Calculate the effective radiation dosage in Sieverts for a 7

Calculate the effective radiation dosage (in Sieverts) for a 79-kg person who is exposed to 1.3 Times 10^9 particles of alpha radiation. Assume that 89% of the radiation is absorbed, each alpha particle has an energy of 7.9 Times 10^-13 J, and that the RBE of the alpha particles is 15. Note that RBE is sometimes called the quality factor, abbreviated as Q.

Solution

effective radiation dosage = 1.3*10^9*7.9*10^-13*Q)/(mass

= 1.3*10^9*7.9*10^-13*15)/(79 = 0.000195 Sv OR 1.95*10^-4 Sv