MCQ
Choose the correct statement for processes $A$  & $B$ shown in figure.
  • $\mathrm{PV}^\gamma=\mathrm{k}$ for process $\mathrm{B}$ and $\mathrm{PV}=\mathrm{k}$ for process $\mathrm{A}$.
  • B
    $\mathrm{PV}=\mathrm{k}$ for process $\mathrm{B}$ and $\mathrm{A}$.
  • C
    $\frac{P^{\gamma-1}}{T^\gamma}=k$ forprocess $B$ and $T=k$ for process $A$
  • D
    $\frac{T^\gamma}{P^{\gamma-1}}=k$ for process $A$ and $P V=k$ for process $B$.

Answer

Correct option: A.
$\mathrm{PV}^\gamma=\mathrm{k}$ for process $\mathrm{B}$ and $\mathrm{PV}=\mathrm{k}$ for process $\mathrm{A}$.
a
Steeper curve $(B)$ is adiabatic

Adiabatic $\Rightarrow \mathrm{PV}^{\prime}=$ const.

Or $\mathrm{P}\left(\frac{\mathrm{T}}{\mathrm{P}}\right)^{\mathrm{r}}=$ const.

$\frac{\mathrm{T}^v}{\mathrm{P}^{v-1}}=\text { const. }$

Curve $(A)$ is isothermal

$\mathrm{T}=$ const.

$\mathrm{PV}=$ const.

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