Study Guide Part 7. Atomic Weights, Formula Weights, and Moles

Answers

 

1. A golf ball weighs 45.41 g, and a gross (144) of styrofoam balls weighs 224.6 g.

(a) How much does a dozen golf balls weigh? 544.9 g (0.5449 kg)

(b) If you have a box of golf balls weighing 22.30 kg, how many golf balls are in the box? 491

(c) How much does one styrofoam ball weigh? 1.560 g

(d) How much heavier is a golf ball than a styrofoam ball? 29.11 times as heavy

 

2. An atom of 198 Pt weighs 16.497 times as much as an atom of 12C.

What is the mass (in amu) of one atom of 198Pt? 197.96 amu

What is the mass (in g) of one atom of 198Pt? 3.287 x 10-22 g

What is the mass (in g) of 1.000 x 1020 atoms of 198Pt? 3.287 x 10-2 g

 

3. For each of the following elements, calculate: (a) the molar mass; (b) the number of moles of molecules in 10.00 g, (c) the moles of atoms in 10.00 g; (d) the number of molecules in 10.00 g.

Element

Molar mass, g/mol

Moles of molecules in 10.00 g

Moles of atoms in 10.00 g

No. of molecules in 10.00 g

H2

2.016

4.960

9.920

2.987 x 1024

Xe

131.29

7.617 x 10-2

7.617 x 10-2

4.587 x 1022

P4

123.895

8.071 x 10-2

3.229 x 10-1

4.861 x 1022

S8

256.48

3.899 x 10-2

3.119 x 10-1

2.348 x 1022

Note the distinction between moles of molecules, number of molecules, moles of atoms, and number of atoms.

 

4. How many moles of iron does 0.185 mole of each of the following compounds contain?

FeCl2

0.185 mol Fe

FeCl3

0.185 mol Fe

Fe2(SO4)3

0.370 mol Fe

Fe3O4

0.555 mol Fe

Fe(NH4)2(SO4)2.6H2O

0.185 mol Fe

5. Calculate the formula weights and molar masses for each of the following iron compounds: (atomic weights used: Fe = 55.847; Cl = 35.453; S = 32.06; O = 15.999; H = 1.008; N = 14.007)

FeCl2

126.753 amu (molar mass = 126.753 g/mol)

FeCl3

162.206 amu (molar mass = 162.206 g/mol)

Fe2(SO4)3

399.87 amu (molar mass = 399.87 g/mol)

Fe3O4

231.539 amu (molar mass = 231.539 g/mol)

Fe(NH4)2(SO4)2.6H2O

392.13 amu (molar mass = 392.13 g/mol)

6. How many moles of iron are contained in 2.000 g of each of the following compounds?

FeCl2

0.01578 mol Fe

FeCl3

0.01233 mol Fe

Fe2(SO4)3

0.01000 mol Fe (1 mol of compound ---> 2 mol Fe)

Fe3O4

0.02591 mol Fe (1 mol of compound ---> 3 mol Fe)

Fe(NH4)2(SO4)2.6H2O

5.100 x 10-3 mol Fe

7. What mass of each of the following iron compounds must be taken in order to obtain 0.300 moles of iron?

Fe(NH4)2(SO4)2.6H2O

118 g

FeCl2

38.0 g

FeCl3

48.7 g

Fe2(SO4)3

60.0 g (each mol of compound ---> 2 mol Fe)

Fe3O4

23.2 g (each mol of compound ---> 3 mol Fe)

8. How many moles of molecules are contained in 1.000 kg of each of the following organic substances? How many moles of C, H, and Cl atoms are contained in 1.000 kg of each?

(a) Molar mass: C3H7Cl = 78.542 g/mol

1.000 kg = 12.73 moles of molecules
38.20 moles of C atoms
89.12 moles of H atoms
12.73 moles of Cl atoms

(b) Molar mass: C4H6Cl2 = 124.998 g/mol

8.000 moles of molecules
32.00 moles of C atoms
48.00 moles of H atoms
16.00 moles of Cl atoms

(c) Molar mass: C7H7Cl = 126.586 g/mol

1.000 kg = 7.900 moles of molecules
55.30 moles of C atoms
55.30 moles of H atoms
7.900 moles of Cl atoms

(d) Molar mass: C4H9Cl = 92.568 g/mol

10.80 moles of molecules
43.21 moles of C atoms
97.23 moles of H atoms
10.80 moles of Cl atoms

 

 

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Created October 1, 2000 by M. F. Richardson
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