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Write Brief Answer · Q10

Q.The rate law for a reaction of A, B and L has been found to be rate=k[A]2[B][L]3/2\text{rate}=k[A]^2[B][L]^{3/2}. How would the rate of reaction change when

(i) Concentration of [L] is quadrupled
(ii) Concentration of both [A] and [B] are doubled
(iii) Concentration of [A] is halved
(iv) Concentration of [A] is reduced to (13)\left(\dfrac{1}{3}\right) and concentration of [L] is quadrupled.
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Step 1 (i). [L][L] quadrupled, others fixed: new/old rate ratio =43/2=(41/2)3=23=8=4^{3/2}=(4^{1/2})^3=2^3=8. Rate increases 8-fold.

Step 2 (ii). Both [A][A] and [B][B] doubled, [L][L] fixed: ratio =22×21=4×2=8=2^2\times2^1=4\times2=8 (22^2 from A's order-2 dependence, 21^1 from B's order-1 dependence). Rate increases 8-fold.

Step 3 (iii). [A][A] halved, others fixed: ratio =(1/2)2=1/4=(1/2)^2=1/4. Rate falls to 1/4 of the original. …

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