Chemical Kinetics Question 30

Question: The rate law for a reaction between the substances A and B is given by, rate $ =k{{[A]}^{n}}{{[B]}^{m}} $ . On doubling the concentration of A and halving the concentration of B, the ratio of the new rate to the earlier rate of the reaction will be as [AIEEE 2003]

Options:

A) $ \frac{1}{{2^{(m+n)}}} $

B) $ (m+n) $

C) $ (n-m) $

D) $ {2^{(n-m)}} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ R=K{{(A)}^{n}}{{(B)}^{m}} $

$ R’=K{{(2A)}^{n}}{{( \frac{B}{2} )}^{m}} $

$ =K{{(A)}^{n}}2^{n}{{(B)}^{m}}{2^{-m}} $

$ =K{{(A)}^{n}}{{(B)}^{m}}{2^{n-m}} $ , $ \frac{R’}{R}=\frac{K{{(A)}^{n}}{{(B)}^{m}}{2^{n-m}}}{K{{(A)}^{n}}{{(B)}^{m}}}={2^{n-m}} $



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