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amu
Atomic Mass Units (weight)
A carbon atom weighs 12.01 amu (12C)
avogado’s number
6.02E23
6.02E23
1 mole
example:
1 mol C = 6.02E23 atoms = 12.01 g
1 mol H2O = 6.02E23 atoms = 18.02 g
How many grams are in 3.80 moles of Ca?
3.80 mol Ca (40.08 g Ca / 1 mol Ca) = 152 g Ca
How many moles are 42.50 grams of Al?
42.50 g Al (1 mol Al / 26.98 g Al) = 1.58 moles of Al
How many atoms are in 0.551 grams K?
0.551 g K ( 1 mol K / 39.10 g K) (6.02E23 atoms K / 1 mol K) = 8.48E21 atoms K
Volume changes with …
temperature and pressure (must defien a standard temperature and pressure)
STP
standard temperature and prssure
Standard Temperature
0 C (273 K)
Standard Pressure
1 atmosphere (atm)
At STP, 1 mole of a gas equals …
22.4 L
22.4 L/mol is called molar volume
22.4 L He = 1 mole He = 6.02E23He
How many liters do 0.543 moles of oxygen gas occupy at STP?
0.543 mol O2(22.4 L O2 / 1 mol O2) = 12.2 L O2
How many moles are 1.25E4 liters of carbon dioxide at STP?
1.25E4 L CO2 (1 mol CO2 / 22.4 L CO2) = 558 mol CO2
Calculate the number of grams in a 0.088 L sample of fluorine gas at STP?
0.088 L F2 (1 mol F2 / 22.4 L F2) (38.00 g F2 / 1 mol F2) = 0.15 g F2
If given the density of a solid or liquid …
need the density of the substance
density (d)
mass / volume
density units
g/mL
g/cm3
g/L
density of water
1.00 g/mL
Calculate the number of moles of 25.0 mL of hexane C6H14 (d = 0.6548 g / mL)
25.0 mL C6H14 (0.6548 g C6H14 / 1 mL C6H14) (1 mol C6H14 / 86.20 g C6H14) = 0.190 mol C6H14
solution
a homogeneous mixture
Amounts in solution are expressed as …
molarity (M) = moles of solute / 1 liter of solution
0.75 M NaCl = 0.75 moles of NaCl in 1 L of solution
How many moles of NaCl are in 25.5 mL of 0.75 M NaCl solution
25.5 mL sol (1 L / 1000 mL) (0.75 mol / 1 L sol) = 0.019 mol NaCl
percentage by mass of each element in a compound
find total mass and divide each element by it
If the formula of the compound is given …
percent of mass element = grams of mass element in 1 mol / molar mass (MM) of compound
MM= 3(12.01) +8(1.01) = 44.11 g
% of C = (3(12.01) g /44,11 g) (100%) = 81.68%
Emperical Formula
lowest number ratio
Molecular Formula
normal ratio
Find emperical formula given percentages
25.9% N and 74.1% O
Step 1: assume 100 grams
25.9 g N and 74.1 g O
Step 2: Calculate mols
25.9 g N (1 mol N / 14.01 g N) = 1.85 mol N
74.1 g O (1 mol O / 16.00 g N) = 4.63 mol O
Step 3: divide by smallest mol
N1O2.5
Step 4: multiply by same number (If necessary)
N2O5
Find molecular formula
27.3% C and 72.7% O (molar mass is 132.03 g / mol)
Step 1: assume 100 grams
27.3 g C and 72.7 g O
Step 2: Calculate mols
27.3 g C (1 mol C / 12.01 g C) = 2.27 mol C
72.7 g O (1 mol O / 16.00 g N) = 4.54 mol O
Step 3: divide by smallest mol
C1O2
Step 4: multiply by same number (If necessary)
C1O2
Step 5: add molar mass of compound
12.01+2(16.00)=44.01
Step 6: divide given molar mass by the empirical moral mass
132.03/44.01 = 3
Step 7: multiply empirical formula by the qoutient
C3O6
reaction (rxn)
one or more substances is changed into one or more new substances
reactants → products
Stoichiometry
the calculations of quantities in rxns
atom
mg
molecule
O2
formula unit
mgO
BrINClHOF
Always diatomic when by itself
Bromine (Br)
Iodine (I)
Nitrogen (N)
Chlorine (Cl)
Hydrogen (H)
Oxygen (O)
Fluorine (F)
Stoichiometry rules
any starting amount must be converted to moles
then convert moles of one substance into moles of another using mole ratio
then moles of product can be converted into grams, liters, or particles
How many moles of oxygen are formed if 2.39 moles of Al are formed in a rxn
2.39 mol Al (3 mol 02 / 4 mol Al) = 1.79
How many moles of Al are formed from 0.65 g of Al2O3
0.65 g Al2O3 (1 mol Al2O3 /101.96 g Al2O3) (4 mol Al / 2 mol Al2O3 ) = 0.013 mol Al
If 0.033 g Al are formed in this rxn, how many molecules of Al2O3 reacted?
0.33 g Al (1 mol Al / 26.98 g Al) (2 mol Al2O3 / 4 mol Al) (6.02E23 molecules Al2O3 / 1 mol Al2O3) = 3.7E20
Limiting Reactant
reactant that gets used up
Excess Reactant
reactant that is left over
When do you need to find the limiting reactant before answering?
when you have amounts of both reactants
When given only one reactant …
you can assume the other is the limiting reactant
What is the unit used in all ice chart values
moles
Steps for Determining Limiting Reactant
1: Calculate the number of moles of each reactant
2: Complete ICE chart
3: Answer the question
You have a sealed vessel that contains 623 mL of oxygen and 25.0 g of sodium. How much sodium oxide can you produce in grams?
Step 1:
623 mL O2 (1 L / 1000 mL) (1 mol /22.4 L) = 0.0278 mol O
25.0 g Na (1 mol / 22.9 g) = 1.09 mol Na
Step 2:
0.0278 -0.0278 = 0 mol
1.09 - 4(0.0278) = 0.98 mol
0 + 2(0.0278) = 0.0556 mol
Step 3:
0.0556 mol (61.98 g / 1 mol) = 3.45 g 2Na2O(s)
Theoretical Yield
the amount you actually get
Actual Yield
The amount of product you are supposed to get
Percent Yield
(Actual yield / Theoretical yield) 100%
Will Percent Yield ever be over 100%
No
If 15.0 g of Nitrogen reacts with 15 g of Hydrogen, 10.5 g of Ammonia is produced. What is the percent yield of this reaction?
(Find moles and fill out ice chart)
1.07 mol NH3 (Ammonia) (17.04 g NH3 / 1 mol NH3) = 18.2 g NH3 (theoretical)
(10.5 (actual) /18.2) 100% = 57.7%