Class 12 Chemistry Chemical Kinetics Zeroth order reaction

Zeroth order reaction

If the rate of reaction is independent of concentration of the reactant participating in the reaction then the reaction is called Zeroth order reaction.

 

A --> B

At time t = 0 concentration of A (reactant) is a and B (product) is 0. At time t = t the concentration of A (reactant) is (a-x) and that of B (product) is x.

-d[A]/dt = k0[A]0 => dx/dt = k0(a-x)0

dx/dt = k0

0x  dx =k00 x  dt

X = k0t

PROBLEM.   The decomposition of NH3on platinum surface is zero order reaction. What are the rates of production of N2and H2if k = 2.5 x 10-4mol-1L s-1?

SOLUTION.    2NH3  --> N2 + 3H2

Rate of zero order reaction

-1/2 (d[NH3]/dt) = d[N2]/dt = 1/3 (d[H2]/dt)

-1/2 (d[NH3]/dt) = d[N2]/dt = 1/3 (d[H2]/dt)= k = 2.5 x 10-4 mol L-1 s-1

Rate of production of N2

d[N2]/dt = 2.5 x 10-4 mol L-1 s-1

Rate of production of H2

d[H2]/dt = 3 x 2.5 x 10-4 mol L-1 s-1

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