The rate consant for the forward reation
`A(g) iff 2B(g)` is `1.5 xx 10^(-3)s^(-1)` at 300 K
If `10^(-5)` moles of A and 100 moles of B are present in 10L vessel at equilibrium, then select correct statement(s).

Options

A. The rate constant of the backward reaction is greater than the rate constant of the forward reaction at given temperature.
B. The rate constant of the backward reaction is lesser than the rate constant of the forward reaction at given temperature.
C. The value of equilibrium constant `(K_(c ))` is `10^(-8)M`.
D. The value of rate constant of the backward direction at given temperature is `1.5 xx 10^(-11) M^(-1)S^(-1)`

Answer

B, D

Explanation

`K=([B]^(2))/([A])=((100//10)^(2))/((10^(-5)//10))=(k_(f))/(k_(b))=(1.5 xx10^(-3))/(k_(b))=10^(8)thereforek_(b)=(1.5xx10^(-3)xx(10^(-6)))/(10^(2))=1.5 xx 10^(-11)`