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Задать вопрос экспертам

Консультация № 202452

25.03.2022, 19:10

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0 1 1

Образование

Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Активность препарата за время t=1 сутки упала в 10 раз. Для безопасной работы с препаратом необходимо, чтобы его активность была ещё в 100 раз меньше. Какое время T нужно ещё подождать, чтобы безопасно приступить к работе с препаратом?

Обсуждение

давно

Посетитель
226425
1567

25.03.2022, 23:39

общий

26.03.2022, 01:34

это ответ

Здравствуйте, m_lisssaaa
Дано:
t₁=1 сут.
(А₁/А₀)=1/10
(А₂/А₁)=1/100
Найти: t₂
Обозначим:
t[sub]2[/sub] - промежуток времени, который "нужно еще подождать";
Т - период полураспада.
Решение:
Из закона радиоактивного распада
(А₁/А₀)=2^(-t₁/T)
Логарифмируем
lg(А₁/А₀)=lg[2^(-t₁/T)]
lg(0,1)=(-t₁/T)*lg2
-1=(-t₁/T)*0,3
T[$8776$]0,3 сут. - период полураспада.
Далее
(А₂/А₁)=2^(-t₂/T)]
lg(0,01)=(-t₂/T)*lg2
-2=(-t₂/T)*lg2
t₂=2T/lg2 = 2*0,3/0,3
t[sub]2[/sub]= 2 сут.
*******
Удачи

5

Огромное спасибо за помощь!

Об авторе:
С уважением
shvetski

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