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← JEE Main 2022 · 29 Jun · Shift 1
ChemistryInteger+4 / -1Question 85 of 90

JEE Main 2022 · 29 Jun · Shift 1, Chemistry question 85

The activation energy of one of the reactions in a biochemical process is 532611 J mol−1^{-1}. When the temperature falls from 310 K to 300 K, the change in rate constant observed is k300=x×10−3k310k_{300}=x\times10^{-3}k_{310}. The value of xx is ______.

[Given : ln10 = 2.3; R = 8.3 J K−1^{-1} mol−1^{-1}]

Answer and worked solution

Official answer: 1

Arrhenius. ln⁡k310k300=5326118.3(1300−1310)=6.9=3ln⁡10\ln\dfrac{k_{310}}{k_{300}}=\dfrac{532611}{8.3}\left(\dfrac1{300}-\dfrac1{310}\right)=6.9=3\ln10.

So k300=10−3k310k_{300}=10^{-3}k_{310}, x=1x=1.

Answer: 1