Final answer:
To calculate the number of rads absorbed by the person, multiply the number of alpha particles by the energy per particle, and convert the total energy absorbed to rads using the conversion factor.
Step-by-step explanation:
To calculate the number of rads absorbed by a person, we need to find the total energy absorbed by the person and then convert it to rads. Given that each alpha particle deposits 8.00x10^(-13) J and the person is exposed for 1.00 years, we can find the total energy absorbed by multiplying the energy per particle by the total number of particles. First, we need to calculate the total number of alpha particles using the person's mass:
Number of alpha particles = mass of person (kg) / mass of alpha particle (kg)
With the number of particles known, we can calculate the total energy absorbed:
Total energy absorbed = Number of alpha particles × Energy per particle
Finally, we convert the total energy absorbed to rads using the conversion factor 1 rad = 0.010 J/kg:
Number of rads absorbed = Total energy absorbed / (mass of person (kg) × conversion factor (J/kg))