Questions in Kinetic Theory of Gases

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The average speed v and r.m.s. speed $\bar{v}$ of the molecules are related as
The respective speeds of five molecules are 2, 1.5, 1.6, 1.6 and 1.2 km/sec. The most probable speed in km/sec will be
At which temperature the velocity of $O_2$ molecules will be equal to the velocity of $N_2$ molecules at 0°C
The respective speeds of the molecules are 1, 2, 3, 4 and 5 km/sec. The ratio of their r.m.s. velocity and the average velocity will be
Two vessels having equal volume contains molecular hydrogen at one atmosphere and helium at two atmospheres respectively. If both samples are at the same temperature, the mean velocity of hydrogen molecules is
The temperature of an ideal gas is increased from 27°C to 927°C. The root mean square speed of its molecules becomes
According to the kinetic theory of gases the r.m.s. velocity of gas molecules is directly proportional to
At a given temperature the root mean square velocities of oxygen and hydrogen molecules are in the ratio
At what temperature the molecules of nitrogen will have the same r.m.s. velocity as the molecules of oxygen at 127°C
r.m.s. velocity of nitrogen molecules at NTP is

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