The root mean square value of the speed of the molecules in a fixed mass of an ideal gas is increased by increasing

Question

The root mean square value of the speed of the molecules in a fixed mass of an ideal gas is increased by increasing (A) the temperature while keeping the volume and pressure constant (B) the pressure while keeping the volume constant (C) the temperature while keeping the pressure constant (D) the pressure while keeping the temperature constant

Tardigrade Admin · Accepted Answer

The root mean square velocity of a gas is given by:

V_{RMS} = \frac{3 RT}{M}

As we can see, increasing the temperature alone can increase the RMS velocity of sample of gas irrespective of pressure or volume changes.

Q. The root mean square value of the speed of the molecules in a fixed mass of an ideal gas is increased by increasing

the temperature while keeping the volume and pressure constant

the pressure while keeping the volume constant

the temperature while keeping the pressure constant

the pressure while keeping the temperature constant

The root mean square velocity of a gas is given by: VRMS​=M3RT​​ As we can see, increasing the temperature alone can increase the RMS velocity of sample of gas irrespective of pressure or volume changes.

The root mean square velocity of a gas is given by:
$V_{RMS} = \frac{3 RT}{M}$
As we can see, increasing the temperature alone can increase the RMS velocity of sample of gas irrespective of pressure or volume changes.