In the Arrhenius equation, k = A * e^(-Ea / RT), what does the slope of a linear plot of ln k versus 1/T represent?
Answer and explanation
Correct answer: A. -Ea / R
- Step 1: Taking the natural logarithm of both sides of the Arrhenius equation: .
- Step 2: Rearranging into the standard linear equation form (): .
- Step 3: In a plot where and , the slope () is equal to , and the y-intercept () is .
- Step 4: (If plotted using vs , the slope would be ).
Answer
-Ea / R
Why not the others: '-Ea / (2.303 R)' is the slope when plotting common logarithm versus , not ; '+Ea / R' has the wrong positive sign; 'ln A' is the y-intercept, not the slope.
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