The number concentration CB of species B in a phase of volume V is defined as CB = NB/V, where NB is the number of B molecules in the phase. For the reaction (16.1) in a constant-volume system, the reaction rate rC based on number concentrations is defined as rC ≡ − (1/b) dCB/dt and the number- concentration rate constant kC satisfies
Show that for an nth-order reaction, where NA is the Avogadro constant. [The commonly used units of kC are (cm3)n−1 s−1, which is usually written as (cm3/molecule)n−1 s−1for clarity; of course, “molecule” is not a unit.]
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