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JEE Main 202127 JulyMorning Shift
Exam
JEE Main
Year
2021
Date
27 July
Shift
Morning Shift
Subject
Chemistry
Chapter
Chemical Kinetics

JEE Main 2021 · 27 July · Morning Shift · Chemistry · Chemical Kinetics

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

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

Options

  1. Amol1−nL1−ns{mol}^{1 - n}{L}^{1 - n}s
  2. Bmol1−nL2ns−1{mol}^{1 - n}{L}^{2n}{s}^{- 1}
  3. Cmol1−nLn−1s−1{mol}^{1 - n}{L}^{n - 1}{s}^{- 1}
  4. Dmol1−nL1−ns−1{mol}^{1 - n}{L}^{1 - n}{s}^{- 1}

Correct answer

C. mol1−nLn−1s−1{mol}^{1 - n}{L}^{n - 1}{s}^{- 1}

Step-by-step solution

Rate =k[A]n= k [ A{]}^{n}
comparing units
(mol/ℓ)sec⁡=k(molℓ)n\dfrac{( mol / ℓ )}\sec = k{\left(\dfrac{mol}{ℓ}\right)}^{n}
⇒k=mol(1−n)ℓ(n−1)s−1⇒ k = {mol}^{( 1 - n )}{ℓ}^{( n - 1 )}{s}^{- 1}
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