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NEET 2008
Exam
NEET
Year
2008
Subject
Chemistry
Chapter
Chemical Kinetics

NEET 2008 · Chemistry · Chemical Kinetics

The rate constants k_1 and k_2 for two different reactions are 10^...

The rate constants k1\mathrm{k}_1 and k2\mathrm{k}_2 for two different reactions are 1016⋅e−2000/T10^{16} \cdot \mathrm{e}^{-2000 / T} and 1015⋅e−1000/T10^{15} \cdot \mathrm{e}^{-1000 / T} respectively. The temperature at which k1=k2\mathrm{k}_1=\mathrm{k}_2 is

Options

  1. A10002.303 K\frac{1000}{2.303} \mathrm{~K}
  2. B1000 K1000 \mathrm{~K}
  3. C20002.303 K\frac{2000}{2.303} \mathrm{~K}
  4. D2000 K2000 \mathrm{~K}

Correct answer

A. 10002.303 K\frac{1000}{2.303} \mathrm{~K}

Step-by-step solution

K_1=10^{16} \mathrme^{-2000T\frac{2000}{T}} or log⁡K1=16−20002.303 T\log \mathrm{K}_1=16-\frac{2000}{2.303 \mathrm{~T}} K_2=10^{15} e^{1000T\frac{1000}{T}} or log⁡K2=15−10002.303 T\log K_2=15-\frac{1000}{2.303 \mathrm{~T}} If T=10002.303 K\mathrm{T}=\frac{1000}{2.303} \mathrm{~K}, then K1=K2\mathrm{K}_1=\mathrm{K}_2
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