Q69 / 160 · JIPMER 2004 · Chemistry

For a reaction, the half-life is independent of initial concentration. What is the order of that reaction?

  • A
    Zero
  • Correct answer
    B
    One
  • C
    Two
  • D
    Three

Solution

For an $n^{\text {th }}$ order reaction, $t_{1 / 2} \propto \frac{1}{C^{n-1}} \quad(C=\text { initial conc. })$ Hence, for Ist order reaction $(n=1)$, we have $t_{1 / 2} \propto \frac{1}{C^{1-1}}$ $\therefore \quad t_{1 / 2} \propto C^0$ Thus half life of Ist order reaction is independent of the initial concentration of reactant.

Hence, the correct answer is option: 'B'.

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