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Question: Answered & Verified by Expert
The rate of a reaction A doubles on increasing the temperature from 300 to 310 K. By how much, the temperature of reaction B should be increased from 300 K so that rate doubles if activation energy of the reaction B is twice to that of reaction A.
ChemistryChemical KineticsJEE MainJEE Main 2017 (08 Apr Online)
Options:
  • A 4.92 K
  • B 9.84 K
  • C 19.67 K
  • D 2.45 K
Solution:
1164 Upvotes Verified Answer
The correct answer is: 4.92 K

log 2=EaR1300-1310 .......(i)

log  2=2EaR 1300-1T ......(ii)

2EaR 1300-1T=EaR 1300-1310

1300+1310=2T

     T=300×310610×2

=304.92

Hence, the temperature of reaction B should be increased from 300 K by 304.92300=4.92 K.

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