Question

(4) 5. Variation of pressure (P) with volume (V) for an ideal monoatomic gas is shown in figure. The molar specific heat of the gas in the process will be IP V (1) 3R 2 5 (2) 2R e (3) 5R 2 (4) 3R Wand 6 N
​

Answer 1

The equation between P and V is :

$P = kV \: \: \: \: \: \: \: ...(k \: is \: a \: constant)$

$\implies P {V}^{ - 1} = k$

$\implies P {V}^{ - 1} = constant$

$\implies P {V}^{ N} = constant$

Now, molar heat capacity for a general process is given as :

$C = C_{V} + \dfrac{R}{1-N}$

$\implies C = \dfrac{3R}{2} + \dfrac{R}{1-( - 1)}$

$\implies C = \dfrac{3R}{2} + \dfrac{R}{2}$

$\implies C = \dfrac{4R}{2}$

$\implies C =2R$

So, option 2) is correct ✔️