Q. The time required for 99.9% completion of a first-order reaction is equal to:

प्रथम-क्रम प्रतिक्रिया के 99.9% पूरा होने के लिए आवश्यक समय बराबर है:

t₁/₂

3t₁/₂

6.9t₁/₂

10t₁/₂

Fraction remaining = 0.1% = 0.001
For first order:

\ln \frac{[A]_0}{[A]} = kt

\ln \frac{1}{0.001} = kt = 6.9

Since

t_{1/2} = \frac{0.693}{k} \Rightarrow k = \frac{0.693}{t_{1/2}}

t = \frac{6.9}{k} = 6.9 \times t_{1/2}

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