For a fixed mass of an ideal gas,the following graph is given. Determine the correct relationship between $P_1, P_2$ and $P_3$.

$A$ $3.7 \ g$ sample of a gas occupies the same volume at $25 \ ^\circ C$ as $0.184 \ g$ of $H_2$ gas at $17 \ ^\circ C$ at the same pressure. The molecular weight of the gas is:

Volume occupied by a gas at $1 \, \text{atm}$ pressure and $0 \, ^\circ C$ is $V \, mL$. Its volume at $273 \, K$ will be

The use of hot air balloons for sports and meteorological observations is based on which of the following laws?

Calculate the number of total atoms and molecules in $4 \, L$ of $SO_2$ gas at $350 \, K$ temperature and $10^3 \, Pa$ pressure. $[R = 8.3144 \, J \, K^{-1} \, mol^{-1}]$.

$A$ vessel contains $3.2 \ g$ of dioxygen gas at $STP$ ($273.15 \ K$ and $1 \ atm$ pressure). The gas is now transferred to another vessel at constant temperature,where pressure becomes one third of the original pressure. The volume of the new vessel in $L$ is $........$ (Given: molar volume at $STP$ is $22.4 \ L$)