what is the relationship between the rate of production of ammonia and the rate of consumption of hydrogen?

N2 + 3 H2 = > 2 NH3

Rate of reaction = - d[N2]/dt = (-1/3) x d[H2]/dt = (1/2) x d[NH3]/dt

Rate of production of ammonia = d[NH3]/dt

Rate of consumption of hydrogen = - d[H2]/dt

From the equations above:

(1/2) x d[NH3]/dt = (-1/3) x d[H2]/dt

d[NH3]/dt = (2/3) x (-d[H2]/dt)

Thus the relationship is:

Rate of production of ammonia = (2/3) x Rate of consumption of hydrogen