For the reaction A = B , the rate of reaction becomes twenty seven times when the concentrationof A is increased three times . what is the order of the reaction ?

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Solution

$T h e g i v e n r e a c t i o n i s A \Leftrightarrow B R = K {[A]}^{x} W h e n t h e c o n c e n t r a t i o n o f A i s i n c r e a s e d 3 t i m e s t h e r a t e i n c r e a s e s b y 27 t i m e s 27 R = K {[3 A]}^{x} 27 R = K 3^{x} {[A]}^{x} 27 R = 3^{x} R (\sin c e R = K {[A]}^{x}) 3^{3} = 3^{x} x = 3 T h u s o r d e r o f t h e r e a c t i o n i s 3$

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