MCQ
$P-V$ diagram of a diatomic gas is a straight line passing through origin. The molar heat capacity of the gas in the process will be
  • A
    $4 R$
  • B
    $2.5 R$
  • $3 R$
  • D
    $\frac{{4R}}{3}$

Answer

Correct option: C.
$3 R$
c
(c) $P-V$ diagram of the gas is a straight line passing through origin.

Hence $P \propto V$ or $P{V^{ - 1}} = $ constant
Molar heat capacity in the process $P{V^x} = {\rm{constant is }}$
$C = \frac{R}{{\gamma - 1}} + \frac{R}{{1 - x}}$; Here $\gamma = 1.4$ (For diatomic gas)
$\Rightarrow C = \frac{R}{{1.4 - 1}} + \frac{R}{{1 + 1}} \Rightarrow C = 3R$

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