Fill in the blanks for the following statements: the rms speed of the molecules in a sample of h2 gas at 300 k will be times larger than the rms speed of o2 molecules at the same temperature, and the ratio µrms (h2) / µrms (o2) with increasing temperature.

Answer : The rms speed of the molecules in a sample of gas at 300 K will be four times larger than the rms speed of molecules at the same temperature, and the ratio constant with increasing temperature.

Explanation :

Formula used for root mean square speed :

where,

= rms speed of the molecule

R = gas constant

T = temperature

M = molar mass of the gas

At constant temperature, the formula becomes,

And the formula for two gases will be,

Molar mass of = 32 g/mole

Molar mass of = 2 g/mole

Now put all the given values in the above formula, we get

Therefore, the rms speed of the molecules in a sample of gas at 300 K will be four times larger than the rms speed of molecules at the same temperature.

And the ratio constant with increasing temperature because rms speed depends only on the molar mass of the gases at same temperature.

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