What is the relationship between temperature and reaction rate?

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SUMMARY

The relationship between temperature and reaction rate is quantitatively described by the Arrhenius equation, specifically ln(K2/K1) = Ea/R(1/T1 - 1/T2). In this discussion, the user is attempting to calculate the rate constant ratio K2/K1 using given temperatures T1 and T2, but lacks the activation energy (Ea). A common rule of thumb indicates that for many reactions, increasing the temperature by 10 degrees Celsius approximately doubles the reaction rate.

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  • Understanding of the Arrhenius equation
  • Knowledge of activation energy (Ea)
  • Familiarity with temperature scales (Celsius, Kelvin)
  • Basic concepts of chemical kinetics
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i_love_science
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Homework Statement
In general, if the temperature of a reaction is raised from 300 K to 320 K, the reaction rate will increase by a factor of approximately
A) 320 K/300 K
B) 22°C/2°C
C) 4
D) 2
Relevant Equations
Arrhenius equation
I think I should use ln(K2/K1)=Ea/R(1/T1 - 1/T2), and find K2/K1. I am given T1 and T2, but not Ea. I'm not sure how to continue.
Thanks.

(note: the answer is C)
 
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That's only a rule of thumb, but for many reactions Ea is such that increasing temperature by 10 deg increases the rate about twice.
 
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