Question

There are two statement about Ideal gases
Statement A The Vrms of gas molecules depends on the mass of the gas molecule and the temperature
Statement B The Vrms is same for all the gases at the same temperature
which one of the following is correct. Single choice.
A and B
A
B
N
Both incorrect

Answer 1

Mean velocity is also called average velocity denoted by uav

 rms velocity is denoted by urms and most probable velocity is denoted by umpv

A. uav=πM8RT;urms=M3RT

urmsuav=πM8RT×3RTM=3π8

 From this equation, it can be seen that ratio of mean velocity to rms velocity is constant and thus, independent of temperature.

B. umpv2=M2RT

4uav=4×πM8RT

umpv2=4uav

The square of the most probable speed of the gas molecules is not equal to four times its average speed.

C. K.E.=

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