Question

Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46 g L^–1 at 257°C and 100 mm Hg. The molar mass of geraniol is ______ g mol^–1. (Nearest Integer)

[Given: R = 0.082 L atm K^–1 mol^–1]

Options

• 130

• 152

• 180

• 200

Answer 1

Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46 g L^–1 at 257°C and 100 mm Hg. The molar mass of geraniol is 152 g mol^–1.

Explanation:

Assuming ideal behaviour

P = `"dRT"/"M"`

Given: P = `100/760` atm

T = 257 + 273 = 530 K

d = 0.46 `"g"/"L"`

M = `"dRT"/"P"`

= `(0.46 xx 0.082 xx 530 xx 760)/100`

= 152

The molar mass of geraniol is 152 g mol^–1.