Rate-Constant?

Question

How to derive rate-constant for a second order reaction when the concentration of reactants are are - (1)equal (2) unequal
Can you please derive it for me? It's an assignment & I just have 12 hours left.Please! Thanks!

Answer 1

Let
aA >> Products a second order reaction.
The law is :
- 1/a d[A] / dt = k[A]^2
- d[A] / [A]^2 = kdt
1 / [A] - 1 / [A]° = k(t-t°)

Let
aA + bB >> products a secon order reaction
if a=b and [A] = [ B]
v = - d[A] / dt = k [A]^2
k = 1/t ( 1 / [A] - 1 / [A°]

if a = b = 1 and A is not equal B
v = - d [A] / dt = k [A] [B]

Answer 2

The derivation contains many symbols which cannot be drawn here, better consult a text book.