JEE Main · 2019 · Shift-IeasyCK-010

For a reaction of order n, the unit of the rate constant is:

Chemical Kinetics · Class 12 · JEE Main Previous Year Question

Question

For a reaction of order $n$ , the unit of the rate constant is:

Options

a
$\mathrm{mol^{1-n}\,L^{1-n}\,s}$
b
$\mathrm{mol^{1-n}\,L^{2n}\,s^{-1}}$
c
$\mathrm{mol^{1-n}\,L^{n-1}\,s^{-1}}$
✓
d
$\mathrm{mol^{1-n}\,L^{1-n}\,s^{-1}}$

Correct Answerc

$\mathrm{mol^{1-n}\,L^{n-1}\,s^{-1}}$

Detailed Solution

For an $n$ th order reaction: $\text{rate} = k[\mathrm{A}]^n$

$[k] = \frac{\text{rate}}{[\mathrm{A}]^n} = \frac{\mathrm{mol\,L^{-1}\,s^{-1}}}{(\mathrm{mol\,L^{-1}})^n} = \frac{\mathrm{mol\,L^{-1}\,s^{-1}}}{\mathrm{mol^n\,L^{-n}}}$

$= \mathrm{mol^{1-n}\,L^{n-1}\,s^{-1}}$

Answer: Option (3)

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