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

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

JEE MainJEE Main 2022States of Matter

Solution:

Assuming ideal behaviour $P =\frac{ dRT }{ M }$
$P =\frac{100}{760} atm , T =257+273=530 K$
$d =0.46 \,gm / L$
So $M =\frac{0.46 \times 0.082 \times 530}{100} \times 760$
$=151.93 \approx 152$