Question

Consider the following reaction.

\[\ce{SO2(g) + 1/2 O2(g) <=>[K1] SO3(g)}\]

\[\ce{2SO3(g)<=>[K2] 2SO2(g) + O2(g)}\]

What is the relation between K₁ and K₂?

Options

• `"K"_1 = 1/"K"_2`

• `"K"_1 = 1/sqrt("K"_2)`

• `"K"_1 = "K"_2`

• `"K"_1 = 1/("K"_2^2)`

Answer 1

`"K"_1 = 1/sqrt("K"_2)`

Explanation:

For first reaction, `"K"_1 = (["SO"_3])/(["SO"_2]["O"_2]^(1//2))`

For 2nd reaction, `"K"_2 = (["SO"_2]^2 ["O"_2])/(["SO"_3]^2)`

`"K"_1 = 1/sqrt("K"_2)`