Question

part a
how can you efficiently determine the number of nails in a package?
first determine the mass of a single nail and then convert it to the number of nails using the molar mass of nails.
first determine the mass of the package and then convert it to the number of nails using the mass of a single nail.
count each nail in the package.
first count the number of atoms in a single nail, then determine the mass of the package and convert it to the number of nails using avogadros number.
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part b complete previous part(s)
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Explanation:

• Option 1: Molar mass is for substances at atomic/molecular level, not for nails. So this is wrong.
• Option 2: If we know the mass of the package (assuming it's just the mass of nails in the package) and the mass of a single nail, we can use the formula \(n=\frac{m_{total}}{m_{single}}\) (where \(n\) is the number of nails, \(m_{total}\) is the total mass of nails in the package, \(m_{single}\) is the mass of a single nail) to find the number of nails. This is a valid and efficient method.
• Option 3: Counting each nail is time - consuming and not efficient for a large number of nails.
• Option 4: Counting atoms in a nail is complex and Avogadro's number is for counting particles (atoms, molecules etc.), not for counting macroscopic objects like nails.

Answer:

First determine the mass of the package and then convert it to the number of nails using the mass of a single nail.