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Chemical Kinetics

Question
CBSEENCH12010800

For a reaction 1/2A →2B, rate of disappearance of ‘A’ is related to the rate of appearance of ‘B’ by the expression

  • negative fraction numerator straight d left square bracket straight A right square bracket over denominator dt end fraction space equals space 1 half fraction numerator straight d left square bracket straight B right square bracket over denominator dt end fraction
  • negative fraction numerator straight d left square bracket straight A right square bracket over denominator dt end fraction space equals space 1 fourth fraction numerator straight d left square bracket straight B right square bracket over denominator dt end fraction
  • negative fraction numerator straight d left square bracket straight A right square bracket over denominator dt end fraction space equals space fraction numerator straight d left square bracket straight B right square bracket over denominator dt end fraction
  • negative fraction numerator straight d left square bracket straight A right square bracket over denominator dt end fraction space equals space 4 fraction numerator straight d left square bracket straight B right square bracket over denominator dt end fraction

Solution

B.

negative fraction numerator straight d left square bracket straight A right square bracket over denominator dt end fraction space equals space 1 fourth fraction numerator straight d left square bracket straight B right square bracket over denominator dt end fraction 1 half space straight A space space rightwards arrow for space space space space space space of space 2 straight B
fraction numerator negative 2 straight d space left square bracket straight A right square bracket over denominator dt end fraction space equals space plus space fraction numerator straight d left square bracket straight B right square bracket over denominator 2 dt end fraction
fraction numerator negative straight d left square bracket straight A right square bracket over denominator dt end fraction space equals space 1 fourth space fraction numerator straight d left square bracket straight B right square bracket over denominator dt end fraction