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Chemical Kinetics

Question
CBSEENCH12011235

The rate of reaction 2N2O3 → 4 NO2 + O2 can be written in three ways

fraction numerator negative straight d left square bracket straight N subscript 2 straight O subscript 5 right square bracket over denominator dt end fraction space equals space straight k space left square bracket straight N subscript 2 straight O subscript 5 right square bracket

fraction numerator straight d left square bracket NO subscript 2 superscript 7 right square bracket over denominator dt end fraction space equals space k apostrophe left square bracket N subscript 2 O subscript 5 right square bracket

fraction numerator straight d left square bracket straight O subscript 2 right square bracket over denominator dt end fraction space equals space straight k apostrophe apostrophe space left square bracket straight N subscript 2 straight O subscript 5 right square bracket

The relationship between k and k' and between k and k'' are 

  • k' = 2k ; k' = k

  • k' = 2k; k" = k/2

  • k' = 2k; k' = 2k

  • k' = k; k' = k

Solution

B.

k' = 2k; k" = k/2

Rate space equals space minus 1 half fraction numerator straight d left square bracket straight N subscript 2 straight O subscript 5 right square bracket over denominator dt end fraction space equals space 1 fourth fraction numerator straight d left square bracket NO subscript 2 right square bracket over denominator dt end fraction space equals space fraction numerator straight d left square bracket straight O subscript 2 right square bracket over denominator dt end fraction

rightwards double arrow space 1 half straight k left square bracket straight N subscript 2 straight O subscript 5 right square bracket space equals space 1 fourth straight k apostrophe left square bracket straight N subscript 2 straight O subscript 5 right square bracket space equals space straight k " space left square bracket straight N subscript 2 straight O subscript 5 right square bracket

rightwards double arrow space straight k over 2 space equals space fraction numerator straight k apostrophe over denominator 2 end fraction space equals space straight k "

straight k apostrophe space equals space 2 space straight k semicolon space straight k " space equals space straight k over 2