1.

For a reaction :A to B toProducts , the rate of the reaction at various concentrations are given below : The rate law for the above reaction is

Answer»

A) `R = k [A]^(2) [B]`
B) `r = k [A] [B]^(2)`
C) `r = k [A]^(3) [B]`
D) `r = k [A]^(2) [B]^(2)`

Solution :`A to B to ` Products
Rate = `k [A]^(alpha) [B]^(BETA)`
From expt. No. 1
`2 = k[0.2]^(alpha) [0.2]^(beta) "" … (1)`
From expt. No. 2
`4 = k [0.2]^(alpha) [0.4]^(beta) "" …. (2)`
dividing eq. (1) and (2) we get `(2)/(4) = (k[0.2]^(alpha) [0.2]^(beta))/(k[0.2]^(alpha) [0.4]^(beta)) or (1)/(2) = [(1)/(2)]^(beta) implies beta = 1`
From expt. No. 3
`36 k = [0.6]^(alpha) [0.4]^(beta) "" ... (3)`
dividing eqn. (2) and (3) we get
`(4)/(36) = (k[0.2]^(alpha) [0.4]^(beta))/(k[0.6]^(alpha) [0.4]^(beta))or (1)/(9) = [(1)/(3)]^(alpha) implies alpha= 2 `
`implies` Rate law for the given REACTION is `r = k [A]^(2) [B]^(1)`


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