Following statements are given:(1) The averag | vedclass

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

Question

(A) The average kinetic energy of an ideal gas molecule is given by the formula $KE_{	ext{avg}} = \frac{3}{2} k_B T$,where $k_B$ is the Boltzmann con

Vedclass · Accepted Answer

$(1)$ and $(4)$ only

Vedclass · Answer

(A) The average kinetic energy of an ideal gas molecule is given by the formula $KE_{	ext{avg}} = \frac{3}{2} k_B T$,where $k_B$ is the Boltzmann constant and $T$ is the absolute temperature.Statement $(1)$ is correct: Since $KE_{	ext{avg}} \propto T$,decreasing the temperature decreases the average kinetic energy.Statement $(2)$ is incorrect: At constant temperature,$KE_{	ext{avg}}$ remains constant regardless of pressure changes.Statement $(3)$ is incorrect: At constant temperature,$KE_{	ext{avg}}$ remains constant regardless of volume changes.Statement $(4)$ is correct: According to Gay-Lussac's Law,at constant volume,the pressure of a gas is directly proportional to its absolute temperature $(P \propto T)$.Statement $(5)$ is incorrect: According to Charles's Law,at constant pressure,volume is directly proportional to temperature $(V \propto T)$,so volume increases with temperature.Therefore,statements $(1)$ and $(4)$ are correct.

Similar Questions

Two closed containers of equal volume are filled with air at pressure $P_0$ and temperature $T_0$. Both are connected by a narrow tube. If one of the containers is maintained at temperature $T_0$ and the other at temperature $T$,then the new pressure in the containers will be:

$A$ certain amount of an ideal gas is contained in a closed vessel. The vessel is moving with a constant velocity $v$. The molecular mass of the gas is $M$. What is the rise in temperature of the gas when the vessel is suddenly stopped? (Given $\gamma = C_P/C_V$)

$A$ monoatomic gas of mass $4.0 \, g$ is kept in an insulated container. The container is moving with a velocity of $30 \, m/s$. If the container is suddenly stopped,then the change in temperature of the gas (where $R$ is the gas constant) is given by $\frac{x}{3R}$. The value of $x$ is ..........

Vedclass Test Series

Exam Paper Generator

Online Exam Module