Q the half line of a radioactive isotope is 1.5 hrs. The mass of it that remains undecayed after 6 hours if the initial mass of spectrum of the isotope of 32g is

Asked by vikasg13.hardware | 15th Nov, 2017, 01:36: PM

Expert Answer:

Given: 
half-life (T) = 1.5 hrs
initial mass of the isotope (A0) = 32 gms
Time = 6 hrs
Find: final mass of isotope ?
 
F o r m u l a colon space A over A subscript 0 space equals space space open parentheses 1 half close parentheses to the power of t over T end exponent space space space space space
space space therefore space A space equals A subscript 0 space end subscript open parentheses 1 half close parentheses to the power of t over T end exponent space space space space space
space space therefore space A space equals space 32 open parentheses 1 half close parentheses to the power of fraction numerator 6 over denominator 1.5 end fraction end exponent
space space space space space space space A space equals 32 space open parentheses 1 half close parentheses to the power of 4 space space space
space space space space space space space A space equals space 32 space open parentheses 1 over 16 close parentheses
space space space space space space space A space equals space 2
the mass of that remains undecayed after 6 hours willbe 2 gms

Answered by Ramandeep | 15th Nov, 2017, 02:50: PM