Kinetic Theory and Gas Laws

What is Avogadro's law?

Based on kinetic theory of gases following laws can be proved-

The nature of the $\mathrm{V}-\mathrm{t}$ ( $\mathrm{t}$ in Celsius scale) graph in Charle's law's  

The molecules of monatomic gas has only three transitional degrees of freedom, thus the average energy of a molecule at temperature $\mathrm{T}$ is-

Ratio of $\mathrm{rms}$ velocities of ${\mathrm{O}}_2$ and ${\mathrm{H}}_2$ at equal temperature will be

$600 \mathrm{cc}$ of a gas at a pressure of $750 \mathrm{mm}$ is compressed to $500 \mathrm{cc}$. Taking the temperature to remain constant, the increase in pressure, is

The total number of Helium atoms in 1 gm of Helium gas would be close to

Hydrogen gas is filled in a balloon at $20°\mathrm{C}$. If temperature is made $40°\mathrm{C}$, pressure remaining same, what fraction of hydrogen will come out ?

Two identically sized rooms $A and B$ are connected by an open door. If the room $A$ is air-conditioned such that its temperature is $4° C$ lesser than room $B$, which room has more air in it?