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For a reaction 2 A + B → Products, doubling the concentration of B alone doubles the rate and doubling the initial concentration of both the reactants increases the rate by a factor of 8 . The rate law for the reaction is

Options

  1. AR a t e = k [ A ] [ B ] 2
  2. BR a t e = k [ A ] 2 [ B ] 2
  3. CR a t e = k [ A ] [ B ]
  4. DR a t e = k [ A ] 2 [ B ]

Correct answer

D. R a t e = k [ A ] 2 [ B ]

Step-by-step solution

2 A + B → Products According to question : Rate of reaction is proportional to [ B ] as increase in rate is double when [ B ] is doubled. Rate of reaction proportional to [ A ] [ B ] as increase in rate is 8 times when concentration of both reactant is doubled. It means that order of reaction is 3 and overall rate reaction should be r = K [ A ] 2 [ B ]

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