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AIIMS 2012
Exam
AIIMS
Year
2012
Subject
Chemistry
Chapter
Chemical Kinetics

AIIMS 2012 · Chemistry · Chemical Kinetics

For a reaction, r=k(CH_3 COCH_3)^ 3 / 2 then unit of rate of...

For a reaction, r=k(CH3COCH3)3/2r=k\left(\mathrm{CH}_3 \mathrm{COCH}_3\right)^{3 / 2} then unit of rate of reaction and rate constant respectively is

Options

  1. AmolL−1 s−1, mol−1/2 L1/2 s−1\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}, \mathrm{~mol}^{-1 / 2} \mathrm{~L}^{1 / 2} \mathrm{~s}^{-1}
  2. Bmol−1 L−1 s−1, mol−1/2 L−1/2 s−1\mathrm{mol}^{-1} \mathrm{~L}^{-1} \mathrm{~s}^{-1}, \mathrm{~mol}^{-1 / 2} \mathrm{~L}^{-1 / 2} \mathrm{~s}^{-1}
  3. CmolL−1 s−1, mol+1/2 L1/2 s−1\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}, \mathrm{~mol}^{+1 / 2} \mathrm{~L}^{1 / 2} \mathrm{~s}^{-1}
  4. DmolLs,mol+1/2 L1/2 s\mathrm{mol} \mathrm{L} \mathrm{s}, \mathrm{mol}^{+1 / 2} \mathrm{~L}^{1 / 2} \mathrm{~s}

Correct answer

A. molL−1 s−1, mol−1/2 L1/2 s−1\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}, \mathrm{~mol}^{-1 / 2} \mathrm{~L}^{1 / 2} \mathrm{~s}^{-1}

Step-by-step solution

 : Rate = concentration  time =molL−1 s=molL−1 s−1\begin{aligned} \text{ : Rate } & =\frac{\text{ concentration }}{\text{ time }}=\frac{\mathrm{mol} \mathrm{L}^{-1}}{\mathrm{~s}} \\ = & \mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1} \end{aligned}: Rate = concentration  time =molL−1 s=molL−1 s−1\begin{aligned} : \text{ Rate } & =\frac{\text{ concentration }}{\text{ time }}=\frac{\mathrm{mol} \mathrm{L}^{-1}}{\mathrm{~s}} \\ & =\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1} \end{aligned}TheunitsofrateconstantforthereactionoftheThe units of rate constant for the reaction of then^{\text{th }}orderorder=\left(\mathrm{mol} \mathrm{L}^{-1}\right)^{1-n} \mathrm{~s}^{-1}here,here,=\frac{3}{2}\thereforeUnitofrateconstantUnit of rate constant=\left(\mathrm{mol} \mathrm{L}^{-1}\right)^{1-3 / 2} \mathrm{~s}^{-1}=\left(\mathrm{mol} \mathrm{L}^{-1}\right)^{-1 / 2} \mathrm{~s}^{-1} =\mathrm{mol}^{-1 / 2} \mathrm{~L}^{1 / 2} \mathrm{~s}^{-1}$
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