A) Estimate the total effective dose in Sv/year for a 65-kg adult. (Sv/year) B)

ID: 1391073 • Letter: A

Question

A) Estimate the total effective dose in Sv/year for a 65-kg adult. (Sv/year)

B) Estimate the total effective dose in rem/year for a 65-kg adult. (rem/year)

C) Compare your result to the normal allowed dose of 100 mrem per year. (times the allowed dose)

D) Estimate the total effective dose in Sv/year for a 8-kg baby. (Sv/year)

E) Estimate the total effective dose in rem/year for a 8-kg baby. (rem/year)

F) Compare your result to the normal allowed dose of 100 mrem per year. (times the allowed dose)

1 ci = 3.7 x 1010 decays/sec

A = activity in 1 L of milk = 2000 pCi = 2000 x 10-12 Ci = 2000 x 10-12 x 3.7 x 1010 decays/sec

A = 74 decays/sec

in 1 decay , energy released = 10% of 1.5 MeV

E = 0.10 x 1.5 x 106 x 1.6 x 10-19 J = 0.24 x 10-13 J /decay

total energy released in 1 L of milk

Etotal = A E = 74 decays/sec x 0.24 x 10-13 J /decay

Etotal = 17.76 x 10-13 J/s-L

energy released for 0.5 L of milk for one year (12 hr each day)

Eyear= (17.76 x 10-13 J/s-L) (amount of milk) (time for half year in second) (since 12 hour = half day)

Eyear= (17.76 x 10-13 J/s-L) (0.5) (365 x 0.5 x 24 x 3600)

Eyear = 1.4 x 10-5 J/year

Total effective dose = QEyear/m

for 40-19K , Q = 1

m = 65 kg

Total effective dose = 1 x (1.4 x 10-5 J/year)/65 = 0.0215 x 10-5 J/kg-yr

total effective dose = 2.15 x 10-7 sv/yr

1 sv =100 rem

total effective dose = 2.15 x 10-7 x 100 rem/yr

total effective dose = 2.15 x 10-5 rem/yr

total effective dose = 0.0215 mrem/yr

allowed total effective dose = 100 mrem/yr

so total effective dose = 0.0215/100 times allowed dose

Total effective dose = QEyear/m

for 40-19K , Q = 1

m = 8 kg

Total effective dose = 1 x (1.4 x 10-5 J/year)/8 = 0.175 x 10-5 J/kg-yr

total effective dose = 1.75 x 10-6 sv/yr

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