I have two isotopes A and A' of an element with half-lives Tì/2 and Ti/2 respectively. (a) Show that with time, the amount of A' relative to A is NA: (t) f (t) = NA (t) 1 = f (0) exp In (2) T (b) The half-lives of 23$U and 235U are 4.5 billion years and 700 million years, respectively. Natural uranium is currently about 97.3% 23$U and 0.7% 235U . Based on the formula in (a), how long ago would you have been able to build an atomic bomb out of natural uranium ore, given that "weapons grade" uranium is at least 80% 235 U? [MY]
I have two isotopes A and A' of an element with half-lives Tì/2 and Ti/2 respectively. (a) Show that with time, the amount of A' relative to A is NA: (t) f (t) = NA (t) 1 = f (0) exp In (2) T (b) The half-lives of 23$U and 235U are 4.5 billion years and 700 million years, respectively. Natural uranium is currently about 97.3% 23$U and 0.7% 235U . Based on the formula in (a), how long ago would you have been able to build an atomic bomb out of natural uranium ore, given that "weapons grade" uranium is at least 80% 235 U? [MY]
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![4. I have two isotopes A and A' of an element with half-lives T1/2 and Ti/2 respectively.
(a) Show that with time, the amount of A' relative to A is
NA: (t)
f (t) =
NA (t)
= f (0) exp
(2)
T'
(b) The half-lives of 238U and 235U are 4.5 billion years and 700 million years, respectively.
Natural uranium is currently about 97.3% 238U and 0.7% 235U . Based on the formula
in (a), how long ago would you have been able to build an atomic bomb out of natural
uranium ore, given that "weapons grade" uranium is at least 80% 235U? [MY]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F831851de-f673-41f5-9f36-80ab878b6fd6%2Fd93be3d9-db17-4540-a949-afa89c20dc42%2F3fmr11a_processed.png&w=3840&q=75)
Transcribed Image Text:4. I have two isotopes A and A' of an element with half-lives T1/2 and Ti/2 respectively.
(a) Show that with time, the amount of A' relative to A is
NA: (t)
f (t) =
NA (t)
= f (0) exp
(2)
T'
(b) The half-lives of 238U and 235U are 4.5 billion years and 700 million years, respectively.
Natural uranium is currently about 97.3% 238U and 0.7% 235U . Based on the formula
in (a), how long ago would you have been able to build an atomic bomb out of natural
uranium ore, given that "weapons grade" uranium is at least 80% 235U? [MY]
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