The rate constant for the reaction, 2 ~N ₂ O _ 5( ~g ) 2 ~N ₂ O _ 4( ~g ) + O _ 2( ~g ) is 4.98 10⁻⁴ ~s ⁻¹ . What is order of reaction?

Step-by-step solution

The unit of the rate constant k for a reaction of order n is [ concentration ]^ 1-n time ⁻¹ . Given k = 4.98 10⁻⁴ s ⁻¹ , we equate the units: [ concentration ]^ 1-n s ⁻¹ = s ⁻¹ . For dimensional consistency, the concentration term must be dimensionless, requiring 1 - n = 0 . Solving gives n = 1 , indicating the reaction is first-order. The correct option is C.