Chemical Kinetics and Nuclear ChemistryHard

Question

For a process A+ B Products, the rate is first order with respect to A and First order with respect to B. When 1.0 mol each of A and B are taken in one litre vessel, the initial rate is 1 × 10-2 mol L-1 S-1. The rate of reaction when 90% of the reactant have been converted into products would be :-

Options

A.1 × 10-2 mol L-1 S-1
B.1 × 10-4 mol L-1 S-1
C.1 × 10-3 mol L-1 S-1
D.1 × 10-5 mol L-1 S-1

Solution

r = K [A]1 [B]1
∴   r1 = K (1)1 (1)1
and r2 = K (0.1)1 (0.1)1
⇒ 
⇒  r2 = 10-2 × 10-2 = 10-4 mol L-1 s-1

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