First slide

Heat given

Question

$ρ$ -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

Moderate

A

4R
B

2.5R
C

3R
D

$\frac{4 R}{3}$

Solution

$ρ$ -V diagram of the gas is a straight line passing through
origin. Hence, $p \propto V$ or $ρ$ V^-1 = constant
Molar heat capacity in the process $ρ$ V^X = constant is
$C = \frac{R}{γ - 1} + \frac{R}{1 - x}$
Here, $γ$ = 1.4 (For diatomic gas) and x = $-$ 1
$\Rightarrow C = \frac{R}{1.4 - 1} + \frac{R}{1 + 1} \Rightarrow C = 3 R$

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