Medium INTEGER +4 / -1 PYQ · JEE Mains 2021

For the reaction A $\to$ B, the rate constant k(in s$-$1) is given by

${\log _{10}}k = 20.35 - {{(2.47 \times {{10}^3})} \over T}$

The energy of activation in kJ mol$-$1 is ____________. (Nearest integer) [Given : R = 8.314 J K$-$1 mol$-$1]

Answer (integer) 47

Solution

Given, <br><br>$\log K = 20.35 - {{2.47 \times {{10}^3}} \over T}$<br><br>We know<br><br>$\log K = \log A - {{{E_a}} \over {2.303RT}}$<br><br>$\Rightarrow {{{E_a}} \over {2.303RT}} = 2.47 \times {10^3}$<br><br>${E_a} = 2.47 \times {10^3} \times 2.303 \times {{8.314} \over {1000}}$ KJ/mole<br><br>= 47.29 = 47 (Nearest integer)

About this question

Subject: Chemistry · Chapter: Chemical Kinetics · Topic: Rate of Reaction

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