At a certain temperature, Kp for the reaction

Question

At a certain temperature, K_p for the reaction,

Cl₂(g) <=> 2 Cl(g) is 0.000883.

Calculate the value of K_p for the reaction,

Cl(g) <=> 1/2 Cl₂(g)

Answer 1

The reaction for which you want to find the Kp is 1/2 the original reaction, i.e. it has been divided by 2.

Cl₂(g) <=> 2 Cl(g) divided by 2 gives Cl(g) <=> 1/2 Cl₂(g)

Whenever the coefficients of a reaction are multiplied by a factor, the new K is the original K raised to that factor. In this case, we are multiplying the original equation by 1/2 to obtain Cl(g) <=> 1/2Cl2(g), so we must raise the original K to the 1/2 power.

K' = (0.0008830^1/2

K' = 0.0297