States of Matter question bank (Chemistry)

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

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