrm{U}=\mathrm{W}$

$W_{p v}<0$

$\Delta \mathrm{U}<0$

$\mathrm{nC}_{\mathrm{vm}} \Delta \mathrm{T}<0$

$\Delta \mathrm{T}<0$

$\mathrm{T}_{\mathrm{C}}-\mathrm{T}_{\mathrm{A}}<0$

$\mathrm{T}_{\mathrm{c}}<\mathrm{T}_{\mathrm{A}}$

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