The unit of rate constant obeying the rate expression $r = K [A]^{1} [B]^{2 / 3}$ is:

m o l e^{- 2 / 3} l i t^{2 / 3} t i m e^{- 1}

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m o l e^{2 / 3} l i t^{- 2 / 3} t i m e^{- 1}

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m o l e^{- 5 / 3} l i t^{2 / 3} t i m e^{- 1}

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none of the above

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Solution

The correct option is A $m o l e^{- 2 / 3} l i t^{2 / 3} t i m e^{- 1}$
$r = K [A] [B]^{2 / 3}$

$K = \frac{r}{[A] [B]^{2 / 3}}$

$K = \frac{m o l}{l i t e r . s e c}$ $(\frac{l i t e r}{m o l e}) {(\frac{l i t e r}{m o l e})}^{2 / 3}$

$K = m o l e^{- 2 / 3} l i t e r^{2 / 3} s e c^{- 1}$

Option A is correct.

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Similar questions

r = k [A] {[B]}^{2 / 3}

What is the order of a reaction which has a rate expression
rate = k [A]^3/2[B]^-1

t_{1 / 2} = \frac{1}{k . a}

a

k

t_{1 / 2}

k [A]^{1} [{B]}^{1 / 2}

k {[A]}^{1 / 2} {[B]}^{3 / 2}

k {[A]}^{3 / 2} {[B]}^{- 1}

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