At $273 \ K$ temperature and $76 \ cm \ of \ Hg$ pressure,the volume of $1.786 \ g$ of a gas is $1 \ L$. The gas is likely to be .........

Geraniol,a volatile organic compound,is a component of rose oil. The density of the vapour is $0.46 \, g \, L^{-1}$ at $257^{\circ} C$ and $100 \, mm \, Hg$. The molar mass of geraniol is $....$ (Nearest Integer) [Given $R = 0.082 \, L \, atm \, K^{-1} \, mol^{-1}$]

The ratio of densities of two gases is $1 : 2$. If the ratio of their temperatures is $2 : 1$,find the ratio of their corresponding pressures. (Assume the molar masses of the gases are equal.)

At constant pressure,the temperature of $20 \ L$ of helium gas is increased from $100 \ K$ to $300 \ K$. What will be the change in volume in $L$?

What will be the pressure exerted by a mixture of $3.2 \ g$ of methane and $4.4 \ g$ of carbon dioxide contained in a $9 \ dm^3$ flask at $27^{\circ} C$?

$A$ student forgot to add the reaction mixture to the round bottomed flask at $27^{\circ} C$ but instead he/she placed the flask on the flame. After a lapse of time,he realized his mistake,and using a pyrometer he found the temperature of the flask was $477^{\circ} C$. What fraction of air would have been expelled out?