For elementary reaction : aA + bB ⟶ Product, the rate of reaction is given by ( dt d x ) = k [ A ] a [ B ] b If concentration of A is doubled, the rate becomes four times. If concentration of B is m

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For elementary reaction : aA + bB ⟶ Product, the rate of reaction is given by ( dt d x ​ ) = k [ A ] a [ B ] b If concentration of A is doubled, the rate becomes four times. If concentration of B is made four times, the rate becomes double. What is relation between rate of disappearance of A and that of B?

TestHub · Accepted Answer

Order = n , multiple = m . New rate = m n . 2 a = 4 ⟹ a = 2 4 b = 2 ⟹ b = 1/2 So, the reaction is 2 A + 2 1 ​ B ⟶ P ro d u c t . Therefore, R = − 2 1 ​ d t d [ A ] ​ = − 2 d t d [ B ] ​ or − d t d [ A ] ​ = − 4 d t d [ B ] ​ .

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