# For a Reaction , a + B → C+D the Initial Rate for Different Reactions and Initial Concentrations of Reactants Are Given Below: - Chemistry (Theory)

Sum

For a reaction , A + B → C+D  the initial rate for different reactions and initial concentrations of reactants are given below:

 S.NO. Initial Conc. Initial rate (mole L–1 sec–1) [ A] mole L–1 [B] mole L–1 1 1.0 1.0 2xx10^-3 2 2.0 1.0 4xx10^-3 3 4.0 1.0 8xx10^-3 4 1.0 2.0 2xx10^-3 5 1.0 4.0 2xx10^-3

(i) What is the overall order of reaction?
(ii) Write the rate law equation.

#### Solution

r = K[A]^x[B]^y
2xx10^-3=k(1)^x(1)^y............(1)
4xx110^-3 = k(2)^x (1)^y............(2)
8xx10^-3 = k (4)^x (1)..........(3)
2xx10^-3= k(1)^x (2)^y...........(4)
2xx10^-3 = k(1)^x (4)^y............(5)

from eq. (1) & (2)
(2xx10^-3)/(4xx10^-3) = (k(1)^x(1)^y)/(k(1)^x(2)^y)
1/1=((1)/(2))^y
∴ y = 0
(i) Order of reaction = x + y
= 1 + 0 = 1

(ii) Rate law r = k [A]1 [B]

Concept: Meaning of Chemical Kinetics - Scope and Importance of Kinetics of the Reaction
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