The half-life of tritium is 12.5 years. Wha | vedclass

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(D) Given: Half-life $( T_{1/2} )$ $= 12.5 	ext{ years}$,Initial mass $( N_0 )$ $= 64 \ mg$,Total time $( t )$ $= 50 	ext{ years}$.We use the formul

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$4$

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(D) Given: Half-life $( T_{1/2} )$ $= 12.5 	ext{ years}$,Initial mass $( N_0 )$ $= 64 \ mg$,Total time $( t )$ $= 50 	ext{ years}$.We use the formula for the number of half-lives passed: $ n = \frac{t}{T_{1/2}} $.$ n = \frac{50}{12.5} = 4 $.The remaining mass $( N )$ is given by the formula: $ N = N_0 	imes (\frac{1}{2})^n $.$ N = 64 	imes (\frac{1}{2})^4 $.$ N = 64 	imes \frac{1}{16} $.$ N = 4 \ mg $.Thus,$ 4 \ mg $ of tritium will remain undecayed after $ 50 	ext{ years} $.

The half-life of tritium is $ 12.5 $ years. What mass of tritium of initial mass $ 64 \ mg $ will remain undecayed after $ 50 $ years (in $mg$)?

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