A compound 'A' dissociate by two parallel first order paths atcertain temperature
`A(g) overset(k_(1)(min^(-1))rarr2B(g) k_(1)=6.93xx10^(-3) min^(-1)`
`A(g)overset(k_(2)(min^(-1))rarrC(g) k_(2)=6.93xx10^(-3) min^(-1)`
The reaction started whith 1 mole of pure A in 1 litre closed container with the initial pressure 2 atm what is the pressure (in atm ) developed in container after 50 minuts from start of experiment?

Options

A. 1.25
B. 0.75
C. 1.5
D. 2.5

Answer

D

Explanation

`A overset(k_(1))rarr 2B A overset(k_(2))rarrC`
`a_(0)-x-y 2x a_(0)-x-y y`
`(k_(1)+k_(2))t=ln(A_(0))/(A_(t))2xx6.93 xx10^(-3) xx50=ln(A_(0))/(A_(t))=[A]_(t)=[A_(0)]/(2)=a_(0)-x-y=a_(0)//2(because x=y)`
% increase in moles `rarr` 25 so final pressure =`2xx1.25 =2.5 atm`