p43_044 - 44. (a) The rate at which Radium-226 is decaying...

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44. (a) The rate at which Radium-226 is decaying is R = λN = µ ln 2 T 1 / 2 ¶µ M m = (ln 2)(1 . 00 mg)(6 . 02 × 10 23 / mol) (1600 y)(3 . 15 × 10 7 s / y)(226 g / mol) =3 . 66 × 10 7 s 1 . (b) Since 1600 y À 3 . 82 d the time required is t À 3 . 82 d. (c) It is decaying at the same rate as it is produced, or R . 66 × 10 7 s 1 . (d) From
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