Question

An ideal gas with adiabatic exponent = 1.5 undergoes a process in which work done by the gas is same as increase in internal energy of the gas.the molar heat capacity of the gas is

• A. C = 4R
• B. C = 0
• C. C = 2R
• D. C = R

Answer 1

The correct option is A C = 4R

$\text{Explanation:-}$

We know that,

$\int PdV=\int n{C}_{v}dT$

$\Rightarrow dQ=2dU$

$\Rightarrow nCdt=2n{C}_{v}dT$

$\Rightarrow C=2C_v$

$\Rightarrow C=\frac{2R}{1.5-1}$

$C=4R$

$\text{Hence the correct option is A}$