At $300 \ K$ temperature,the pressure of $2.5 \ g$ of $N_2$ gas is $4 \ bar$ and its volume is $2.5 \ L$. If the pressure becomes $10 \ bar$ at the same temperature,calculate its new volume. (in $L$)

At $N.T.P.$,the volume of a gas is found to be $273 \ mL$. What will be the volume of this gas at $600 \ mm \ Hg$ and $273 \ ^oC$? ................. $mL$

Calculate the new pressure of a gas enclosed in a cylinder when it is compressed from $5 \text{ L}$ to $2 \text{ L}$ at an initial pressure of $1 \text{ atm}$ and temperature of $300 \text{ K}$. The final temperature in this process is $500 \text{ K}$. (in $\text{ atm}$)

$1 \ L$ closed flask contains a mixture of $4 \ g$ of methane and $4.4 \ g$ of carbon dioxide. The pressure inside the flask at $27^{\circ} C$ is [Assume ideal behaviour of gases] (in $atm$)

$34.05 \ mL$ of phosphorus vapor weighs $0.0625 \ g$ at $546 \ ^oC$ and $0.1 \ bar$ pressure. What is the molar mass of phosphorus (in $g/mol$)?

At $25 \, ^\circ C$ temperature and $760 \, mm \, Hg$ pressure,the volume of a gas is $600 \, mL$. Calculate the pressure when the volume of this gas becomes $640 \, mL$ at $10 \, ^\circ C$ temperature. Use the ideal gas equation: $\frac{p_1 V_1}{T_1} = \frac{p_2 V_2}{T_2}$