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1.Calculate the molar mass of: (Ca(C2H3O2)2)
Ca = 40.1 g/mol
4 * C = + 48.0 g/mol
6 * H = + 6.0 g/mol
4 * O2 = + 64.0 g/molmolar mass (Ca(C2H3O2)2) = 158.1 g/mol
Chapter 10: Molar Mass
2. Number of atoms in a molecule1. How many atoms of hydrogen are present in four molecules of C3H7O?
Answer: 28 How many atoms of hydrogen are present in:
2. Al(OH)3
Answer: 3
3. (NH4)2HPO4
Answer: 9
4. C4H10O
Answer: 10
mole
Representative particlesMass
Volume of gas at STP
1.0 mole
6.02 x 10 23 particles
6.02 x 10 23 particles
1.0 mole
1.0 mole
molar mass
molar mass
1.0 mol
22.4 L
1 . 0 mol e
1.0 mole
22 .4 L
Mole conversions
Figure 10.12 (pg 303)
1. Calculate the mass, in grams, of 2 molecules of ribose C5H10O5.
a. Calculate molar mass: C5H10O5 molar mass = C: 5 * 12.0 g/mol = 60.0 g/mol
H: 10* 1.0 g/mol = +10.0 g/mol O: 5* 16.0 g/mol = +80.0 g/mol
C5H10O5 molar mass = 150.0 g/mol
b. Solve using mole conversion:2 molecules * 1mole * 150.0 g = 4.98 x 10-22 g
6.02 x 1023 mole
Problem: Calculate the mass, in grams, of a molecule of aspirin (C9H8O4)
Molar mass C9H8O4 = 180.0 g/moleAnswer: 2.99 x 10-22 g
Mole conversions: Finding mass in grams
Mole conversions: Finding volume in liters
2. Calculate the vol., in liters, of 1.50 mole Cl2 at STP
a. Use molar volume to convert moles to liters:
1.50 mole Cl2 * 22.4 L = 33.6 L mole
Problems: Calculate the vol., in liters, of the following gases at STP:
i. 7.6 mole Ar ii. 0.44 mole C2H6 iii. 835g SO3
Answer: i. 1.7 x 102 L Ar ii. 9.9 L C2H6
iii. 234 L SO3
Mole conversions: Finding the # of atoms
3. Calculate the number of atoms in 5.78 mol NH4NO3.
Answer: 3.13 x 1025 atoms
% CompositionNicotine has a molecular formula of C10H14N2, calculate the % composition of nitrogen (ONLY) in this compound.
1. Calculate the molar mass
10 * C = 120.0 g/mol
14 * H = + 14.0 g/mol
2 * N2 = + 28.0 g/mol molar mass C10H14N2 = 162.0 g/mol
% Composition
2. Divide molar mass of nitrogen by total mass of compound
% Composition = 28.0 g/mol * 100 % 162.0 g/mol
= 17.3 %
C/E: 5/25/10
Empirical Formula from % composition
Calculate the empirical formula of a compound that contains 25.9% nitrogen and 74.1% oxygen.
unknown: Empirical formula = N?
O?
Known:% nitrogen = 25.9% oxygen = 74.1
1. Change % composition (ratio of the mass) to the ratio of moles by using molar mass2. Reduce the ratio to the lowest whole-number ratio
Empirical Formula from % Composition and molar mass
Solving:25.9 g N * 1mol N = 1.85 mol N
14.0 g N
74.1 g O * 1mol O = 4.63 mol O 16.0 g O
Mole ratio of nitrogen to oxygen is N1.85O4.63.
Divide by the smaller number:
1.85 mol N = 1 mol N; 4.63 mol O = 2.50 mol O 1.85 1.85
This becomes: N1O2.5
Multiply by 2: N2O5
Empirical Formula from % Composition and molar mass
Calculate empirical formula of each compound:
1. 94.1% O; 5.9% H
Answer: HO
2. 67.6% Hg; 10.8% S; 21.6% O
Answer: HgSO4
Molecular Formula from % Composition and molar mass
The % composition of methyl butanoate is 58.8% C, 9.8% H, and 31.4% O and its molar mass is 102 g/mol. What is the empirical formula? What is the molecular formula?
Solve: 1. Compute moles using molar mass
C: 58.8 g * 1 mol = 4.9 mol 12.0 g
H: 9.8 g * 1 mol = 9.8 mol 1.0 g
O: 31.4 g * 1 mol = 1.96 mol 16.0 g
Molecular Formula from % Composition and molar mass
2. Divide by the smallest number of moles
1.96 mol O = 1 mol O; 9.8 mol H = 5 mol H; 4.9 mol C = 2.5 mol 1.96 1.96 1.96
This becomes: C2.5H5O1
Multiply by 2: C5H10O2 (Empirical formula)
3. Compute molar mass of empirical formula
Molecular Formula from % Composition and molar mass
molar mass C5H10O2: C = 5 * 12.0 g/mol = 60.0 g/mol H = 10 * 1.0 g/mol = 10.0 g/mol
O = 2 * 16.0 g/mol = 32.0 g/mol 102.0 g/mol
3. Compute the ratio of molar mass of compound and empirical formula
Molar mass methyl butanoate = 102 g/mol = 1 Empirical formula molar mass 102 g/mol
4. Multiply empirical formula with the ratio in step 3
C5H10O2 * 1 = C5H10O2
So, empirical formula = molecular formula
Molecular Formula from % Composition and molar mass
Problem: Caffeine is analyzed and found to have the following % composition: 49.5% carbon, 5.2 % hydrogen, 28.9% nitrogen and 16.4% oxygen. The molar mass of caffeine is 195 g/mol. Find the molecular formula of this compound.
1. C4H5N2O1 2. Molar mass of empirical formula = 97 g/mol
3. Molar mass caffeine = 195 g/mol = 2 Molar mass empirical formula 97 g/mol
4. Molecular formula = C4H5N2O1 * 2 = C8H10N4O2
Balancing Chemical Equations
______C8H18 + _______ O2 ______CO2 +______H2O
_____(NH4)3PO4 + _____ Pb(NO3)4 _____ Pb3(PO4)4 +____(NH4)NO3
2 25 16 18
4 3 12
Types of Chemical Reactions
A. HCl(aq) + Na(s) NaCl(aq) + H2(g)
B. O2(g) + P4 P2O5
C. FeCl3(aq) + NH4OH(aq) ? Fe(OH)3(s) + NH4Cl(aq) D. C6H22O11 + O2(g) CO2(g) + H2O(l) E. FeBr3 Br2(g) + Fe(s)
single replacement
synthesis
double replacement
combustion
decomposition
Net ionic equations, formation of a precipitate, and identification of spectator ions
Ba(NO3)2 (aq) + K2CO3 (aq) ?
Ba(NO3)2 (aq) + K2CO3 (aq) BaCO3 (s) + 2KNO3 (aq)
Total Ionic:Ba+2 (aq) + NO3
-1 (aq) + K +1 (aq) + CO3-2 (aq) BaCO3 (s) + K+1 (aq) + NO3
- (aq)
Spectator ions: NO3-1 (aq), K +1 (aq)
Net Ionic: Ba+2 (aq) + CO3
-2 (aq) BaCO3 (s) D:5/26/10
Net ionic equations, formation of a precipitate, and identification of spectator ions (continued)
AgNO3 (aq) + K3PO4 (aq) ?
AgNO3 (aq) + K3PO4 (aq) Ag3PO4 (s) + KNO3 (aq)
Total Ionic:Ag+ (aq)+ NO3
- (aq)+ K+ (aq)+ PO43- (aq) Ag3PO4 (s) + NO3
- (aq) + K+ (aq)
Spectator Ions: NO3- (aq), K+ (aq)
Net Ionic: 3Ag+ (aq) + PO43- (aq) Ag3PO4 (s)