Ammoina carbonate when heated to `200^(@)C` gives a mixture of `NH_(3)` and `CO_(2)` vapour with a density of `13.0` What is the degree of dissociation of ammonium carbonate ?

Options

A. `(3)/(2)`
B. `(1)/(2)`
C. `(5)/(2)`
D. 1

Answer

D

Explanation

`(NH_(4))_(2)CO_(3)(g)overset(200^(@)C)(hArr) 2NH_(3)(g)+CO_(2)(g)+H_(2)O(g)`
D(V.D. of amm. carbonate )
`=("Mol. mass of " (NH_(4))_(2)CO_(3))/(2)`
`=((14xx4)xx2+12+16x3)/(2)=(96)/(2)=48`
d(V.D. of mixture ) `=13`
y ( no. of moles of product from 1 mole of reactant `=4`
Degree of dissociation,
`x=(D-d)/(d(y-1))=(48-13)/(13(4-3))=(35)/(13xx3)~~1`