Please helpme with my homework. How to solve thisproblem? Ch17 #2 (A) , (B) or (

Question

Please helpme with my homework. How to solve thisproblem? Ch17 #2 (A) , (B) or (C) The decay constant for a certain nucleus is r =0.010min-1. At t = 0 a sample contains106 of these nuclei. (A) How many of there nuclei will remain after an houre? (B) What is the total rate of decays, R(t), at t=0? (C) What is R(t), after an hour? Answer are (A)5.49x105atoms (B)10,000min (C) 5.49x103min Please helpme with my homework. How to solve thisproblem? Ch17 #2 (A) , (B) or (C) The decay constant for a certain nucleus is r =0.010min-1. At t = 0 a sample contains106 of these nuclei. (A) How many of there nuclei will remain after an houre? (B) What is the total rate of decays, R(t), at t=0? (C) What is R(t), after an hour? Answer are (A)5.49x105atoms (B)10,000min (C) 5.49x103min

Explanation / Answer

a) The amount of nuclei will remain after an houris               N = Noe-rt                               = (10 6)exp(( 0.010min-1)(60min))                    =5.49x105atoms b) The total rate of decays is                   Ro = rNo                       = (0.01 min-1)(106)                       = 10,000 decays/min b) R(t) = No exp(( 0.010min-1)(60min))             =5.49x103min

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