The root mean square velocity of a gas is doubled when the temperature is :

Question

The root mean square velocity of a gas is doubled when the temperature is : (A) reduced to half (B) reduced to one-fourth (C) increased four times (D) increased two times

Tardigrade Admin · Accepted Answer

Root mean square velocity of gas is given by Urms=√(3RT/M)=√(3PV/M)=√(3P/d) From the above it is clear that r.m.s speed is doubled when the temperature increased four times.

Q. The root mean square velocity of a gas is doubled when the temperature is :

reduced to half

reduced to one-fourth

increased four times

increased two times

Root mean square velocity of gas is given by $U_{r m s} = \frac{3 RT}{M} = \frac{3 P V}{M} = \frac{3 P}{d}$ From the above it is clear that r.m.s speed is doubled when the temperature increased four times.

Q. The root mean square velocity of a gas is doubled when the temperature is :

reduced to half

reduced to one-fourth

increased four times

increased two times

Root mean square velocity of gas is given by Urms​=M3RT​​=M3PV​​=d3P​​ From the above it is clear that r.m.s speed is doubled when the temperature increased four times.

Root mean square velocity of gas is given by $U_{r m s} = \frac{3 RT}{M} = \frac{3 P V}{M} = \frac{3 P}{d}$ From the above it is clear that r.m.s speed is doubled when the temperature increased four times.