Questions: Consider a sodium (Na) atom. a. What is the mass of one atom of Na (include units) b. Given that 1 amu=1.6606 × 10^-24 grams, find the mass of a mole of Na atoms. c. What are the units of your calculation?

a. What is the mass of one atom of Na (include units)

Atomic mass of Na

The atomic mass of sodium (\(\mathrm{Na}\)) is approximately 23 atomic mass units (amu).

Convert amu to grams

To find the mass of one atom of Na in grams, use the conversion \(1 \, \mathrm{amu} = 1.6606 \times 10^{-24} \, \mathrm{grams}\). Therefore, the mass of one Na atom is \(23 \, \mathrm{amu} \times 1.6606 \times 10^{-24} \, \mathrm{grams/amu} = 3.81938 \times 10^{-23} \, \mathrm{grams}\).

\(\boxed{3.81938 \times 10^{-23} \, \mathrm{grams}}\)

b. Given that \(1 \mathrm{amu}=1.6606 \times 10^{-24}\) grams, find the mass of a mole of Na atoms.

Avogadro's number

Avogadro's number is \(6.022 \times 10^{23}\), which is the number of atoms in one mole of a substance.

Calculate the mass of a mole of Na atoms

The mass of a mole of Na atoms is the atomic mass in grams, which is \(23 \, \mathrm{grams/mole}\). This is because the atomic mass unit (amu) is defined such that one mole of a substance has a mass in grams equal to its atomic mass.

\(\boxed{23 \, \mathrm{grams/mole}}\)

c. What are the units of your calculation?

Units for mass of one atom

The units for the mass of one atom of Na are grams.

Units for mass of a mole of atoms

The units for the mass of a mole of Na atoms are grams per mole.

\(\boxed{\mathrm{grams} \, \text{and} \, \mathrm{grams/mole}}\)

\(\boxed{3.81938 \times 10^{-23} \, \mathrm{grams}}\)
\(\boxed{23 \, \mathrm{grams/mole}}\)
\(\boxed{\mathrm{grams} \, \text{and} \, \mathrm{grams/mole}}\)