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

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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.

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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
  Is there an error in this question or solution?
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