$A$ certain sample of gas occupies a volume of $0.2 \ L$ at $0 \ ^oC$ and $1 \ \text{atm}$ pressure. What will be its volume at the same pressure but at $273 \ ^oC$ (in $L$)?

What is the ideal gas equation? Derive the equation for an ideal gas and describe the characteristics of $R$ and its value.

Pressure of $1 \, g$ of an ideal gas $A$ at $27^{\circ} C$ is found to be $2 \, bar$. When $2 \, g$ of another ideal gas $B$ is introduced in the same flask at the same temperature,the pressure becomes $3 \, bar$. Find a relationship between their molecular masses.

In order to increase the volume of a gas by $10 \%$ at constant temperature,the pressure of the gas should be:

If $28 \ g$ of $N_2$ gas occupies a volume of $10 \ L$ at a pressure of $2.46 \ atm$,the temperature will be ......... $K$.

Using the equation of state $pV = nRT$,show that at a given temperature,the density of a gas is proportional to the gas pressure $p$.