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The rate constant of a reaction is measured at different temperatures. A plot of

ID: 539570 • Letter: T

Question

The rate constant of a reaction is measured at different temperatures. A plot of the natural log of the rate constant as a function of the inverse of the temperature (in Kelvin) yields a straight line with a slope of 8.70×103 K1 .

What is the activation energy (Ea) for the reaction?

I'm nearly positive that the asnwer is 0.15M, but I'd like to check before submitting.

Show work please.

Question 25 Part A The rate constant of a reaction is measured at different temperatures. A plot of the natural log of the rate constant as a function of the inverse of the temperature (in Kelvin) yields a straight line with a slope of -8.70x103 K-1 What is the activation energy (Ea) for the reaction? -7.2x104 kJ 7.2x104 kJ 72 kJ -72 kJ Submit My Answers Give Up

Explanation / Answer

The relation between K and T is:

K = A*e^(-Ea/RT)

taking ln on both sides, above expression becomes,

ln K = ln A - Ea/RT

So, slope between ln K and 1/T will have a value of -Ea/R

Here slope = -8.70*10^3 K-1

So,

-Ea/R = -8.70*10^3

-Ea/8.314 = -8.70*10^3

Ea = 72332 J

Ea = 72 KJ

Answer: 72 KJ

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