Question
The coefficient A in the Arrhenius equation is the frequency factor. What are the units of A for a first-order reaction? Justify your answer mathematically.
Answers
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The units of A in the Arrhenius equation for a first-order reaction are s-1. This can be justified mathematically by noting that the Arrhenius equation for a first-order reaction is:
k = A e^(-Ea/RT)
where k is the rate constant, A is the frequency factor, Ea is the activation energy, R is the gas constant, and T is the temperature.
Since the rate constant has units of s-1, the units of A must also be s-1 in order for the equation to be dimensionally consistent.
k = A e^(-Ea/RT)
where k is the rate constant, A is the frequency factor, Ea is the activation energy, R is the gas constant, and T is the temperature.
Since the rate constant has units of s-1, the units of A must also be s-1 in order for the equation to be dimensionally consistent.