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qUESTIONS

Compare the rms speed of hydrogen molecules at 127 °C with rms speed of oxygen molecules at 27 °C given that molecular masses of hydrogen and oxygen are 2 and 32 respectively.

At what temperature will oxygen molecules have same rms speed as helium molecules at S.T.P.? (Molecular masses of oxygen and helium are 32 and 4 respectively)

Show that rms velocity of an oxygen molecule is sqrt(2) times that of a sulfur dioxide molecule at S.T.P.

A gas in a cylinder is at pressure P. If the masses of all the molecules are made one third of their original value and their speeds are doubled, then find the resultant pressure.

Two vessels A and B are filled with same gas where volume, temperature and pressure in vessel A is twice the volume, temperature and pressure in vessel B. Calculate the ratio of number of molecules of gas in vessel A to that in vessel B.

Calculate the ratio of mean square speeds of molecules of a gas at 30 K and 120 Κ.

The difference between the two molar specific heats of a gas is 8000 J k * g⁻¹ * K⁻¹ . If the ratio of the two specific heats is 1.65, calculate the two molar specific heats.

Given the values of the two principal specific heats, Sp = 3400 cal kg⁻¹ * K⁻¹ and Sv = 2400 cal kg⁻¹ * K⁻¹ for the hydrogen gas, find the value of J if the universal gas constant R = 8300J kg⁻¹ * K⁻¹ .

At 300 K, what is the rms speed of Helium atom? [mass of He atom is 4u, 1u = 1.66 * 10² – 27 * kg kB = 1.38 * 10² – 23 * J / K ]

Obtain the mean free path of nitrogen molecule at 0 °C and 1.0 atm pressure. The molecular diameter of nitrogen is 324 pm (assume that the gas is ideal).

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