Question

A compound exists in the gaseous state both as monomer (A) and dimer (A₂) .The molecular weight of the monomer is 48. In an experiment, 96 g of the compound was confined in a vessel of volume 33.6 Iitres and heated to 273°C. Calculate the pressure developed, if the compound exists as a dimer to the extent of 50% by weight under this condition, assuming that temperature does not affect the physical state of the dimer.

(a) 0.67 atm 

(b)1 atm 

(c) 1.33 atm 

(d) 2 atm

Answer 1

Correct option: (d) 2 atm

Explanation:

Molecular wt. of monomer = 48 gm

so molecular wt. of dimer will be 98 gm

In experiment, Mass of compound = 96 gm

Volume of vessel = 33.6 L

Temperature = 273° C → 273 + 273 = 546 K

If compound exist as a dimer then mass extent of mass by 50% of wt.

so 50% of 96 = 48 gm

Now weight = 96 + 48 = 144 gm

Pv = nRT