The fraction of collisions with sufficient energy to react is equal to

Question

Quizplus · Accepted Answer

The fraction of collisions with sufficient energy to react is given by the Arrhenius equation: f = e^(-Ea/RT), where Ea is the activation energy, R is the gas constant, and T is the temperature. This equation can be rearranged to give f = e^(ln(e) - (Ea/RT)), which simplifies to f = e^((ln(e)/RT) - (Ea/RT)). Substituting the definitions of ln(e) and the ideal gas law (pV = nRT) gives f = (p/p0) * e^(-Ea/RT), where p0 and p are the pressures of the reactants before and after collision, respectively. Therefore, the correct choice is C, which represents the fraction of collisions with sufficient energy as a function of temperature, pressure, and activation energy.

The Fraction of Collisions with Sufficient Energy to React Is