MCQ
Choose the correct statement for processes A & B shown in figure.

Image
  • A
    PV$\gamma$ = k for process B and PV = k for process A.
  • B
    PV = k for process B and A.
  • C
    $\frac{ P ^{\gamma-1}}{T^\gamma}= k$ for process B and $T = k$ for process A .
  • D
    $\frac{ T ^\gamma}{ P ^{\gamma-1}}= k$ for process A and $PV = k$ for process B .

Answer

(A & C)
Steeper curve (B) is adiabatic
Adiabatic $\Rightarrow P^v=$ const.
Or $P \left(\frac{ T }{ P }\right)^v=$ const.
$
\frac{T^v}{P^{v-1}}=\text { const. }
$
Curve (A) is isothermal
$T =$ const.
$
PV=\text { const. }
$

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