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16. ⇒  (MHT CET 2023 9th May Morning Shift )

The rate for reaction A + B product, is 1.8 × 10 2   mol   dm 3   s 1 . Calculate the rate constant if the reaction is second order in A and first order in B . ( [ A ] = 0.2 M ; [ B ] = 0.1 M )

A. 9.0   mol 2   dm 6   s 1

B. 18.0   mol 2   dm 6   s 1

C. 4.5   mol 2   dm 6   s 1

D. 16.0   mol 2   dm 6   s 1

Correct Option is (C)

 Rate  = k [ A ] 2 [   B ] k =  rate  [ A ] 2 [   B ] k = 1.8 × 10 2 mol   dm 3   s 1 ( 0.2   mol   dm 3 ) 2 × 0.1 mol   dm 3 = 4.5   mol 2 dm 6   s 1