Transcript Chapter 3 ppt

Mass Relationships in
Chemical Reactions
Micro World
atoms & molecules
Macro World
grams
Atomic mass is the mass of an atom in
atomic mass units (amu)
By definition:
1 atom 12C “weighs” 12 amu
On this scale
1H
= 1.008 amu
16O
= 16.00 amu
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The average atomic mass is the weighted
average of all of the naturally occurring
isotopes of the element.
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Example: 3.1
Copper, a metal known since ancient times, is
used in electrical cables and pennies, among
other things.
The atomic masses of its two stable isotopes,
(69.09 percent) and
(30.91 percent), are
62.93 amu and 64.9278 amu, respectively.
Calculate the average atomic mass of copper.
The relative abundances are given in
parentheses.
Mole
Avogadro’s number: 6.022x1023
(atoms, molecules, particles)
For any element
atomic mass (amu) = molar mass (grams)
Example: 3.2
Helium (He) is a valuable gas used
in industry, low-temperature
research, deep-sea diving tanks,
and balloons.
How many moles of He atoms are in
6.46 g of He?
A scientific research helium balloon.
Molecular Mass
1S
2O
SO2
32.07 amu
+ 2 x 16.00 amu
64.07 amu
SO2
For any molecule
molecular mass (amu) = molar mass (grams)
1 molecule SO2 = 64.07 amu
1 mole SO2 = 64.07 g SO2
Example: 3.5
Calculate the molecular masses (in amu) of the following
compound:
(a) caffeine (C8H10N4O2), a stimulant present in tea, coffee, and
cola beverages
Example: 3.6
Methane (CH4) is the principal
component of natural gas.
How many moles of CH4 are
present in 6.07 g of CH4?
Example: 3.7
How many hydrogen atoms
are present in 25.6 g of urea
[(NH2)2CO], which is used as a
fertilizer, in animal feed, and in
the manufacture of polymers?
The molar mass of urea is
60.06 g.
urea
Formula Mass
1Na
NaCl
22.99 amu
1Cl + 35.45 amu
NaCl
58.44 amu
For any ionic compound
formula mass (amu) = molar mass (grams)
1 formula unit NaCl = 58.44 amu
1 mole NaCl = 58.44 g NaCl
Mass Spectrum of Ne
Heavy
Light
Heavy
Light
Mass Spectrometry
Heavy
Light
Mass
Spectrum
of Ne
Percent Composition
n x molar mass of element
x 100%
molar mass of compound
n is the number of moles of the element in 1 mole
of the compound
2 x (12.01 g)
%C =
x 100% = 52.14%
46.07 g
6 x (1.008 g)
%H =
x 100% = 13.13%
46.07 g
1 x (16.00 g)
%O =
x 100% = 34.73%
46.07 g
C2H6O
52.14% + 13.13% + 34.73% = 100.0%
Example: 3.8
Phosphoric acid (H3PO4) is a colorless,
syrupy liquid used in detergents,
fertilizers, toothpastes, and in carbonated
beverages for a “tangy” flavor.
Calculate the percent
composition by mass of H, P, and O in this
compound.
Example: 3.10
Chalcopyrite (CuFeS2) is a
principal mineral of
copper.
Calculate the number of
kilograms of Cu in
3.71 × 103 kg of
chalcopyrite.
Chalcopyrite.
Hydrate
Steps:
1. Find the mass of water or mass of anhydrate
2. Turn mass of water and mass of anhydrate into moles
(individually)
3. Find the mole ratio; mole of anhydrate
mole of water
:
mole of anhydrate
mole of anhydrate
4. Write the formula of the hydrate
Example
A calcium chloride hydrate has a mass of 4.72 g. After heating for
several minutes the mass of the anhydrate is found to be 3.56 g.
Use this information to determine the formula for the hydrate.
Empirical Formula
Steps:
1. Percent to mass
2. Mass to moles
3. Divide by small
4. Multiply ‘til whole
Example: 3.9
Ascorbic acid (vitamin C) cures
scurvy.
It is composed of 40.92 percent
carbon (C), 4.58 percent hydrogen
(H), and 54.50 percent oxygen (O)
by mass.
Determine its empirical formula.
Combust 11.5 g ethanol
Collect 22.0 g CO2 and 13.5 g H2O
g CO2
mol CO2
mol C
gC
6.0 g C = 0.5 mol C
g H2O
mol H2O
mol H
gH
1.5 g H = 1.5 mol H
g of O = g of sample – (g of C + g of H)
4.0 g O = 0.25 mol O
Divide by smallest (0.25)
Empirical formula C2H6O
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Example
When ethanol is burned, carbon dioxide and water are given off.
Suppose that in one experiment the combustion of 11.5 g of
ethanol produced 22.0 g of CO2 and 13.5 g of H2O. Determine
the empirical formula for ethanol.
Molecular Formula
Steps:
1. Find empirical formula
2. Determine the molar mass of
the empirical formula
3. Find multiplier (molar mass
given/empirical molar mass)
4. Multiply empirical formula
subscripts by the multiplier
Example: 3.11
A sample of a compound contains 30.46 percent nitrogen and
69.54 percent oxygen by mass, as determined by a mass
spectrometer.
In a separate experiment, the molar mass of the compound is
found to be between 90 g and 95 g.
Determine the molecular formula and the accurate molar mass
of the compound.
Chemical Reactions and Equations
“Reactants
with”
“to
produce”
or “yield”
2 H2 (g) + O2 (g)
Reactants
2 H2O (l)
Product(s)
Balancing Chemical Reactions
Steps:
1. List elements present on
each side
2. Add coefficients to
balance (“met a non
hairy oxen”)
KClO3
O2+ KCl
Example: 3.12
When aluminum metal is exposed to air,
a protective layer of aluminum oxide
(Al2O3) forms on its surface. This layer
prevents further reaction between
aluminum and oxygen, and it is the
reason that aluminum beverage cans do
not corrode. [In the case of iron, the rust,
or iron(III) oxide, that forms is too porous
An atomic scale image
to protect the iron metal underneath, so
of aluminum oxide.
rusting continues.]
Write a balanced equation for the
formation of Al2O3.
Stoichiometry
• Mole method: coefficient in a reaction can be interpreted
as the number of moles
• Allows us to write conversion factors from a chemical
equation
Example: 3.13
The food we eat is degraded, or
broken down, in our bodies to provide
energy for growth and function. A
general overall equation for this very
complex process represents the
degradation of glucose (C6H12O6) to
carbon dioxide (CO2) and water
(H2O):
If 856 g of C6H12O6 is consumed by a
person over a certain period, what is
the mass of CO2 produced?
Example: 3.14
All alkali metals react with water to
produce hydrogen gas and the
corresponding alkali metal hydroxide.
A typical reaction is that between
lithium and water:
How many grams of Li are needed to
produce 9.89 g of H2?
Lithium reacting with
water to produce
hydrogen gas.
Limiting Reagents
CO(g) + 2 H2(g)
2NO + O2
CH3OH(g)
2NO2
Example: 3.15
Urea [(NH2)2CO] is prepared by reacting ammonia with carbon
dioxide:
In one process, 637.2 g of NH3 are treated with 1142 g of CO2.
(a) Which of the two reactants is the limiting reagent?
(b) Calculate the mass of (NH2)2CO formed.
(c) How much excess reagent (in grams) is left at the end of the
reaction?
Reaction Yield
% Yield =
Actual Yield
Theoretical Yield
x 100%
Example: 3.17
Titanium is a strong, lightweight, corrosion-resistant metal that
is used in rockets, aircraft, jet engines, and bicycle frames. It is
prepared by the reaction of titanium(IV) chloride with molten
magnesium between 950°C and 1150°C:
In a certain industrial operation 3.54 × 107 g of TiCl4 are reacted
with 1.13 × 107 g of Mg.
(a)Calculate the theoretical yield of Ti in grams.
(b)Calculate the percent yield if 7.91 × 106 g of Ti are actually
obtained.