The scientific discipline that intersects the areas of chemistry and
physic is commonly known as physical chemistry, and it is in that area that a thorough study of
thermodynamics
takes place. Physics concerns itself heavily with the mechanics of
events in nature. Certainly changes in energy -- however measured,
whether it be heat, light, work, etc. -- are clearly physical events
that also have a chemical nature to them. Thermodynamics is the study
of energy changes accompanying physical and chemical changes. The term
itself clearly suggests what is happening -- "thermo", from temperature,
meaning energy, and "dynamics", which means the change over time.
Thermodynamics can be
roughly encapsulated with these topics:
Heat and Work
Heat and
work
are both forms of energy. They are also related forms, in that one can
be transformed into the other. Heat energy (such as steam engines) can
be used to do work (such as pushing a train down the track). Work can
be transformed into heat, such as might be experienced by rubbing your
hands together to warm them up.
Work and heat can both be described using the same unit of measure.
Sometimes the calorie is the unit of measure, and refers to the amount
of heat required to raise one (1) gram of water one (1) degree Celsius.
Heat energy is measured in kilocalories, or 1000 calories. Typically,
we use the SI units of Joules (J) and kilojoules (kJ). One calorie of
heat is equivalent to 4.187 J. You will also encounter the term
specific heat, the heat required to raise one (1) gram of a material one
(1) degree Celsius. Specific heat, given by the symbol "C", is
generally defined as:
| C = |
q
 MΔT
|
|
Where:
C = specific heat in cal/g-°C
q = heat added in calories,
m = mass in grams
ΔT = rise in temperature of the material in °C.
The value of
C for water is 1.00 cal/g-°C.
The values for specific heat that are reported in the literature
are usually listed at a specific pressure and/or volume, and you need
to pay attention to these settings when using values from textbooks in
problems or computer models.
Example Problem: If a 2.34 g substance at 22°C with a specific heat of
3.88 cal/g-°C is heated with 124 cal of energy, what is the new
temperature of the substance?
| Answer: |
| ΔT = |
q
 MC
|
|
| ΔT = |
(124)
 (2.34)(3.88)
|
= 13.7°C |
|
| new T = 22 + 13.7 = 35.7°C |
Two other common heat variables are the heat of fusion and the heat of
vaporization. Heat of fusion is the heat required to melt a substance
at its melting temperature, while the heat of vaporization is the heat
required to evaporate the substance at its boiling point.
Chemical work is primarily related to that of expansion. In physics, work is defined as:
w = d × f
Where:
w = work, in joules (N×m) (or calories, but we are using primarily SI units)
d = distance in meters
f = opposing force in Newtons (kg*m/s
2)
In chemical reactions, work is generally defined as :
w = distance × (area × pressure)
The value of distance times area is actually the volume. If we
imagine a reaction taking place in a container of some volume, we
measure work by pressure times the change in volume.
w = ΔV × P
Where:
ΔV is the change in volume, in liters
If ΔV=0, then no work is done.
Example Problem: Calculate the work that must be done at standard
temperature and pressure (STP is 0°C and 1 atm) to make room for the
products of the octane combustion:
2 C8H18 + 25 O2 --> 16 CO2 + 18 H2O
| Answer: |
Knowing that 25 moles of gas are replaced by 34 moles of gas in this reaction, we can calculate a net increase of 9 moles of gas. Knowing the molar volume of an ideal gas at STP (22.4 L/mol), the change in volume and the work of expansion can be calculated dV = 9 moles ∗ 22.4 L/mol = 202 L The external pressure is 1.0 atm (standard pressure), so the work required is: w = dV ∗ P = 202 L ∗ 1.00 atm = 202 l-atm Using the conversion factor of 1 L-atm = 101 J, the amount of work in joules is: w = 202 L-atm ∗ 101 j/L-atm = 2000 J, or 2kJ of energy
|
You might remember the first law of thermodynamics: energy cannot be
created or destroyed. Energy can only change form. Chemically, that
usually means energy is converted to work, energy in the form of heat
moves from one place to another, or energy is stored up in the
constituent chemicals. You have seen how to calculate work. Heat is
defined as that energy that is transferred as a result of a temperature
difference between a system and its surroundings. Mathematically, we
can look at the change in energy of a system as being a function of both
heat and work:
ΔE = q - w
Where:
ΔE is the change in internal energy of a system
q is the heat flowing into the system
w is the work being done by the system
If
q is positive, we say that the reaction is endothermic, that is, heat flows into the reaction from the outside surroundings. If
q is negative, then the reaction is exothermic, that is, heat is given off to the external surroundings.
You might also remember the terms
kinetic energy and
potential energy.
Kinetic energy is the energy of motion -- the amount of energy in an
object that is moving. Potential energy is stationary, stored energy.
If you think of a ball sitting on the edge of a table, it has potential
energy in the energy possible if it falls off the table. Potential
energy can be transformed into kinetic energy if and when the ball
actually rolls off the table and is in motion. The total energy of the
system is defined as the sum of kinetic and potential energies.
In descriptions of the energy of a system, you will also see the phrase
"state properties". A state property is a quantity whose value is
independent of the past history of the substance. Typical state
properties are altitude, pressure, volume, temperature, and internal
energy.
Enthalpy
is an interesting concept: it is defined by its change rather than a
single entity. A state property, the word enthalpy comes from the Greek
"heat inside". If you have a chemical system that undergoes some kind
of change but has a fixed volume, the heat output is equal to the change
in internal energy (q = ΔE). We will define the enthalpy change, ΔH,
of a system as being equal to its heat output at constant pressure:
dH = q at constant pressure
Where:
ΔH = change in enthalpy
We define enthalpy itself as:
H = E + PV
Where:
H = enthalpy
E = energy of the system
PV = pressure in atm times volume in liters
You will not need to be able to calculate the enthalpy directly; in
chemistry, we are only interested in the change in enthalpy, or ΔH.
ΔH = Hfinal - Hinitial or ΔH = H(products) - H(reactants)
Tables of enthalpies are generally given as ΔH values.
Example Problem: Calculate the ΔH value of the reaction:
HCl + NH3 → NH4Cl
(ΔH values for HCl is -92.30; NH
3 is -80.29; NH
4Cl is -314.4)
| Answer: |
| ΔH = ΔHproducts - ΔHreactants |
| ΔHproducts = -314.4 |
| ΔHreactants = -92.30 + (-80.29) = -172.59 |
| ΔH = -314.4 - 172.59 = 141.8 |
We can also represent enthalpy change with the equation:
ΔH = ΔE + P ΔV
Where:
ΔV is the change in volume, in liters
P is the constant pressure
If you recall, work is defined as P ΔV, so enthalpy changes are simply a
reflection of the amount of energy change (energy going in or out,
endothermic or
exothermic),
and the amount of work being done by the reaction. For example, if ΔE =
-100 kJ in a certain combustion reaction, but 10 kJ of work needs to be
done to make room for the products, the change in enthalpy is:
ΔH = -100 kJ + 10 kJ = -90 kJ
This is an exothermic reaction (which is expected with
combustion),
and 90 kJ of energy is released to the environment. Basically, you get
warmer. Notice the convention used here -- a negative value represents
energy coming out of the system.
You can also determine ΔH for a reaction based on bond
dissociation
energies. Breaking bonds requires energy while forming bonds releases
energy. In a given equation, you must determine what kinds of bonds are
broken and what kind of bonds are formed. Use this information to
calculate the amount of energy used to break bonds and the amount used
to form bonds. If you subtract the amount to break bonds from the
amount to form bonds, you will have the ΔH for the reaction.
Example Problem: Calculate ΔH for the reaction:
N2 + 3H2 → 2NH3
(The bond dissociation energy for N-N is 163 kJ/mol; H-H is 436 kJ/mol; N-H is 391 kJ/mol)
| Answer: |
| ΔH = ΔHproducts - ΔHreactants |
To use the bond dissociation energies, we must determine how many bonds are in the products and the reactants. In NH3 there are 3 N-H bonds so in 2 NH3 there are 6 N-H bonds. In N2 there is 1 N-N bond and in 3H2 there are 3 H-H bonds. |
| ΔHproducts = 6(391) = 2346 |
| ΔHreactants = 163 + 3(436) = 1471 |
| ΔH = 2346 - 1471 = 875 |