Statement-1: Internal energy of a gas U = nC_ | vedclass

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

Question

(B) Statement-$1$ is True. The internal energy $U$ of an ideal gas is defined as the sum of the kinetic energies of its molecules due to their random

Vedclass · Accepted Answer

Statement-$1$ is True,Statement-$2$ is True; Statement-$2$ is not a correct explanation for Statement-$1$.

Vedclass · Answer

(B) Statement-$1$ is True. The internal energy $U$ of an ideal gas is defined as the sum of the kinetic energies of its molecules due to their random translational,rotational,and vibrational motions. For an ideal gas,$U = nC_VT$.Statement-$2$ is True. When the container is suddenly stopped,the macroscopic kinetic energy of the gas (due to the motion of the container) is converted into the microscopic kinetic energy of the gas molecules through collisions. This increase in microscopic kinetic energy results in an increase in the temperature of the gas.However,Statement-$2$ describes a process of energy conversion (mechanical to thermal) and does not explain why internal energy is defined as $U = nC_VT$. Therefore,Statement-$2$ is not the correct explanation for Statement-$1$.

Statement-$1$: Internal energy of a gas $U = nC_VT$ is due to the random motion of gas molecules.
Statement-$2$: $A$ container is moving with speed $v$. It is suddenly stopped by a force,and the temperature of the gas increases.

Similar Questions

Select the correct statement.

The mass of a hydrogen atom is $3.32 \times 10^{-27} \, kg$. If $10^{23}$ atoms per second strike a wall of area $2 \, cm^2$ at an angle of $45^{\circ}$ with the normal to the wall and reflect elastically with a speed of $10^3 \, m/s$,the pressure exerted on the wall will be: $(N/m^2)$

The internal energy of $10 \, g$ of nitrogen at $S.T.P.$ is about ......... $J$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Statement-$1$: Internal energy of a gas $U = nC_VT$ is due to the random motion of gas molecules.Statement-$2$: $A$ container is moving with speed $v$. It is suddenly stopped by a force,and the temperature of the gas increases.