A gas has volume V and pressure P. The total | vedclass

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

Question

(D) The total translational kinetic energy $(K_{trans})$ of a gas is given by the formula $K_{trans} = \frac{3}{2}nRT$.From the ideal gas equation,we

Vedclass · Accepted Answer

$\frac{3}{2}PV$ in all cases

Vedclass · Answer

(D) The total translational kinetic energy $(K_{trans})$ of a gas is given by the formula $K_{trans} = \frac{3}{2}nRT$.From the ideal gas equation,we know that $PV = nRT$.Substituting $nRT$ with $PV$,we get $K_{trans} = \frac{3}{2}PV$.This expression depends only on the translational degrees of freedom,which is always $3$ for any gas molecule regardless of its atomicity (monoatomic,diatomic,or polyatomic).Therefore,the total translational kinetic energy is $\frac{3}{2}PV$ in all cases.

$A$ gas has volume $V$ and pressure $P$. The total translational kinetic energy of all the molecules of the gas is

Similar Questions

The temperature of a gas is $-68^\circ C$. At what temperature in $^\circ C$ will the average kinetic energy of its molecules be twice that of at $-68^\circ C$?

The ratio of the mean kinetic energy of hydrogen and oxygen at a given temperature is

Internal energy of an ideal gas depends on which factors and does not depend on which factors?

The pressure of an ideal gas is related to energy by the equation $E = \frac{3}{2} PV$. Here,$E$ stands for:

$A$ gas is filled in a container at pressure ${P_0}$. If the mass of all molecules is halved and their $rms$ speed is doubled,what will be the new pressure?

Vedclass Test Series

Exam Paper Generator

Online Exam Module