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It depends on if the reaction is zero order, first, or second. The zero order half life equation is [A]o/2k, and depends on the initial amount of the substance you have. For example, it would depend on the initial concentration of mercury you have, and would vary depending on that concentration. For first order reactions, the half life equation is 0.693/k, and is independent of the concentration, so it is the same for that substance regardless of how much you initially have. So, the half life for a first oder reaction of mercury would be the same no matter the initial concentration. For second order reactions, the equation is 1/k[A]o, so it does depend on the initial concentration in the same way as the zero order reaction. Hope this helps!
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