A student compares two hypothetical bimolecular gas-phase reactions being evaluated for use in a pollutant sensor. The reactant pairs are at the same temperature and have the same initial concentrations. Each successful collision forms one product molecule. The student obtains the following estimates.

Reaction	Collision frequency, \(Z\) (\(\text{collisions}\,\text{L}^{-1}\text{s}^{-1}\))	Fraction with energy \(\ge E_a\), \(f_E\)	Fraction of energetic collisions with a productive orientation, \(p\)
\(1\)	\(2.0\times10^{12}\)	\(1.0\times10^{-4}\)	\(1.0\times10^{-2}\)
\(2\)	\(2.0\times10^{10}\)	\(1.0\times10^{-2}\)	\(1.0\times10^{-1}\)

Which choice correctly compares the initial rates of product formation and explains the comparison?