CHEM 120: Introduction to Inorganic Chemistry
Instructor: Upali Siriwardane (Ph.D., Ohio State University)
CTH 311, Tele: 257-4941, e-mail: upali@chem.latech.edu
Office hours: 10:00 to 12:00 Tu & Th ;  8:00-9:00 and 11:00-12:00  M,W,& F

Chapters Covered and Test dates
Tests will be given in regular class periods  from  9:30-10:45 a.m. on the following days:
September 22,     2004 (Test 1): Chapters 1 & 2
October 8,           2004(Test 2):  Chapters  3, & 4
October 20,         2004 (Test 3): Chapter  5 & 6
November 3,        2004 (Test 4): Chapter  7 & 8
November 15,      2004 (Test 5): Chapter  9 & 10
November 17,      2004 MAKE-UP: Comprehensive test (Covers all chapters
Grading:
 [( Test 1 + Test 2 + Test3 + Test4 + Test5)] x.70 + [ Homework + quiz average] x 0.30 = Final Average
                                            5

Chapter 5. Calculations and the Chemical Equation

The mole concept and atoms
In ch 1 we learned that 1 amu = 1.661 x 10-24 g
So if the average mass of a gold atom is196.97 amu x 1.661 x 10-24 g  = 3.27 x 10-22 g            1 amu
                                      a very small no.

"Where did I get the..."
Where did I get the 196.97 anu for the mass of one Au atom?
From the ____________________!!!
If I write amu after these nos. it implies that I have the mass of ______ atom of that element (in amu).
But 3.27 x 10-22 g is too small an amt to work with in the lab.
What to do?
Scale up to quantities that we can handle by

Avogadro’s number
Defining  one mole (mol) as amt of substance that contains as many elementary entities  (atoms, molecules, ions , etc) as there are in atoms in exactly 12 g of the carbon-12 isotope. This is determined experimentally and is…...

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Useful relationship
# moles X = #g X/molar mass X

Some problems
How many atoms are there in 5.10 moles of sulfur? What’s the mass of 5.10 moles of S?
How many moles of calcium atoms are in 1.16 x 1024 atoms of Ca? How many grams?

"Which of the following has..."
Which of the following has more atoms: 1.10g of hydrogen atoms or 14.7 g of chromium atoms?
How many moles are in 0.040 kg Na?

"What’s the mass,"
What’s the mass, in grams, of one atom of potassium?
One atom of some element has a mass of 1,45 x 10-22 g. Identify the element.

Compounds
The chemical formula:
      MgO  (ion pair)
      H2O
      C12H22O11
      Ca3(PO4)2
      CuSO4.5H2O  vs  CuSO4

The mole concept applied to compounds
The formula weight of a species is the sum of atomic masses (amu) of the atoms in a species.
Formula weight of NH3
For an ionic compound
MgF2 =

"In general we talk about"
In general we talk about
moles for covalent compounds
formula units rather than moles of ionic compounds.

Molar mass
Mass of one mole of NH3:
 Mass of 6.022 x 1023 molecules of NH3 is
Mass of one molecule of NH3 is.

"Mass of one mole of..."
Mass of one mole of MgF2 is
Mass of one formula unit  of MgF2 is
Mass of 6.022 x 1023 formula units of MgF2 is

"Calc the molar"
Calc the molar  mass of Ca(NO3)2.
Calc the molar mass of a compound if 0.372 mol of it has a mass of 152g.

"5.38."
5.38. How many grams of each are required to have 0.100 mol of
A. NaOH
B. H2SO4
C. C2H5OH
D. Ca3(PO4)2

"5.40."
5.40. How many moles are in 50.0 g of
A. CS2
B. Al2(CO3)3
C. Sr(OH)2
D. LiNO3

"Calc the no."
Calc the no. of C, H, and  O atoms in 1.50 g of glucose (C6H12O6).
What is the average mass of one C3H8 molecule?
What is the mass of 5.00 x 1024 molecules of NH3?

Law of conservation of mass
Mass is neither created nor destroyed in an ordinary chemical rxn.
Or the sum of the masses  of the reactants is equal to the sum of the masses of the products

"mercury + oxygen ---> mercury(II)oxide"
mercury + oxygen ---> mercury(II)oxide
 10.03g       ?                     10.83g
Easier to use symbols for chem eqns.

"reactants g"
reactants g  products
       lhs            rhs
may indicate physical state by (s), (g), (l), (aq)-aqueous solution
Remember that H2,N2,O2,F2,Cl2,Br2,I2 occur as diatomics in nature and are used as diatomics in chemical eqns

"To balance:"
To balance: Have to have same no of each kind of atom on both sides of the eqn. The bonding arrangement changes, but the no of each kind of atom doesn’t change.

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Balancing chemical eqns
Use correct formulas for the reactants and products (if word eqn at start)
Balance by putting coefficients (nos) in front of the formulas. You may not change the formulas! These coefficients are called the stoichiometric (measure of mass) coefficients.
By convention use the lowest set of whole no. coefficients to balance.

"Start by balancing elements that..."
Start by balancing elements that appear only once on each side of the equation
Balance remaining elements
Check your balanced equation!
To predict products--do an experiment

To balance
hydrogen + nitrogen  g ammonia
1. write the symbols for the species in the rxn

"Now figure out how to..."
Now figure out how to get the same no of atoms of each kind on both sides by using whole no coefficients in front of the species.
As       H2  + _N2 g NH3, then
           H2  + _N2 g _ NH3,  then
          _ H2  +  _N2 g _ NH3
Now have _ H’s, _N’s on both sides and the lowest set of whole no coefficients have been used.  The equation is balanced.

"3H2 + N2 g 2NH3"
3H2 + N2 g 2NH3
3 mol of H2 reacts with 1 mol of N2 to form 2 mol of NH3
3 molecules of H2 reacts with 1 molecule of N2 to form 2 molecules of NH3
6H + 2N reacts to give 6H and 2N
6g of H2 reacts with 28 g of N2 to form 34g of NH3
Note that

Balance
C2H6 + O2 g CO2 + H2O
H2O2 g H2O + O2
C2H5OH + O2 g CO2 + H2O
KOH + H3PO4 g K3PO4  + H2O
N2O5 g N2O4 + O2

Balance
NH4NO3 g N2O  +  H2O
NH4NO2 g N2   + H2O
Be2C + H2O g Be(OH)2 + CH4
NH3 + CuO g Cu + N2 + H2O

Balance
S2Cl2(s) + NH3(g)  g  N4S4(s) + NH4Cl(s) + S8(s)

Calculations using the chemical eqn
Quantitative study of reactants and products in a chemical reaction
How much product will be formed?
How much reactant is needed?
Use coefficients in a balanced equation to convert between moles of different substances in a chemical reaction.

Chemical Reaction
3H2(g)  +    N2(g) ------>  2NH3(g)
3 mol H2 (reactant) = 1 mol N2 (reactant)  consumed
3 mol H2 (reactant) =  2 mol NH3 (products) produced
1 mol N2 (reactant) = 2 mol NH3 (products) produced
3 x 2 (6) g H2 (reactant) = 1x 28  (28)mol N2 (reactant)  consumed
3 x 2 H2 (6) (reactant) =  2x 17 (34) NH3 (products) produced
1 x 28 (28) g N2 (reactant) = 2 x 17 (34) NH3 (products) produced

Chemical reactions
Hydrogen reacts with nitrogen to form NH3.
 theoretically  it is should be that when 6 g of hydrogen reacts completely with  28 g of nitrogen,  34 g of ammonia is formed.
However in real chemical reactions actual __ g of hydrogen reacting with __ g of nitrogen,  __ g of ammonia is produced need be experimentally determined.

2H2 + O2 g 2H2O

2H2 + O2 g 2H2O
How many moles of H2  is needed to completely react with19.8 mol O2?
How many moles of H2O are formed when 25.4 mol of H2 react?

2H2 + O2 g 2H2O
How many moles of H2 react with 38 g of O2?
What mass of H2O is formed when 59.0g of H2 reacts completely with O2?  How much O2 reacted in this case?

Mass relationships
in chemical equations
Mole-to-mole conversions
use mole ratios as conversion factors
Mass-to-mole and mole-to-mass conversions
use molecular weights as conversion factors
Mass-to-mass conversions
do in multiple steps

General prescription

Problems
How many grams of Al2O3 can be produced from 15.0 g Al?
4 Al(s) + 3O2(g) g 2Al2O3(s)

"C3H8 +"
C3H8 +  O2 g CO2 + H2O    balance
How many mol of O2 does it take to completely burn 7.0 mol of C3H8?
How many mol each of CO2 and H2O are produced?
How many grams of oxygen does it take to completely burn 25.0 g of C3H8?
How many grams each of CO2 and H2O are produced when 25.0 g of C3H8 is burned?

"A 4.00 g sample of..."
A 4.00 g sample of Fe3O4 reacts with O2 to produce Fe2O3.
4Fe3O4(s) + O2(g)g   6Fe2O3(s)
Determine the no. of grams of Fe2O3 produced.

Theoretical and percent yield
How good an experimentalist are you?
What if 100% of reactants are not converted to desired products?
Frequently happens because of “side reactions” (other products), handling, etc.
100% amount is theoretical yield
Amount obtained is actual yield

"Theoretical yield - amount of..."
Theoretical yield - amount of product that would result if all limiting reagent gave only product
Actual yield - the amount of product actually obtained from a reaction (almost always less than the theoretical yield)
Percent yield - calculated by
% yield = actual yield     ´ 100%
                  theoretical yield

"Theoretical yield is what we..."
Theoretical yield is what we calculate assuming 100% conversion of reactants to products.
In the combustion of 33.5g of C3H6, 16.1 g of H2O is isolated. What is the percent yield?

"If the % yield of..."
If the % yield of Fe2O3 in problem was 90.0% what was the actual yield of Fe2O3?

"A 3.5 g sample of..."
A 3.5 g sample of water reacts with PCl3 according to : 3H2O + PCl3 g H3PO3 + 3HCl.
How many grams of H3PO3 are produced?