MCQ
One mole of an ideal monatomic gas undergoes a process described by the equation $PV^3 =$ constant. The heat capacity of the gas during this process is 
  • A
    $2R$
  • $R$
  • C
    $\frac{3}{2}R$
  • D
    $\frac{5}{2}R$

Answer

Correct option: B.
$R$
b
Process described by the equation, 

$PV^3=constant$

For a Polytropic process, $PV^\alpha=constant$

 $C = {C_v} + \frac{R}{{1 - \alpha }} = \frac{3}{2}R + \frac{R}{{1 - 3}} = R$

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