The absolute temperature of a gas determines

Question

The absolute temperature of a gas determines (A) the average momentum of the molecule (B) the velocity of sound in the gas (C) the number of molecules in the gas (D) the mean square velocity of the molecules

Tardigrade Admin · Accepted Answer

The velocity of sound in a gas is given by:

< b r / > < b r / > v_{sound} = \frac{γ RT}{M} < b r / > v_{mean square} = v_{RMS}^{2} = \frac{3 RT}{M} < b r / > < b r / >

Hence, both mean square velocity and velocity of sound are functions of temperature.

Q. The absolute temperature of a gas determines

the average momentum of the molecule

the velocity of sound in the gas

the number of molecules in the gas

the mean square velocity of the molecules

The velocity of sound in a gas is given by: <br/><br/>vsound ​=MγRT​​<br/>vmean square ​=vRMS2​=M3RT​<br/>​<br/> Hence, both mean square velocity and velocity of sound are functions of temperature.

The velocity of sound in a gas is given by:
$< b r / > < b r / > v_{sound} = \frac{γ RT}{M} < b r / > v_{mean square} = v_{RMS}^{2} = \frac{3 RT}{M} < b r / > < b r / >$
Hence, both mean square velocity and velocity of sound are functions of temperature.