Question

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 nu

previous answers

correct

part b

why is counting them not an option?
they are so incredibly small it makes traditional counting impossible.
since there can be hundreds and thousands of them, counting takes too long
counting is very inaccurate compared to the process described above.
the laws of arithmetic do not hold for such small objects

Explanation:

For the first part, if we know the mass of a single nail \(m_{single}\) and the mass of the package \(M_{package}\), we can find the number of nails \(n=\frac{M_{package}}{m_{single}}\). Counting each nail is time - consuming. For the second part, nails are usually produced in large quantities (hundreds or thousands in a package), so counting each one takes too long.

Answer:

• Part A: First determine the mass of the package and then convert it to the number of nails using the mass of a single nail.
• Part B: Since there can be hundreds and thousands of them, counting takes too long.