To correctly model a cobalt atom with a mass number of 59 and an atomic number of 27:
- The atomic number (27) indicates the number of protons in the nucleus of the atom.
- The mass number (59) is the total number of protons and neutrons in the nucleus.
To find the number of neutrons, use the formula:
\[ \text{Number of neutrons} = \text{Mass number} - \text{Number of protons} \]
So for cobalt:
\[ \text{Number of neutrons} = 59 - 27 = 32 \]
Thus, a cobalt atom has 27 protons and 32 neutrons.
The correct statement about the model is: The model should show 27 protons and 32 neutrons.