A single, whole-body dose of 450 rem is considered a lethaldose for approximatel

Question

A single, whole-body dose of 450 rem is considered a lethaldose for approximately fifty percent of all individuals receivingsuch a dose. If a 62-kg person were exposed to such a dose ofradiation that has an RBE of 0.845, how much energy has the personabsorbed?

a. 5.3 J
b. 75 J
c. 480 J
d. 330 J
e. 120 J A single, whole-body dose of 450 rem is considered a lethaldose for approximately fifty percent of all individuals receivingsuch a dose. If a 62-kg person were exposed to such a dose ofradiation that has an RBE of 0.845, how much energy has the personabsorbed? 5.3 J 75 J 480 J 330 J 120 J

Explanation / Answer

First, calculate the Absorbed Dose (in rad):

Biologically Equivalent Dose (in rem) = Absorbed Dose (in rad) x RBE (Relative Biological Effectiveness)

450 rem = Absorbed Dose x 0.845

Absorbed Dose = 532.54 rad

Since we are dealing with energy absorbed, convert absorbed dose (in rad) to absorbed dose (in gray)

Since 1 rad = 0.01 gray,

532.54 rad (.01) = 5.33 gray

To find energy absorbed by the person:

Absorbed Dose (in gray) = Energy Absorbed / Mass of Absorbing Material

5.33 gray = Energy Absorbed / 62 kg

Energy Absorbed = 330.46 J

Correct Answer is 330 J.

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