Read the following industrial methods for the preparation of H2SO4 and answer the question at the en

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Read the following industrial methods for the preparation of H₂SO₄ and answer the question at the end. Professor Molina of the Massachusetts Institute of Technology won the 1995 Nobel Prize in Chemistry for his work on atmospheric chemistry. One reaction that he has studied in detail is the acid rain reaction which produces H₂SO₄ in the atmosphere. He has proposed two possible stoichiometric reactions :
    Proposal A : H₂O (g) + SO₃(g) → H₂SO₄(g)
    Proposal B : 2 H₂O (g) + SO₃(g) → H₂SO₄ (g) + H₂O (g)
Using simple collision theory, what reaction orders would be expected for proposal B ?
Proposal B is thought to proceed by the following two-step process :
SO₃ + 2 H₂O SO₃.2 H₂O (fast)
SO₃.2 H₂O H₂SO₄ + H₂O (slow)
(SO₃.2 H₂O is a complex which is stabilized by hydrogen bonds and k₂ << k₁ or k_-1).

Accepted Answer

Rate determining step is slow stepThen Rate = k2 [SO3 . 2 H2O] .....(i)We know by fast equation[SO3. 2 H2O] = [SO3] [H2O]2 ....(ii)put the value of [SO3 . 2 H2O] from (ii) to (i)Rate = k2 &#215; [SO3 ] [ H2O]2Rate = k [H2O]2 [SO3]

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