For the equilibrium `AB(g) hArr A(g)+B(g)`. `K_(p)` is equal to four times the total pressure. Calculate the number moles of A formed if one mol of AB is taken initially.

Options

A. `0.45`
B. `0.30`
C. `0.60`
D. `0.90`

Answer

D

Explanation

`{:(,AB(g),hArr,A(g),+,B(g)),(underset(("moles"))(t=0),1,,0,,0),(t=t_("eq"),1-alpha,,alpha,,alpha):}`
`rArr K_(p)=(p_(A).p_(B))/P_(AB)=((alpha/(a+alpha)P)(alpha/(a+alpha)P))/((1-alpha)/(1+alpha)P)`
`rArr K_(p)=(x^(2)P)/(1-alpha^(2))=4P ("given") rArr alpha=0.9`