A temperature-sensitive chemical reaction follows the rate equation $r(T) = 100e^{-E_a/RT}$ molecules/second, where $E_a = 50,000$ J/mol is activation energy, $R = 8.314$ J/(mol·K) is the gas constant, and $T$ is absolute temperature in Kelvin. A reactor operates at 300 K. If temperature increases by 10 K, by what factor does the reaction rate increase?