The correct statement about the model of a cobalt atom is:
The model should show 27 protons and 32 neutrons.
Here's the reasoning:
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The atomic number of cobalt is 27, which means it has 27 protons.
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The mass number is 59, which is the sum of protons and neutrons in the nucleus.
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To find the number of neutrons, you can use the formula:
\[ \text{Neutrons} = \text{Mass number} - \text{Atomic number} = 59 - 27 = 32 \]
So, a cobalt atom consists of 27 protons and 32 neutrons.