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Chemical Kinetics

Question
CBSEENCH12011230

The half -life of a substance in a certain enzyme catalysed reaction is 138 s. The time required for the concentration of the substance to fall from 1.28 mg L-1 is 

  • 414 s

  • 552 s 

  • 690 s

  • 276 s

Solution

C.

690 s

Enzyme -catalysed reactions follow first order kinectics.
therefore,
Fall of concentration from 1.28 mg L-1 to 0.04 mg L-1 involves five half - lives.

1.28 space rightwards arrow with straight t subscript 1 divided by 2 end subscript on top space 0.64 space rightwards arrow with straight t subscript 1 divided by 2 end subscript on top space 0.32 space space 0.16 space rightwards arrow with straight t subscript 1 divided by 2 end subscript on top space 0.08 rightwards arrow with straight t subscript 1 divided by 2 end subscript on top space space 0.04

therefore comma

Time space required space space equals space 5 space straight x space straight t subscript 1 divided by 2 end subscript
space space equals space 5 space straight x space 138 space straight s
space equals space 690 space straight s