Your lab has been given a radioactive sample and you determine that the decay constant is $3\mathrm{.}80{10}^{-6}{s}^{-1}$ and that the activity at that time is $44\mathrm{.}0Ci.$ You are then asked to determine the number of nuclei that will decay in the time interval between $5\mathrm{.}00$ and $7\mathrm{.}00$ hours after you received the sample.

Can you write an expression for the number of nuclei at any time in terms of the number of nuclei at the time $t=0,$ the decay constant and the time? How can you use this expression to determine the number of nuclei that decay during the time interval of interest? How are the activity, decay constant and number of nuclei related? nuclei

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