Question

At a given temperature, the elementary reaction A − ⇀ ↽ − B , in the forward direction, is first order in A with a rate constant of 0.0340 s − 1 . The reverse reaction is first order in B and the rate constant is 0.0740 s − 1 . What is the value of the equilibrium constant for the reaction A − ⇀ ↽ − B at this temperature?

Answer 1

0.4595 is the value of the equilibrium constant for the reaction.

Step-by-step explanation:

A ⇆ B

The forward direction, is first order in A with a rate constant = K =
`0.0340 s^(-1)`

The rate of forward reaction = R

`R=K[A]`

The backward direction, is first order in A with a rate constant = K' =
`0.0740 s^(-1)`

The rate of backward reaction = R'

`R'=K'[B]`

At equilibrium rate of forward reaction are equal to the rate of backward reaction.

R = R'

`K[A]=K'[B]`

`K_(eq)=([B])/([A])=(K)/(K')=(0.0340 s^(-1))/(0.0740 s^(-1))=0.4595`

0.4595 is the value of the equilibrium constant for the reaction.