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When creating an Arrhenius graphical plot of the natural logarithm of the rate constant () versus thChemical Kinetics Chemistry Question

Question

When creating an Arrhenius graphical plot of the natural logarithm of the rate constant ($\ln k$) versus the inverse of absolute temperature ($1/T$), the line has a specific slope. What is the value of this slope?

Answer: C

💡 Solution & Explanation

Expanding the Arrhenius equation with natural logs yields $\ln k = \ln A - \frac{E_a}{R} \cdot \frac{1}{T}$. This maps to the linear equation $y = c + mx$. Since the x-axis is $1/T$, the isolated mathematical slope ($m$) is strictly $-E_a / R$.

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