1.

Consider the reaction 2A + B to C + D Following results was obtained in experiments designed to study the rate of reaction" a) Write the rate law for the reaction b) Calculate the value of rate constant for the reactio. c) Which of the following possible reaction mechanisms is consistent with the rate law found in (a) ? I. A + B to C + E (slow) A + E to D (fast) IIgt B to C+E (slow) A + E to F (fast) A + F to D (fast)

Answer»


Solution :The rate LAW may be expressed as:
Rate = `k[A]^(p)[b]^(q)`…………….(i)
`("Rate")_(1) = k[0.1]^(p)[0.10]^(q)=1.5 xx 10^(-3)`……………(i)
`("Rate")_(2)=k[0.20]^(p)[0.20]^(q)=3.0 xx 10^(-3)`………..(II)
`("Rate")_(3) = k[0.20]^(p)[0.40]^(q)=6.0 xx 10^(-3)`...............(iii)
Divide equation (iii) by (ii)
`(k[2.0]^(p)[0.20]^(q))/(k[0.10]^(p)[0.1]^(q)) = (6.0 xx 10^(-3))/(3.0 xx 10^(-3)) = 2`
`[2]^(q) =[2]^(1)` or q=1
Divide equation (ii) by (i)
`(k[0.20]^(p)[0.20]^(q))/(k[0.10]^(p)[0.1]^(q)) = (3.0 xx 10^(-3))/(1.5 xx 10^(-3))=2`
`[2]^(p)[2]^(q)=2` or `[2]^(p)[2]^(1)=2`
or `[2]^(b)[2]6(1) = [2]^(1)[2]^(0)` or p=0
Order w.r.t. p=0, Order w.r.t to q=1
a) Rate law for the reaction =`k[A]^(0)[B]^(1)`
b) Value of rate constant from expt. No. 1.
`k[0.10]^(0)[0.10]^(1) = 1.5 xx 10^(-3)` or k`=1.5 xx 10^(-2)`
c) SINCE the order of reaction is ONE, reaction mechanism (II) is in consistent with the rate law. In this, the rate determining steps is:
`B to C +E` (slow)


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