Each beta particle has an energy of 2.51 10-14 J, and 7.5% of the radiation is absorbed by the person. Assuming that the absorbed radiation is spread over the person's entire body, calculate the absorbed dose in rads and in grays

i got 3.27e-5 for grays but its wrong

i am also having trouble iwth this one

The atomic masses of barium-137, nitrogen-14, and titanium-48 are 136.905821 amu, 14.003074 amu, and 47.947947 amu, respectively. For each isotope, calculate the nuclear mass, the nuclear binding energy, and the nuclear binding energy per nucleon.

To calculate the absorbed dose in rads and grays, we need to use the given information about the energy of each beta particle and the percentage of radiation absorbed.

The absorbed dose can be calculated using the formula:

Absorbed Dose = Energy of each particle × Percentage absorbed

1 rad is equal to an absorbed dose of 0.01 joules per kilogram (J/kg), and 1 gray is equal to an absorbed dose of 1 J/kg. To convert it to grays, we need to divide the value in rads by 100.

Let's do the calculations step by step:

Energy of each beta particle = 2.51 × 10^(-14) J
Percentage of radiation absorbed = 7.5% = 0.075

Absorbed Dose = (2.51 × 10^(-14) J) × 0.075 = 1.8825 × 10^(-15) J

To convert this to rads:
Absorbed Dose in rads = (1.8825 × 10^(-15) J) / (0.01 J/kg) = 1.8825 × 10^(-13) rad

To convert this to grays:
Absorbed Dose in grays = (1.8825 × 10^(-13) rad) / 100 = 1.8825 × 10^(-15) gray

So, the absorbed dose is approximately 1.8825 × 10^(-13) rad and 1.8825 × 10^(-15) gray.