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HELP FAST PLEASE??!!!! An isotope of Chlorine has a half life of 55.5 minutes. If we start with 45 kilograms of this isotope, How much will remain after 3.7 hours?

Respuesta :

 The  amount   that will remain after 3.7  hours  for isotope  chlorine that has a half  life   of 55.5  minutes  is 2.813  kg


 Explanation

Half  life  is the  time required for the  radio activity  of  a specified isotope  to  fall  to  a  half its  original value.

convert 3.7  hrs  into  minutes

= 3.7  x 60 = 222 minute

 find the number of half life  that chlorine  isotope undergo   in  222  minutes

=222  minutes /  55.5   minutes = 4  half life


therefore   45 kg after first half life  =45 kg /2=22 .5 kg

                  22.5  kg after second  half life =  22.5/2 =11.25  kg

                 11.25  kg after third half life  = 11.25/2 = 5.625 kg

                5.625  kg  after  fourth  half life =  5.625/2 = 2.813 kg