Question
Two containers of same size are at the same temperature. One of them contains 1 kg of H2 gas and other 1 kg of O2 gas.
(a) Which vessel contains more molecules?
(b) Which vessel is under greater pressure?
Solution
(a) Since molecular weight of H2 is less than that of oxygen, therefore the number of moles and hence molecules in 1 kg of H2 are greater than in O2.
b) Pressure of a gas in terms of density is given by,
P =
Here, density of both gases is the same.
So,
b) Pressure of a gas in terms of density is given by,
P =
Here, density of both gases is the same.
So,
Now, according to kinetic interpretation of temperature,
i.e., P
Mass of hydrogen molecules is less than that of oxygen molecule. Therefore, more pressure is exerted on the H2 gas container than the O2 gas container.
i.e., P
Mass of hydrogen molecules is less than that of oxygen molecule. Therefore, more pressure is exerted on the H2 gas container than the O2 gas container.
