Problem

We can also express the relationship between

K

and

K'

for multiples of a reaction. Doubling the reaction coefficients squares the equilibrium expression,

K' = K^2

, and halving the reaction coefficients square roots the equilibrium expression,

K' = \sqrt{K}

. At a given temperature, the reaction

2\text{SO}_2(\text{g}) + \text{O}_2(\text{g}) \rightleftharpoons 2\text{SO}_3(\text{g})

has a value of

K = 278

. Determine values of

K

for the following reactions at this temperature.