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Reaction rate between two substance A and B is expressed as following: rate =k[A]^n[B]^m If the concentration of A is doubled and concentration of B is made half of initial concentration, the ratio of the new rate to the earlier rate will be:

Options

  1. Am+n
  2. Bn-m
  3. C1 .2^ (m+n )
  4. D.2^ (n-m )

Correct answer

D. .2^ (n-m )

Step-by-step solution

aligned Rate ₁ & =k[A]^n[B]^m Rate ₂ & =k[2 A]^n [ 1 2 B ]^m Rate ₂ Rate ₁ & = k[2 ~A ]^n [ 1 2 ~B ]^m k[ ~A ]^n[ ~B ]^m =(2)^n ( 1 2 )^m & =2^n (2)^ -m =2^ n-m aligned

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