Question:
Identify unit of rate constant for first order reaction from the following.
Identify unit of rate constant for first order reaction from the following.
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First-order rate constants are independent of concentration units; they only depend on time.
Updated On: May 16, 2026
- mol dm$^{-3}$ s$^{-1}$
- s$^{-1}$
- mol$^{-1}$ dm$^{3}$ s$^{-1}$
- mol dm$^{-3}$
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The Correct Option is B
Solution and Explanation
Step 1: Concept
The rate law for a first-order reaction is Rate $= k[A]^{1}$.
Step 2: Meaning
Rate is measured in mol dm$^{-3}$ s$^{-1}$ and concentration $[A]$ is measured in mol dm$^{-3}$.
Step 3: Analysis
Rearranging the rate law to solve for $k$:
$k = \frac{\text{Rate}}{[A]}$
Unit of $k = \frac{\text{mol dm}^{-3} \text{ s}^{-1}}{\text{mol dm}^{-3}}$
Step 4: Conclusion
The units of concentration cancel out, leaving only s$^{-1}$ (or time$^{-1}$). Final Answer: (B)
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