At a temperature of $18^{\circ}C$ and a pressure of $765 \, torr$,the weight of $1.299 \, L$ of a gas is $2.71 \, g$. Calculate the molar mass of the gas at $STP$.

The same gas is filled in two containers $X$ and $Y$. If the pressure,volume,and absolute temperature of the gas in container $X$ are three times those in container $Y$,and the mass of the gas in $X$ is $m \, g$,what will be the mass of the gas in $Y$?

How many times the volume of a diatomic gas should be increased reversibly and adiabatically in order to reduce its $RMS$ velocity to half of its initial value?

$A$ flask of $1 \ L$ capacity is heated from $25 \ ^oC$ to $35 \ ^oC$. What volume of air (in $mL$) will be expelled from the flask?

$A$ 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 $L$)?

$A$ $2.24\,L$ oxygen cylinder shows a leakage at $NTP$. When the leakage is plugged,the pressure drops by $570\,mm\,Hg$. What is the number of moles of gas that escaped?