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NEET 2012
Exam
NEET
Year
2012
Subject
Chemistry
Chapter
Chemical Kinetics

NEET 2012 · Chemistry · Chemical Kinetics

Activation energy (E_a) and rate constants (k_1. and .k_2) of a...

Activation energy (Ea)\left(E_a\right) and rate constants \left(k_1\right. and \left.k_2\right)ofachemicalreactionattwodifferenttemperatures(T1andT2)of a chemical reaction at two different temperatures \left(T_1\right. and \left.T_2\right) are related by

Options

  1. Aln⁡k2k1=−EaR(1T1−1T2)\ln \frac{k_2}{k_1}=-\frac{E_a}{R}\left(\frac{1}{T_1}-\frac{1}{T_2}\right)
  2. Bln⁡k2k1=−EaR(1T2−1T1)\ln \frac{k_2}{k_1}=-\frac{E_a}{R}\left(\frac{1}{T_2}-\frac{1}{T_1}\right)
  3. Cln⁡k2k1=−EaR(1T2+1T1)\ln \frac{k_2}{k_1}=-\frac{E_a}{R}\left(\frac{1}{T_2}+\frac{1}{T_1}\right)
  4. DNone of the above

Correct answer

B. ln⁡k2k1=−EaR(1T2−1T1)\ln \frac{k_2}{k_1}=-\frac{E_a}{R}\left(\frac{1}{T_2}-\frac{1}{T_1}\right)

Step-by-step solution

According to Arrhenius equation, activation energy (Ea)\left(E_a\right) and rate constants \left(k_1\right. and \left.k_2\right) of a chemical reaction at two different temperatures ( T_1 and\left.T_2\right)arerelatedasare related asln⁡k2k1=EaR(1T1−1T2)=−EaR(1T2−1T1)\begin{aligned} \ln \frac{k_2}{k_1} &=\frac{E_a}{R}\left(\frac{1}{T_1}-\frac{1}{T_2}\right) \\ & =-\frac{E_a}{R}\left(\frac{1}{T_2}-\frac{1}{T_1}\right) \end{aligned}$
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