Chemical BondingHard

Question

The mechanism for the overall reaction is
A2 + B → C
A2 → 2A            (slow)
2A + B → C       (fast)
If a catalyst D changes the mechanism to
A2 + D → A2D        (slow)
A2D → 2A + D        (fast)
2A + B → C             (fast)
Which is the fate expression for the reaction with and without a catalyst ?

Options

A.r = k′[A2][D], r = k[A2]
B.r = k[A2], r = k′[A2][D]
C.r = k′[A2D], r = k[A2][B]
D.r = k[A2][B], r = k′[A2D]

Solution

i. Slow step in the reaction with catalyst is:
A2 + D → A2D   (Slow)
Hence, r = k′[A2][D]
ii. Slow step in the reaction without catalyst is:
A2 → 2A    (Slow)
Hence, r = [A2]

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