Q. A flask contains hydrogen and helium gases in the ratio $1 : 3$ at temperature $300\, K$. The masses of helium and hydrogen molecule are in the ratio $2 : 1$. What will be the ratio of the average kinetic energies of these molecules at $600\, K$ ?

Kinetic Theory Report Error

A

6

B

3

C

2

D

1

Solution:

At equal temperature, the average kinetic energies are equal, therefore ratio is $1 :1$.

Questions from Kinetic Theory

1. Which one of the following is not an assumption in the kinetic theory of gases?

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2. A gas at one atmosphere and 100 mL is mixed with another gas of equal moles at 0.5 atm and having volume 50 mL in flask of 1 L. What is their final pressure?

3. Two moles of monoatomic gas is mixed with three moles of a diatomic gas. The molar specific heat of the mixture at constant volume is

4. At what temperature is the root mean square speed of an atom in an argon gas cylinder equal to the rms speed of a helium gas atom at -$20\,{}^{\circ}C$ ? (Atomic mass of $Ar = 39 \,u$ and $He = 400 \,u$)

5. In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation $VT = K$, where $K$ is a constant. In this process the temperature of the gas is incresed by $\Delta T$. The amount of heat absorbed by gas is (R is gas constant) :

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