Consider a reversible gas phase reaction:
A + B --> C
In this case there are more moles of reactants than products. Now, the equilibrium constant (expressed in terms of partial pressures) is:
K = Pc, eq/(Pa, eq*Pb, eq)
Where Pa, eq, Pb, eq, and Pc, eq are the partial pressures of each gas at equilibrium. Now, lets say we have a system at equilibrium then compress the system so that all of the pressures increase by a factor of two (e.g. the new partial pressure of gas a is P'a[/sup] = 2Pa, eq).
Now, calculate the reaction quotient:
Q = P'c / P'aP'a = 2Pc, eq/(2Pa, eq*2Pb, eq)
After some rearranging:
Q = (1/2) * ( Pc, eq/(Pa, eqPb, eq) ) = (1/2)K
Since Q = (1/2)K < K, the reaction will proceed forward.