Manipulating equilibrium constants

Since the expression for the reaction quotient  depends on the reaction equation the magnitude of K also depends on how the reaction equation is written.
 
(1) CaCO3(s) CaO(s) + CO2(g)
K1 = [CO2]
 


If the equation is reversed, 
the reaction quotient expression is inverted, and the new K = 1/K1 = (K)–1


(2) CaCO3(s) CaO(s) + CO2(g)
K2  =  1 = [CO2]–1
[CO2]


If the coefficients are all multiplied by n,
the reaction quotient expression is raised to the n power and the new K = (K1)n.
n = 2 in the example below.

2CaCO3(s) 2CaO(s) + 2CO2(g)

K3 = [CO2 ]2