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For $A + B \to C + D$ when $[A]$ alone is doubled, rate gets doubled. But, when $[B]$ alone is increased by 9 times, rate gets tripled. Then, order of reaction is

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3/4

3/2

4/9

answer is B.

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Detailed Solution

$[A] a l o n e d o u b l e r a t e d o u b l e d t h e n r α {[A]}^{1}$ $[B] i n c r e a s e d 9 t i m e s r a t e t r i p l e d t h e n r α {[B]}^{1 / 2}$

Then $r = K {[A]}^{1} {[B]}^{1 / 2}$

oder $n = 1 + \frac{1}{2} = \frac{3}{2}$

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