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JEE Main 202229 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
29 June
Shift
Morning Shift
Subject
Chemistry
Chapter
Chemical Kinetics

JEE Main 2022 · 29 June · Morning Shift · Chemistry · Chemical Kinetics

The activation energy of one of the reactions in a biochemical...

The activation energy of one of the reactions in a biochemical process is 532611Jmol−1532611J{mol}^{- 1}. When the temperature falls from 310K310K to 300K300K, the change in rate constant observed is k300=x×10−3k310°{k}_{300} = x \times {10}^{- 3}{k}_{310 °}. The value of xx is
[Given: ln⁡10=2.3R=8.3JK−1mol−1\ln 10 = 2 . 3R = 8 . 3J{K}^{- 1}{mol}^{- 1}]

Correct answer

0

Step-by-step solution

ln⁡(K2K1)=EaR(1T1−1T2)\ln \left(\dfrac{{K}_{2}}{{K}_{1}}\right) = \dfrac{{E}_{a}}{R}\left(\dfrac{1}{{T}_{1}} - \dfrac{1}{{T}_{2}}\right)

ln⁡(K2K1)=5326118.3×(10310×300)\ln \left(\dfrac{{K}_{2}}{{K}_{1}}\right) = \dfrac{532611}{8 . 3} \times \left(\dfrac{10}{310 \times 300}\right)

where K2{K}_{2} is at 310K and K1310K \text{ and } {K}_{1} is at 300K300K

ln⁡(K2K1)=6.9\ln \left(\dfrac{{K}_{2}}{{K}_{1}}\right) = 6 . 9

=3×ln⁡10= 3 \times \ln 10

lnK2K1=ln103ln\dfrac{{K}_{2}}{{K}_{1}} = ln{10}^{3}

K2=K1×103{K}_{2} = {K}_{1} \times {10}^{3}

K1=K2×103{K}_{1} = {K}_{2} \times {10}^{3}

So

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