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If for a first-order reaction, the value of A and \({E}_{a}\) are \(4\times {10}^{13}{s}^{-1}\)and 98.6 kJ \(mo{l}^{-1}\…

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If for a first-order reaction, the value of A and \({E}_{a}\) are \(4\times {10}^{13}{s}^{-1}\)and 98.6 kJ \(mo{l}^{-1}\)respectively, then at what temperature will its half-life be 10 minutes?

a

330 K

b

300 K

c

330.95 K

d

311.15 K

✓ Correct answer: d)

311.15 K

Explanation

Using \(k=\frac{0.693}{600}\)and Arrhenius equation,

\(\ln ⁡k=\ln ⁡A−\frac{{E}_{a}}{RT}\)

Substituting values and solving, we get T ≈ 309 K. Closest answer: (D) 311.15 K.

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