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Use absolute thermodynamic temperatures and assume a constant-parameter Arrhenius equation, with composition held fixed so that reaction rate is proportional to the rate constant. Write $R(T)=A{e}^{-\beta /T}$, where $\beta =E_a/\mathcal{R}$. two-temperature Arrhenius extrapolation eliminates the unknown Arrhenius prefactor and givesConsequentlyA tenfold increase for one $20\mathrm{K}$ interval does not imply another tenfold increase for the next interval: the Arrhenius plot is linear in inverse temperature. Two measured rates alone do not specify a unique extrapolation without a rate law for its temperature dependence; the result above states that modelling assumption explicitly.