Problem

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AP Chemistry
Chapter 3
Stoichiometry (Part 1)
3.1 Atomic Masses (p. 80)
An atomic mass unit (amu) is defined such that the mass of 12C is exactly 12
amu.
Atomic mass in the periodic table is the average atomic mass of all stable
isotopes of the element.
Problem: What is the atomic mass of Helium? (4.003 amu)
Problem: Why is the atomic mass Tc (technetium) in parentheses? (estimated
mass of artificial element)
Problem: Chlorine has two stable isotopes. The mass of one isotope is 34.97
amu. Its relative abundance is 75.53%. What is the mass of the other
isotope?
(34.97 amu)(0.7553) + x(0.2447) = 35.45 amu
x = 36.94 amu
Problem: Gallium has two stable isotopes of masses 68.93 amu (69Ga) and
70.92 amu (71Ga). What are the relative abundances of the two isotopes?
The average atomic mass of Gallium is 69.72 amu.
x + y = 1.000
68.93x + 70.92y = 69.72 x = 0.6030 (60.3%)
y = 0.397 (39.7%)
3.2 The Mole (p. 83)mole-number equal to the number of
carbon-atoms in exactly 12 grams of pure 12C. Called
Avogadro’s number (6.022 x 1023) to honor his contribution
to chemistry.
6.022 x 1023 amu = 1 g
Therefore, 1 amu = ? g = __________________ g
Problem: convert 12.04 x 1023 atoms He to moles
12.04 x 1023 atoms x (1 mol/6.02 x 1023 atoms) = 2 mol He
Problem: convert 5000. grams K to moles
5000. g K x (1 mol K/39.10 g) = 127.87 = 127.9 mol K
Problem: convert 5.00 mol Ag to mass in grams
5.00 mol Ag x (107.9 g Ag/1 mol Ag) = 539.5 = 540. g
Problem: convert 25.0 mol Ar to number of atoms
25.0 mol Ar x (1 mol/6.02 x 1023 atoms) = 1.505 x 1025
atoms
Problem: Convert 3.01 x 1023 atoms Ni to mass in grams
3.01 x 1023 atoms Ni x (1 mol/6.02 x 1023 atoms) x
(58.69 g/ 1 mol Ni) = 29.345 = 29.3 g
Problem: convert 2000. grams of Mg to number of atoms
2000. g Mg x (1 mol/24.3 g) x (6.02 x 1023 atoms) =
4.95 x 1025 atoms Mg
3.3 Molar Mass (p. 87)- the mass in grams of 1 mole of a compound
Problem: calculate the molar mass of Na2SO4
2(22.9) + 32.06 + 4(16.00) =
Problem: calculate the molar mass of copper (II) sulfate pentahydrate.
63.5 + 32.06 + 4(16.00) + 5(18.00) =
Problem: convert 72 grams HCl to number of molecules
72 g HCl x (1 mol/36.5 g) x (6,02 x 1023 molecules/1 mol) = 1.204 x
1024 molecules
Problem: convert 1.81 x 1024 molecules H2S to mass in grams
1.81 x 1024 molecules x (1 mol/6.02 x 1023 molecules) x (34 g/1 mol)
= 102.2 = 102 g
3.4 Percent composition (p. 91) Use the molar
mass of a compound to determine the %
composition by mass of the compound. (Also,
be able to do in reverse.)
Problem: determine the % composition of
Na2SO4 (molar mass =
3.5 Determining the Formula of a compound
(p. 93)
• Empirical formula determination:
(p. 99)
• Determine the # of moles of each element
present in the compound
• Determine the relative # of moles of each
element by dividing the smallest # of moles into
all of the others
• If you do not get small whole numbers, then
multiply by each number by an integer. (The small
whole numbers represent subscripts)
Molecular Formula Determination:
(p. 99-100)
• (same steps as empirical formula determination)
• Calculate the molar mass of the empirical
formula.
• Compare it to the given or known molar mass of
the compound.
• If it is the same, then the EF = MF; if not, it must
be a multiple (again, some small whole number)
of the molar mass of the empirical formula.
• Multiple the EF by the small whole number to get
the MF.
Problem: find the empirical formula of a
compound with 1.645 g N & 0.355 g H
Problem: Find the empirical formula of a
compound with 20.23% Al and 79.77% Cl.
(Hint: assume 100 grams)
Problem: A compound of phosphorus and
oxygen contains 56.36% oxygen. Its molar
mass is 283.9 g. What is the molecular
formula? (determine empirical formula first)
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