Calculate the radiation dosage in rads for an 59kg person th

Calculate the radiation dosage (in rads) for an 59-kg person that is exposed for 5.0 seconds to a 3.0 Ci source of beta radiation. Assume that 100% of the radiation is absorbed and each beta particle has an energy of 1.4× 10–13 J.

ANSWER in rad please

Solution

Energy absorbed E = 3.0 Ci x 3.7x10^10 decays /sec x 5 sec = 5.55 x10¹¹ decays

Absorbed dose D = 5.55 x10¹¹ decays x 1.4× 10^–13 J

                               = 0.0777 J

The unit of absorbed dose is the gray (Gy) where one gray is one joule per kilogram (J kg-1).

Therefore,

radiation dosage = 0.0777 J / 59 kg = 1.13 x 10^-3 gray