Consider the two gaseous equilibria: The values of the equilibrium constants K 1 and K 2 are related by

The question is missing parts. The complete question is as follows.

Consider the two gaseous equilibria involving SO2 and the corresponding equilibrium constants at 298K:

⇔ ;

⇔

The values of the equilibrium constants are related by:

a) =

b)

c)

d)

c)

Explanation: Equilibrium constant is a value in which the rate of the reaction going towards the right is the same rate as the reaction going towards the left. It is represented by letter K and is calculated as:

The concentration of each product divided by the concentration of each reagent. The indices, m and n, represent the coefficient of each product and each reagent.

The equilibrium constants of each reaction are:

⇔

⇔

Now, analysing each constant, it is easy to see that is the inverse of .

If you doubled the first reaction, it will have the same coefficients of the second reaction. Since coefficients are "transformed" in power for the constant, the relationship is: