Questions in Kinetic Theory of Gases

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The temperature of the hydrogen at which the average speed of its molecules is equal to that of oxygen molecules at a temperature of 31°C, is
The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the root mean square velocity of the gas molecules is v, at 480 K it becomes
Root mean square velocity of a particle is v at pressure P. If pressure is increased two times, then the r.m.s. velocity becomes
The root mean square speed of the molecules of a gas is
At temperature T, the r.m.s. speed of helium molecules is the same as r.m.s. speed of hydrogen molecules at normal temperature and pressure. The value of T is
The value of densities of two diatomic gases at constant temperature and pressure are ${{d}_{1}}$ and ${{d}_{2}}$, then the ratio of speed of sound in these gases will be
On any planet, the presence of atmosphere implies (${{C}_{rms}}$= root mean square velocity of molecules and ${{V}_{e}}$= escape velocity)
In the two vessels of same volume, atomic hydrogen and helium at pressure 1 atm and 2 atm are filled. If temperature of both the samples is same, then average speed of hydrogen atoms $< {{C}_{H}} >$ will be related to that of helium $< {{C}_{He}} >$ as
At a given temperature the r.m.s. velocity of molecules of the gas is
By what factor the r.m.s. velocity will change, if the temperature is raised from 27°C to 327°C

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