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JEE Mains · Chemistry · STD 12 - 3. Chemical kinetics

For a reaction of order \(\mathrm{n}\), the unit of the rate constant is :

  1. A \(\mathrm{mol}^{1-\mathrm{n}} \mathrm{L}^{1-\mathrm{n}} \mathrm{s}^{-1}\)
  2. B \(\mathrm{mol}^{1-\mathrm{n}} \mathrm{L}^{\mathrm{n}-1} \mathrm{~s}^{-1}\)
  3. C \(\mathrm{mol}^{1-\mathrm{n}} \mathrm{L}^{1-\mathrm{n}} \mathrm{s}\)
  4. D \(\mathrm{mol}^{1-\mathrm{n}} \mathrm{L}^{2 \mathrm{n}} \mathrm{s}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\mathrm{mol}^{1-\mathrm{n}} \mathrm{L}^{\mathrm{n}-1} \mathrm{~s}^{-1}\)

Step-by-step Solution

Detailed explanation

Rate \(=\mathrm{k}[\mathrm{A}]^{\mathrm{n}}\) comparing units \((\mathrm{mol} / \ell)\) \({\mathrm{sec}}=\mathrm{k}\left(\frac{\mathrm{mol}}{\ell}\right)^{\mathrm{n}}\) \(\Rightarrow \mathrm{k}=\mathrm{mol}^{(1-\mathrm{n})} \ell^{(\mathrm{n}-1)} \mathrm{s}^{-1}\)
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