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JEE Main levelSingle correct optionDifficulty 2 of 3ck013

A reaction of order $3/2$ is studied with concentration in $mol L^{- 1}$ and time in minutes. The unit of its rate constant is

A $L^{3/2} mo l^{- 3/2} mi n^{- 1}$
B $L^{1/2} mo l^{- 1/2} mi n^{- 1}$
C $mo l^{1/2} L^{- 1/2} mi n^{- 1}$
D $L mo l^{- 1} mi n^{- 1}$

Answer: B

The unit of

k

is

(mol L^{- 1} mi n^{- 1}) / (mol L^{- 1})^{3/2}

. This equals

mo l^{1 - 3/2} L^{- 1 + 3/2} mi n^{- 1} = mo l^{- 1/2} L^{1/2} mi n^{- 1}

.

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