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N O 2 required for a reaction is produced by the decomposition of N 2 O 5 in C C l 4 as per the equation, 2 N 2 O 5 g → 4 N O 2 g + O 2 g . The initial concentration of N 2 O 5 is 3.00 m o l L - 1 and it is 2.75 m o l L - 1 after 30 minutes. The rate of formation of N O 2 is:

Options

  1. A1.667 × 10 - 2 m o l L - 1 m i n - 1
  2. B8.333 × 10 - 3 m o l L - 1 m i n - 1
  3. C4.167 × 10 - 3 m o l L - 1 m i n - 1
  4. D2.083 × 10 - 3 m o l L - 1 m i n - 1

Correct answer

A. 1.667 × 10 - 2 m o l L - 1 m i n - 1

Step-by-step solution

Rate of reaction in terms of rate of disappearance of N 2 O 5 ( s ) - d N 2 O 5 d t = 1 2 d N O 2 d t = 2 d O 2 d t = r a t e   o f   R e a c t i o n - ( - 3 + 1.75 ) 30 = r a t e   o f   r e a c t i o n - - 0.25 30 = 8.3 × 10 - 3 m o l   L - 1 m i n - 1 = 25 3000 = 8.3 × 10 - 3 = 1 2 × rate of formation of O 2 8.3 × 10 - 3 = 1 2 d N O 2 d t 1.66 × 10 - 2 m / m i n   = d [ N O 2 ] d t

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