A gaseous compound A reacts by three independent first order processes (as shown in figure) with rate . constant `2 xx 10^(-3) , 3X10^(-3)` and `1.93 xx10^(-3) sec^(-1)` for products B, C and D respectively. If initially pure A was taken in a closed container with P = 8 atm, then the partial pressure of B (in atm) after 100 sec from start of experiment.

Options

A. 0.288
B. 0.577
C. 1.154
D. 0.33

Answer

C

Explanation

overall rate constant =`k=k_(1)+k_(2)+k_(3)=6.93 xx10^(-3)`
`(P_(B))/(P_(B)+P_(C )+P_(D))=(K_(1))/(K_(1)+k_(2)+k_(3))=(200)/(693), P_(B)=4xx200/693=1.154 atm`