QJEEM22Ch1038: JEE Main 2022 Chemistry - Class 11 JEEM22Ch1038 Solution: Geraniol, a volatile organic compound, is a component of rose…

From ideal gas equation we know

PV = nRT

$$\Rightarrow PV=\frac{W}{M}RT$$

$$\Rightarrow P=\frac{W}{V}.\frac{RT}{M}$$

$$\Rightarrow P=d.\frac{RT}{M}$$ [$$\because$$ $$d=\frac{W}{V}$$]

We know, 760 mm of Hg = 1 atm

$$\therefore$$ 100 mm of Hg = $$\frac{100}{760}$$ atm

$$\therefore$$ Pressure (P) = $$\frac{100}{760}$$ atm

Density (d) = 0.46

R = 0.082 L atm K^$$-$$1 mol^$$-$$1

T = (257 + 273) K = 530 K

Putting the values in above equation, we get

$$\frac{100}{760}=\frac{0.46\times 0.082\times 530}{M}$$

$$\Rightarrow$$ M = 152