The absolute temperature of a gas is determin | vedclass

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

Question

(D) The absolute temperature $T$ of an ideal gas is directly related to the kinetic energy of its molecules.According to the kinetic theory of gases,t

Vedclass · Accepted Answer

The mean square velocity of the molecules

Vedclass · Answer

(D) The absolute temperature $T$ of an ideal gas is directly related to the kinetic energy of its molecules.According to the kinetic theory of gases,the root mean square velocity $(v_{RMS})$ is given by $v_{RMS} = \sqrt{\frac{3RT}{M}}$,which implies $v_{RMS}^2 = \frac{3RT}{M}$.Thus,the mean square velocity $(v_{RMS}^2)$ is directly proportional to the absolute temperature $T$.Similarly,the velocity of sound in an ideal gas is given by $v_{sound} = \sqrt{\frac{\gamma RT}{M}}$,which also depends on the absolute temperature $T$.However,in the context of the kinetic theory of gases,the mean square velocity is the fundamental property derived directly from the temperature definition.Therefore,the mean square velocity is the standard measure used to determine the absolute temperature.

The absolute temperature of a gas is determined by

Similar Questions

$A$ current $I$ flows in an infinitely long wire with a cross-section in the form of a semicircular ring of radius $R$. The magnitude of the magnetic induction along its axis is

The $P-V$ diagram of an ideal gas is as shown in the figure. The work done by the gas in the process $ABCD$ is:

Syngamy means:

The number of electrons in the valence shell of the central atom of a molecule is $8$. The molecule is

Which of the following has the largest population in a food chain?

Vedclass Test Series

Exam Paper Generator

Online Exam Module