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The rate of the elementary reaction, A(2...

The rate of the elementary reaction, `A_(2(g))+B_(2(g)) Leftrightarrow 2AB_(g)` is given by rate `=1.7 xx 10^(-18) [A_2][B_2]`. The rate of decomposition of gaseous AB to `A_2 and B_2` is given by rate `=2.4 xx 10^(-21)[AB]_2.` The equilibrium constant, for the formation of AB from `A_2 and B_2` is

A

`1.4 xx 10^(-3)`

B

`2.8 xx 10^(-3)`

C

`1.4 xx 10^(3)`

D

`0.7 xx 10^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`A_(2 (g))+B_(2(g)) underset(k_(b))overset(k_(f))to 2AB_(g)`
Rate of forward reaction `(r_(f))=k_(f) [K_(2] [B_(2)]`
Rate of backward reaction `(r_(b))=k_(b) [AB]^2`
`k_(f)=1.7 xx 10^(-18), k_(b)=2.4 xx 10^(-21)`
`K=k_(f)/k_(b)=(1.7 xx 10^(-18))/(2.4 xx 10^(-21))=0.708 xx 10^(3)`
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