Read the following industrial methods for the preparartion of `H_(2)SO_(4)` and answer the question at the end.
Professor Molina of the Massachusetts Institute of Technology won the 1995 Noble prize in Chemistry for his work on atmospheric chemistry . One reaction that he studied in detail is the acid rain reaction which produces `H_(2)SO_(4)` in the atmosphere. He proposed two possible stoicchiometric reactions:
Proposal A:
`H_(2)O(g) +SO_(3)(g) rarr H_(2)SO_(4)(g)`
Proposal B:
`2H_(2)O(g) +SO_(3)(g) rarr H_(2)SO_(4)(g) +H_(2)O(g)`
Using the simple collision theory, what reaction orders would be expected for proposal B?
Proposal B is thought to proceed by the following two-step process:
`SO_(3)+2H_(2)Ounderset(k_(-1))overset(k_(1))hArr SO_(3).2H_(2)O" "`(Fast)
`SO_(3).2H_(2)O overset(k_(2))rarr H_(2)SO_(4)+H_(2)O " "` (slow)
(`SO_(3).2H_(2)O` is a complex which is stabilized by hydrogen bonds and `k_(2) lt lt k_(1) or k_(-1)`)

Options

A. `k[H_(2)O][SO_(3)]`
B. `k[H_(2)O]^(2)[SO_(3)]`
C. `k[SO_(3)]`
D. `k[H_(2)O]`

Answer

B