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Effect of temperature on reaction rate.

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Problem

Sagar wrote down the expressions for the rate constants for two chemical reactions that he observed simultaneously.
The rate constant for the 1st reaction was,
k1=1012e500/T
and the rate constant for the 2nd reaction was,
k2=1014e2000/T
If he took the same concentration of reactants, at what temperature would Sagar observe the same rate for the two reactions.
Given- log10x=xlog10=x, where x is any number.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
oC.