please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please
Объяснение:
N = N_o * e^ -kt (1)
N_1/2 = N_o * e^ -kt_1/2 (2)
где N- количество оставшизся ядер, N_0 - количество ядер в начале, k - константа распада, t_1/2 -период полураспада
если распалось 0,796 ядер, то осталось 1-0,796= 0,204
Из (1):
0,204N_o = N_0 * e^-kt
0,204= e^-kt
Извлекаем натуральный логарифм:
ln(0,204) = -kt
k = - ln(0,204)/t = 1,59864/858с = 0,00185272 с^-1
Из (2):
0,5N_o= N_0 * e^-kt_1/2
0,5=e^-kt_1/2
ln(0,5) = -kt_1/2
t_1/2= -ln(0,5)/ k = 374,12409 с = 6,2354 мин
please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please
Объяснение:
N = N_o * e^ -kt (1)
N_1/2 = N_o * e^ -kt_1/2 (2)
где N- количество оставшизся ядер, N_0 - количество ядер в начале, k - константа распада, t_1/2 -период полураспада
если распалось 0,796 ядер, то осталось 1-0,796= 0,204
Из (1):
0,204N_o = N_0 * e^-kt
0,204= e^-kt
Извлекаем натуральный логарифм:
ln(0,204) = -kt
k = - ln(0,204)/t = 1,59864/858с = 0,00185272 с^-1
Из (2):
0,5N_o= N_0 * e^-kt_1/2
0,5=e^-kt_1/2
Извлекаем натуральный логарифм:
ln(0,5) = -kt_1/2
t_1/2= -ln(0,5)/ k = 374,12409 с = 6,2354 мин