Chemistry What is the relationship between temperature and reaction rate?

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The relationship between temperature and reaction rate can be analyzed using the equation ln(K2/K1) = Ea/R(1/T1 - 1/T2), where K represents the rate constants at temperatures T1 and T2. The activation energy (Ea) is crucial for this calculation, but it is noted that it may not always be provided. A common rule of thumb indicates that increasing the temperature by 10 degrees Celsius can approximately double the reaction rate for many reactions. Understanding this relationship is essential for predicting how temperature changes affect reaction kinetics. Overall, the discussion emphasizes the importance of activation energy in calculating reaction rates at different temperatures.
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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