MCQ
An enclosed one mole of a monoatomic gas is taken through a process $A$ to $B$ as shown in figure. The molar heat capacity of the gas for this process is
  • A
    $R$
  • $2R$
  • C
    $3R$
  • D
    $4R$

Answer

Correct option: B.
$2R$
b
$\mathrm{C}=\mathrm{C}_{\mathrm{v}}+\frac{\mathrm{R}}{1-\mathrm{n}}$

in the given process

$\mathrm{P} \alpha \mathrm{V}$

$\mathrm{PV}^{-1}=\mathrm{const}$

$n=-1$

$\Rightarrow \mathrm{C}=\frac{3}{2} \mathrm{R}+\frac{\mathrm{R}}{1-(-1)}=2 \mathrm{R}$

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