For a reaction 2 A + B → P , when concentration of B alone is doubled, rate does not change and when concentrations of both A and B is doubled, rate increases by a factor of 4 . The unit of rate const

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For a reaction 2 A + B → P , when concentration of B alone is doubled, rate does not change and when concentrations of both A and B is doubled, rate increases by a factor of 4 . The unit of rate constant is,

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Hint : Rate law: r = k [ A ] α [ B ] β B follows first order kinetics. ∴ β = 1 r 1 ​ r 2 ​ ​ = [ A ] α [ B ] β [ 2 A ] α [ 2 B ] p ​ or, 4 = 2 a + β or, α + β = 2 or, α = 1 ∴ overall order of reaction = 2 Hence unit of rate constant = L ⋅ mol − 1 ⋅ S − 1

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