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¹⁴C decays via a first order process and has a half life of 1,624 years. Freshly cut wood is measured to have a ¹⁴C activity of 15.2 disintegrations per second. If a piece of excavated wood is thought to be 5,865 years old, what will be the ¹⁴C activity of the piece (in disintegrations per second)?