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For a reaction , r=k(CH(3)COCH(3))^(3//2...

For a reaction , `r=k(CH_(3)COCH_(3))^(3//2)` , then unit of rate of reaction and rate constant respectively is -

A

`"mol.L"^(-1).s^(-1), "mol"^(-1//2).L^(1//2).s^(-1)`

B

`"mol"^(-1).L^(-1).s^(-1), "mol"^(-1//2).L^(-1//2).s^(-1)`

C

`"mol"^(1).L^(-1).s^(-1), "mol"^(1//2).L^(1//2).s^(-1)`

D

`mol.L.s, "mol"^(1//2).L^(1//2).s`

Text Solution

Verified by Experts

The correct Answer is:
A
Rate = `("concentration")/("time")`
The unit of rate constant for the `n^(th)` order reaction is `("mol.L"^(-1))^(1-n).s^(-1)`
Here , `n=(3)/(2)`
`therefore` Unit of rate constant `=("mol.L"^(-1))^(1-3//2).s^(-1)`
`" "= ("mol.L"^(-1))^(-1//2).s^(-1)`
`" ="mol"^(-1//2).L^(1//2).s^(-1) `
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