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

JEE Main · 2022 · 29 Jun 2022 · Shift 1 · Some Basic Concepts of Chemistry

Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is

0.46 gL^{- 1}

25 7^{\circ} C

and 100 mm Hg. The molar mass of geraniol is ______ (Nearest Integer)
[Given

R = 0.082 L atm K^{- 1} mol^{- 1}

]

Answer: 152

Using the ideal gas equation in the form

P = \frac{d R T}{M}

, where

d

is density and

M

is molar mass:

P = \frac{100}{760} atm

T = 257 + 273 = 530 K

d = 0.46 g/L

Rearranging:

M = \frac{d R T}{P} = \frac{0.46 \times 0.082 \times 530}{100/760} = \frac{0.46 \times 0.082 \times 530 \times 760}{100} = 151.93 \approx 152

JEE Main · 2022 · 29 Jun 2022 · Shift 1 · Integer answer