Question

The dimensions of the rate constant for \( n^{th} \) order homogeneous reaction are

• A. (time)\(^n\)
• B. (time)\(^{-n}\)(concentration)\(^{n-1}\)
• C. (time)\(^{-1}\)(concentration)\(^{1-n}\)
• D. (time)(concentration)\(^{-1}\)

Hint:

Use dimensional analysis: Rate always has unit of concentration/time.

Answer 1

The Correct Option is C

For \( n \)-th order: rate = \( k [A]^n \Rightarrow [k] = \frac{[rate]}{[A]^n} = \text{(concentration)}^{1-n}/\text{time} \)