Transcript Examples
Chapter 7
Representative particle- refers to whether a substance commonly exists as atoms, ions, or molecules Ex. Elements- Representative Particle is the atom
7 elements exist as diatomic molecules H 2 N 2 O 2 F 2 Cl 2 Br 2 I 2 Representative Particle of a molecular compound is a molecule Example CO SO 3
Formula unit (FU) -Representative Particle of ionic compounds Example NaCl AgNO 3 BaS Ca(C 2 H 3 O 2 ) 2
Mole- Chemists quantity of a substance that represents 6.02x10
23 representative particles of that substance- called Avagadro’s number ex. 1 dozen eggs How many moles of Mg atoms in 3.01x10
22 atoms of Mg?
# of moles in 1.20x10
25 atoms of P?
# of atoms in .750 mol of Zn?
# of molecules in 4 mol of glucose, C 6 H 12 O 6 ?
# of moles in 1.20x10
24 of CO 2 ?
molecules
To find the # of atoms in 1 mole of a compound, you must determine the # of atoms in a representative formula of that compound
# of fluoride ions in 1.46 mol of Aluminum fluoride?
# of C atoms in a mixture of 3 mol C 2 H 2 and .7 mol carbon monoxide?
Atomic Mass – amu Mass of single atom Ex) C = 12 amu Ex) H = 1 amu (Periodic Table)
Gram Atomic Mass – gam # of grams of an element that is numerically equal to the atomic mass in amu.
Ex) Carbon – gam is 12 g Ex) Oxygen – gam is 16 g
GAM – mass of 1 mol of atoms of a mono-atomic element Ex) Carbon – gam is 12 g/mol Ex) Oxygen – gam is 16 g/mol
GMM – mass of 1 mol of that compound.
Ex) GMM of H 2 O 2
2 mol H x 1 g H = 2.0 g H 1 mol H 2 mol O x 16.0 g O = 32.0 g O 1 mol O
34 g
Examples
Find the GMM of C 6 H 4 Cl 2
C 6 x 12.01 = 72.06
H 4 x 1 = 4 Cl 2 x 35.45 = 70.9
146.96 g
GFM – Mass of 1 mol of an ionic compound.
Ex) GFM of Ammonium Carbonate
2 mol N x 14gN = 28 g 1 mol N 8 mol H x 1 g H = 8 g 1 mol H 1 mol C x 12 g C = 12 g 1 mol C 3 mol O x 16 g O = 48 g 1 mol O
96 g
Molar Mass
Mass of a mole of any element or compound.
Ex) O
2
= 32 g/mol,
O = 16 g/mol
Mole Mass Conversion Ex) # of grams in 7.20 mole of dinitrogen trioxide
2 mol N x 14 g N = 28 g N 1 mol N 3 mol O x 16 g O = 48 g O 1 mol O
76 g
Example Cont’d… 7.20 mol N 2 O 3 x 76 g N 2 O 3 1mol N 2 O 3
= 5.47 x 10 2 g N 2 O 3
Grams Moles Ex) find # of moles 922g of iron(III) oxide.
922 g Fe 2 O 3 x 1 mol Fe 2 O 3 159.6 g Fe 2 O 3
= 5.78 mol Fe 2 O 3
The Volume of a gas at Standard Temperature and Pressure is 22.4 L (STP).
Std Temp = 0°C Std Press = 1 atmosphere (atm) 22.4 = molar volume of a gas = 22.4 L 1 mol
Ex) Determine the Volume in L of 0.600 mol of Sulfur Dioxide gas @ STP.
Mol L Known : 1 mol SO 2 = 22.4 L
.600 mol SO 2 x 22.4 L 1 mol SO 2
= 13.4 L SO 2
Gas Density and Gram Molecular Mass Density of gas – units g/L Ex. Density of carbon and oxygen is 1.969 g/L at STP. Determine gfm. Is compound CO or CO 2 ?
Densities of A, B, and C are 1.25, 2.86, and .714 g/L at STP. Calculate gfm of each. Identify each substance as ammonia, sulfur dioxide, chlorine, nitrogen or methane.
Volume of gas at STP 1 mol/ 22.4 L 22.4 L/ 1 mol 1 mol/6.02x10
23 part Representative particles 6.02x10
23 part/ 1 mol Mole gfm/ 1 mol 1 mol/gfm Mass
Ex. How many Carbon atoms are in a 50 carat diamond that is pure carbon? 50 carats= 10 g Mass in grams of an atom of nickel?
How many molecules are in a 6 L balloon filled with carbon dioxide (@ STP)?
Percent Composition
the percent by mass of each element in a compound.
Examples Find the percent composition of K 2 CrO 4
% mass = grams of element x 100 grams of compound
40.3 % K 26.8 % Cr 32.9 % O They must add up to equal 100%
Example An 8.20g piece of Mg combines completely with 5.40g of oxygen to form a compound. Calculate the % composition of the compound.
8.20g + 5.40g = 13.60g
% Mg = mass of Mg x 100 mass of compound 8.2 x 100 = 60.3% 13.6
Cont’d %O = mass of O x 100 mass of compound = 5.40 x 100 = 39.7% 13.6
Example 29g of silver combines with 4.3g of sulfur. Calculate % composition.
29 x 100 = 87.1% Ag 33.3 4.3 x 100 = 12.9%S 33.3
Example 222.6g of Sodium combines with 77.4g of Oxygen. Calculate % composition.
222.6 x 100 = 74.2 % Na 300 77.4 x 100 = 25.8% O 300
% Composition of a known compound % mass =
grams of element in 1 mol of cmpd x 100 gfm of compound
Examples Calculate the % composition of ethane, C 2 H 6.
C H Cont’d 2 x 12 = 24g 6 x 1 = 6g 30 g
Cont’d 24 x 100 = 80 % C 30 6 x 100 = 20 % H 30
Examples Calculate the % composition of: a) C 3 H 8 b) Calcium Acetate c) Hydrogen Cyanide
a) 81.8%C, 18.2% H b) 25.4% Ca, 30.4% C, 3.8% H, 40.5% O c) 3.7% H, 44.4% C, 51.9% N
Examples
Calculate the mass of Carbon in 82 g of C
2
H
6
.
82g C 2 H 6 x 80g C = 66g C 100g C 2 H 6 *Based on previous example, Composition of C in C 2 H 6 is 80% C & 20% H
Examples
Calculate the amount of Hydrogen in the following compounds.
350 g C
3
H
8 350 g C 3 H 8 x 18.2g H = 100g C 3 H 8
63.7g H
124g Calcium Acetate
124 g Ca(OAc) 2 x 3.8g H = 100 g Ca(OAc) 2
4.71g H
378g Hydrogen Cyanide
378 g HCN x 3.7 g H = 100 g HCN
14 g H
Empirical Formulas
Empirical Formula -
The lowest whole number ratio of the element in a compound.
An empirical formula may not be the same as the molecular formula Examples CO 2 is both empirical and molecular N 2 H 4 is molecular formula NH 2 is empirical formula because it is the simplest ratio of N : H
Examples
Find the empirical formula of a compound that is 25.9% nitrogen and 74.1% oxygen.
25.9 g N x 1 mol N = 1.85 mol N 14 g N 74.1g O x 1 mol O = 4.63mol O 16 g O
1.85 mol = 1 mol N 1.85 mol 4.63 mol = 2.5 mol O 1.85 mol
N) 1 x 2 = 2 O) 2.5 x 2 = 5 empirical formula - N 2 O 5
Examples
Find the empirical formulas for the following compounds.
79.8 %C , 20.2 %H
Empirical Formula CH
3
67.6% Mercury , 10.8% Sulfur, 21.6% Oxygen
Empirical Formula HgSO
4
17.6% Sodium, 39.7% Chromium, 42.7% Oxygen
Empirical Formula
Na 2 Cr 2 O 7
Calculating Molecular Formulas
You must know:
Empirical Formula
GFM
Examples
-gfm = 60g -Empirical formula = CH 4 N -efm = 30 gfm = 60 = 2 efm 30 2(CH 4 N) = C 2 H 8 N 2
gfm = 181.5 g Empirical formula = C 2 HCl efm = 60.5
gfm = 181.5 = 3 efm 60.5
3(C
2
HCl) = C
6
H
3
Cl
3
Methyl butanoate smells like apples. The Percent Composition is 58.8% C, 9.8%H, 31.4% O. The gfm is 102 g/mol - what is the molecular formula?
58.8 gC x 1 mol C = 4.9 mol C 12g C 9.8 gH x 1 mol H = 9.8 mol H 1g H 31.4 gO x 1 mol O = 1.96 mol O 16g O
4.9 = 2.5 mol C 1.96
9.8 = 5 mol H 1.96
1.96 = 1 mol O 1.96
C) 2.5 x 2 = 5 H) 5 x 2 = 10 0) 1 x 2 = 2 C 5 H 10 0 2