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Question: Answered & Verified by Expert
In the following graph.

The slope of line $A B$ gives the information of the
ChemistryChemical KineticsJIPMERJIPMER 2017
Options:
  • A value of $\frac{E_a}{2.303}$
  • B value of $\frac{2.303}{E_a}$
  • C value of $-\frac{E_a}{2.303 R}$
  • D value of $-\frac{E_a}{2.303 R T}$
Solution:
2761 Upvotes Verified Answer
The correct answer is: value of $-\frac{E_a}{2.303 R}$
$\because \operatorname{In} K=\ln A-\frac{E_a}{R T}$
$\operatorname{In} K=\operatorname{In} A-\frac{E_a}{R} \cdot \frac{1}{T}$
Thus, $\log _{10} K=\log A-\frac{E_a}{2.303 R T}$
$\log K=\log A-\frac{E_a}{2.303} \cdot \frac{1}{T}$

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