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Find the unit of the rate constant of a ...

Find the unit of the rate constant of a reaction represented with a rate equation, rate `=k [A]^(1//2) [B]^(3//2)`

A

`mol^(-1) Ls^(-1)`

B

`s^(-1)`

C

`mol L^(-1) s^(-1)`

D

`mol^(-2) L^(2)s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
`because` Rate (r ) =k `["concentration"]^(n)`
`therefore k= ("rate")/(["concentration"]^(n))`
or, `k= (mol [L^(-1)].s^(-1))/([mol L^(-1)]^((1)/(2)).[mol L^(-1)]^((3)/(2)))`
`k= ([mol L^(-1)].s^(-1))/([mol L^(-1)]^(2))`
`k= mol^(-1) L s^(-1)`
`therefore` (a) is the correct answer
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