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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 resulting perfect straight line yields a distinct mathematical slope. What does this slope precisely evaluate to?

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 linearly maps to $y = c + mx$. Since the variable on the x-axis is exactly $1/T$, the isolated mathematical slope ($m$) is strictly $-E_a / R$.

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