When an ideal monoatomic gas is heated at con | vedclass

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

Question

(B) For an ideal monoatomic gas,the molar heat capacity at constant pressure is $C_P = \frac{5}{2}R$ and at constant volume is $C_V = \frac{3}{2}R$.Th

Vedclass · Accepted Answer

$0.6$

Vedclass · Answer

(B) For an ideal monoatomic gas,the molar heat capacity at constant pressure is $C_P = \frac{5}{2}R$ and at constant volume is $C_V = \frac{3}{2}R$.The heat supplied at constant pressure is given by $\Delta Q = n C_P \Delta T$.The change in internal energy is given by $\Delta U = n C_V \Delta T$.The fraction of heat energy that increases the internal energy is $\frac{\Delta U}{\Delta Q} = \frac{n C_V \Delta T}{n C_P \Delta T} = \frac{C_V}{C_P}$.Substituting the values,we get $\frac{\Delta U}{\Delta Q} = \frac{3/2 R}{5/2 R} = \frac{3}{5} = 0.6$.

When an ideal monoatomic gas is heated at constant pressure,the fraction of heat energy supplied that increases the internal energy of the gas is:

Similar Questions

For a monoatomic gas,the work done at constant pressure is $W$. For the same rise in temperature of the gas,the heat supplied at constant volume is:

If the degree of freedom of a gas is $f,$ then the ratio of two specific heats ${C_P}/{C_V}$ is given by

Explain the specific heat capacity of water based on the kinetic theory of matter.

The relation $C_p - C_V = R$ ($C_p$ and $C_V$ are the molar specific heats at constant pressure and volume) is exactly true for

What is the correct relationship between molar specific heat at constant pressure $(C_P)$ and constant volume $(C_V)$? ($R$ is the universal gas constant)

Vedclass Test Series

Exam Paper Generator

Online Exam Module