Complete the following table: (In this problem you are to determine the values for each of the empty entries. The goal of this problem is for you to become comfortable with the moles, molar mass, and Avogadro's number. If you would like some help use the Help table below. To check your answers use the Answer table.)

ANSWER Table:

Formula

M, Molar
Mass (g ­ mol-1)

m, Mass of
sample (g)

n, Moles of
sample (mol)

N, Number of atoms,
molecules or formula units

H2SO4

98.0

0.825

   

Answer:

In this case the compound is sulfuric acid, H2SO4, we are given the molar mass, 98 grams ­ mol-1 and a sample with a mass of 0.825 g. Even though the molar mass was given, it could be calculated by adding the atomic mass for two hydrogen atoms, one sulfue atom and four oxygen atoms. Check it if you are not sure. As long as we know the formula of the substance the molar mass can be determined by summing the atomic masses of the elements in the formula.

The first blank cell is the moles of the sample. To determine the number of moles in the sample the mass of the sample must be converted to moles using the molar mass. This can be set-up by the following conversion,

Note: the molar mass says there are 98.0 g of H2SO4 in 1 mol of H2SO4. This says for H2SO4, 98.0 g H2SO4 = 1 mol H2SO4. We can use this equality as a conversion to change grams to moles.

Formula

M, Molar
Mass (g ­ mol-1)

m, Mass of
sample (g)

n, Moles of
sample (mol)

N, Number of atoms,
molecules or formula units

H2SO4

98.0

0.825

  8.42 x 10-3

 

Now we can determine the number of molecules of H2SO4 in the sample. (Note: we had to calculate the number of moles in the sample before we could calculate the number of molecules.)

To convert moles to molecules Avogadro's number is used. Recall Avogadro's number relate the number in 1 mol. 1 mol of a substance contains 6.02 x 1023 particles. In this case H2SO4 is a covalent compound so the particles are molecules.

Formula

M, Molar
Mass (g ­ mol-1)

m, Mass of
sample (g)

n, Moles of
sample (mol)

N, Number of atoms,
molecules or formula units

H2SO4

98.0

0.825

  8.42 x 10-3

5.07 x 1021 molecules