Exponent value in Arrhenius Equation

In summary, the conversation discusses the relationship between the exponent value of e and the rate constant k in the Arrhenius equation. It is noticed that as the exponent value decreases, the rate constant increases, which may seem counter-intuitive. The conversation also mentions the properties of exponents and how changing the exponential factor affects the equation.
  • #1
bravoghost
7
0
This may be a pretty dumb question, but how is it that as the exponent value of e decreases, the rate k increases? This seems counter-intuitive, and when I enter values for e into my calculator and compare them, the higher exponents (e.g. 50 vs. 20) give higher results.
 
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  • #2
The Arrhenius equation is

k = A*e-Ea/RT

where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature (in Kelvin). What are you changing to get the exponential factor to change?

ETA - Also, don't forget the properties of exponents. For the real numbers a and b , where a ≠ 0, one has a-b = 1/ab.

Hopefully it's becoming a bit more clear with those reminders!
 
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1. What is the Arrhenius Equation?

The Arrhenius Equation is a mathematical equation that describes the relationship between the rate of a chemical reaction and its temperature. It was developed by Swedish chemist Svante Arrhenius in the late 19th century.

2. What is the significance of the exponent value in the Arrhenius Equation?

The exponent value, also known as the activation energy, represents the minimum amount of energy required for a chemical reaction to occur. It is an important factor in determining the rate of a reaction.

3. How is the exponent value determined in the Arrhenius Equation?

The exponent value can be determined experimentally by measuring the rate of a reaction at different temperatures and using the Arrhenius Equation to calculate the activation energy.

4. Can the exponent value in the Arrhenius Equation vary for different reactions?

Yes, the exponent value can vary for different reactions as it is dependent on the specific reactants and products involved. It can also vary for the same reaction under different conditions.

5. How does the exponent value affect the rate of a reaction?

A higher exponent value indicates a higher activation energy, which means that more energy is required for the reaction to occur. This results in a slower reaction rate. Conversely, a lower exponent value indicates a lower activation energy and a faster reaction rate.

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