The radioactive 60co isotope is used in nuclear medicine to treat certain types of cancer. calculate the wavelength and frequency of an emitted gamma particle having the energy of 1.29 × 1011 j/mol. enter your answer in scientific notation.

1. Frequency:

The energy given is the energy per mole of particles:

1 mole contains a number of Avogadro of particles, , equal to

particles

So, by setting the following proportion, we can calculate the energy of a single photon:

This is the energy of a single photon; now we can calculate its frequency by using the formula:

where

is the Planck's constant

f is the photon frequency

Solving for f, we find

2. Wavelength:

The wavelength of the photon is given by the equation:

where

is the speed of the photon (the speed of light). Substituting,