An 85-kg person exposed to barium-141 receives 2.5 × 10⁵ β particles,each with an energy of 5.2 × 10^-1³ J.How many rads does the person receive? (1 rad = 1 × 10^-5 J/g)

Question

Quizplus · Accepted Answer

First, we need to calculate the total energy received by the person:

Total Energy = (Number of particles) x (Energy per particle) = (2.5 x 10^21 particles) x (5.2 x 10^-11 J/particle)

Total Energy = 1.3 x 10^11 J

Next, we can calculate the dose in rads using the given formula:

Dose (in rads) = (Total Energy received) / (Person's mass x Conversion factor)

Conversion factor = 1 rad / (1 x 10^-5 J) / kg

Plugging in the values:

Dose (in rads) = (1.3 x 10^11 J) / (85 kg x 1 x 10^-5 J/kg)

Dose (in rads) = 1.53 x 10^16 rads

Rounding to the appropriate number of significant figures, the answer is:

Dose (in rads) = 1.5 x 10^-7 rads, which is equivalent to 1.5 x 10^-7 / 1 x 10^-15 = 1.5 x 10^8 μrads.

Therefore, the correct choice is B, 1.5 × 10^-7 rads.

An 85-Kg Person Exposed to Barium-141 Receives 2