The mass m (t) remaining after t days from a 40 gram sample of thourium-234 is given by m(t)=40e^(-0.0277t). What is the half-life of thorium-234?

treallt5

treallt5

Answered question

2022-09-05

The mass m (t) remaining after t days from a 40 gram sample of thourium-234 is given by m ( t ) = 40 e 0.0277 t . What is the half-life of thorium-234?

Answer & Explanation

Blaine Day

Blaine Day

Beginner2022-09-06Added 14 answers

1 / 2 = 40 e .0277 t
( 1 / 2 ) / 40 = e .0277 t
1 / 80 = e .0277 t
ln ( 1 / 80 ) = .0277 t
t = ln ( 1 / 80 ) / .0277

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