The question asks for the quantitative relationship between Activation Energy ($E$), average absolute temperature ($T_m$), the universal gas constant ($R$), and the Z-value.
The specific quantitative relationship presented in the options is derived from kinetic theories or specific models of reaction rates. The correct formula is:
$E = \frac{2.3 R T_m^2}{Z}$
Where:
This equation indicates that activation energy ($E$) is directly proportional to the square of the average absolute temperature ($T_m^2$) and inversely proportional to the Z-value ($Z$), scaled by the universal gas constant ($R$) and the factor 2.3.