text: This quantity multiplies residence time in the Damköhler number, and is divided by the diffusivity in the Thiele modulus.
full_question: This quantity multiplies residence time in the Damköhler number, and is divided by the diffusivity in the Thiele modulus. The exponential of one-half, times the square root of eight times Boltzmann's constant over pi, appears in a classical derivation for this quantity. The kinetic isotope effect is a ratio of these quantities. This quantity has units of molarity to the one minus n, over seconds, where n is the (*) order. The natural logarithm of two, divided by this quantity, equals the half-life. According to collision theory, this quantity equals a pre-exponential factor times e to the negative activation energy, over RT, by the Arrhenius equation. For 10 points, name this constant which measures how quickly a reaction occurs.
first_sentence: This quantity multiplies residence time in the Damköhler number, and is divided by the diffusivity in the Thiele modulus.
raw_answer: reaction rate constant [prompt on reaction rate; prompt on k]