Select the incorrect statement about the spec | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The molar specific heat of a gas is defined as $C = \frac{dQ}{n dT}$.For an adiabatic process (no heat exchange),$dQ = 0$,so $C_A = 0$.For an isot

Vedclass · Accepted Answer

Specific heat at constant volume,$C_V=\frac{R}{\gamma}$

Vedclass · Answer

(D) The molar specific heat of a gas is defined as $C = \frac{dQ}{n dT}$.For an adiabatic process (no heat exchange),$dQ = 0$,so $C_A = 0$.For an isothermal process (constant temperature),$dT = 0$,so $C_T = \frac{dQ}{0} = \infty$.For an isobaric process (constant pressure),$C_P = \frac{\gamma R}{\gamma - 1}$.For an isochoric process (constant volume),$C_V = \frac{R}{\gamma - 1}$.Comparing these with the given options,the statement $C_V = \frac{R}{\gamma}$ is incorrect because the correct formula is $C_V = \frac{R}{\gamma - 1}$.Therefore,the correct option is $D$.

Select the incorrect statement about the specific heats of a gaseous system.

Similar Questions

The following sets of values for ${C_V}$ and ${C_P}$ of a gas have been reported by different students. The units are $cal/gm-mole-K$. Which of these sets is most reliable?

When some amount of heat energy is supplied to a monatomic gas,the percentage of heat energy used for increasing the internal energy of the gas $(\gamma = 5/3)$ is

$A$ gas has $n$ degrees of freedom. The ratio of specific heat of gas at constant volume $(C_v)$ to the specific heat of gas at constant pressure $(C_p)$ will be.

At constant volume,the specific heat of a gas is $\frac{3R}{2}$. Then the value of $\gamma$ will be ....

Let $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_2$ be the similar ratio of a diatomic gas. Considering the diatomic gas molecule as a rigid rotator,the ratio $\frac{\gamma_2}{\gamma_1}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module