## anonymous one year ago a 50 gram sample of a substance that's used to treat thyroid disorders has a ka-value of 0.1133. Find the substances half-life, in days. Round your answer to the nearest tenth.

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1. IrishBoy123

$$\large N(t) = N_o \ e^{-k \ t}$$ $$\large N(t_{half}) = \frac{1}{2}N_o = N_o \ e^{-k \ t _{half}}$$ $$\large ln(\frac{1}{2}) = - k \ \ t _{half}$$ $$\large t_{half} = \frac{ln(\frac{1}{2})}{-k} = \frac{ln(2)}{k}$$