Volume of $0.5 \ mole$ of a gas at $1 \ atm$ pressure and $273 \ K$ is ............. $litres$.

"Equal volumes of all gases at the same temperature and pressure contain equal number of particles." This statement is a direct consequence of

Starting out on a trip into the mountains,you inflate the tires on your automobile to a recommended pressure of $3.21 \times 10^5 \ Pa$ on a day when the temperature is $-5.0 \ ^\circ C$. You drive to the beach,where the temperature is $28 \ ^\circ C$. Assume that the volume increased by $3 \%$. What is the final pressure in the tires?

The densities of two gases are in the ratio $1:2$ and their temperatures are in the ratio $2:1$. What is the ratio of their corresponding pressures?

$V_0$ and $V_t$ are the volumes of a fixed mass of an ideal gas at $0^\circ \text{C}$ and $t^\circ \text{C}$ respectively at constant pressure. Find the ratio $V_t / V_0$.

An evacuated glass vessel weighs $40.0 \ g$ when empty,$135.0 \ g$ when filled with a liquid of density $0.95 \ g \ mL^{-1}$ and $40.5 \ g$ when filled with an ideal gas at $0.82 \ atm$ at $250 \ K$. The molar mass of the gas in $g \ mol^{-1}$ is .... .
(Given : $R = 0.082 \ L \ atm \ K^{-1} \ mol^{-1}$ )