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If the volume of the vessel in which the reaction 2 N O + O 2 → 2 N O 2 is occurring is diminished to 1 / 3 rd of its initial volume. The rate of the reaction will be increased by

Options

  1. A5 times
  2. B8 times
  3. C27 times
  4. D35 times

Correct answer

C. 27 times

Step-by-step solution

For a given reaction 2 N O g + O 2 g ⇌ 2 N O 2 g Rate of reaction = k [ N O ] 2 [ O 2 ] Rate of reaction is directly proportional to concentration of the compound or inversely proportional to the volume of the vessel. i.e., C ∝ n V If volume of vessel is reduced by 1 / 3 rd of its initial value, then concentration of compound is increased by 3 times and consequently the rate of reaction increases by 27 times.

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