- Ideal Gas Law
![](PChem1.gif)
P is the pressure
V is the volume
n is the amount of gas
R is the Real Gas constant, with units appropriate for the units of
pressure, volume, temperature, and amount of gas.
T is the temperature (in Kelvin because an
absolute scale
is necessary.)
Noggle- 3
- The Van Der Waals Equation
![](PChem2.gif)
The constant a accounts for the attractive forces
between gas molecules; PV=nRT assumed there were no attractions
whatsoever.
The constant b accounts for the volume taken up by
the gases; PV=nRT assumed gases to be points of infinitismally small
volume.
V(m) is volume divided by amount in moles
Noggle- 5
- The Root Mean Square Speed of a Gas
![](PChem3.gif)
u is the root-mean-square speed
R is the Real Gas constant, with units appropriate for the units of
pressure, volume, temperature, and amount of gas.
T is the temperature
M is the molar mass
Noggle- 32
- The Coefficient of Thermal Expansion
![](PChem4.gif)
alpha is the coefficient of thermal expansion
V is the volume
delta V is the change in volume
delta T is the change in temperature
P is the pressure and it is held constant
Noggle- 59
- The Isothermal Compressibility
![](PChem5.gif)
kappa(T) is the isothermal compressibility
V is the volume
delta V is the change in volume
delta P is the change in pressure
T is the temperature, and it is held constant.
Noggle- 71
- Heat Capacity at Constant Volume
![](PChem6.gif)
C(v) is the heat capacity at constant volume
q is the quantity of heat given off
T is the temperature
V is the volume
Noggle- 71
- Molar Heat Capacity
![](PChem7.gif)
C(vm) is the molar heat capacity (constant volume)
n is moles
Noggle- 72
- Work of Pressure
![](PChem8.gif)
F is force
x is a one dimensional coordinate
A is area
V is volume
P(ex) is the pressure which opposes expansion
Noggle- 81
- Heat Capacity
![](PChem9.gif)
C(p) is Heat Capacity at Constant Pressure
H is enthalpy
P is pressure
U is internal energy
V is volume
T is the temperature
Noggle- 86
- Entropy of Mixing for Two Gases
![](PChem10.gif)
Delta (mix) S is the entropy of mixing for two gases
n is moles
R is the real gas constant
X is the mole fraction of the gas
Noggle- 136
- Joule-Thompson Coefficient
![](PChem11.gif)
mu is the Joule Thompson coefficient
H is the enthalpy
P is the preaasure
T is the temperature
Noggle- 109
- Equation for Entropy, Heat, and Temperature
![](PChem12.gif)
rev indicates the equation is valid only for a reversible
process
q is the heat
S is the entropy
T is the temperature
Noggle- 128
- Equation 13 was a repeat of 10- This space available for
a different equation.
- Clapeyron Equation
![](PChem14.gif)
Delta phi X is the heat required at constant pressure and
constant temperature, to effect a phase change
P is pressure
T is temperature
Delta phi V is the change in molar volume
Noggle- 175
- 2
- Change in Enthalpy with Temperature and
Change in Heat Capacity with Temperature
![](PChem16.gif)
Delta (rxn) H(T) is the change in the enthalpy of a reaction at
a specified temperature
Cp is the heat capacity at a constant pressure
T is the temperature
Noggle- 280
- Law of Mass Action(the reaction equality is
the Van't Hoff Equation)
![](PChem17.gif)
Small case variables (a,b,c,d) are stoichiometric coefficients
Large case variables (A,B,C,D) are chemical species
C and D are products, and A and B are reactants
K(a) is the thermodynamic equilibrium constant
Notice that what involves addition and subtraction in one
equation relates to multiplication and division in the other
Noggle- 286
- K(a) is the thermodynamic equilibrium constant
![](PChem18.gif)
Delta(f)G phi is the standard free energy of formation
K(a) is the thermodynamic equilibrium constant
R is the Real Gas constant
T is temperature
Noggle- 291
- Enthalpy, Free Energy, and Temperature at Constant Pressure
![](PChem19.gif)
G is Free Energy
H is enthalpy
P is pressure
T is temperature
Noggle- 295
- Thermodynamic Equilibrium, Enthalpy, and Temperature
![](PChem20.gif)
Delta(rxn)H(phi) is the change in enthalpy from the reaction
K(a) is thermodynamic equilibrium
T is temperature
Noggle- 298
- Gibbs' Phase Rule
![](PChem21.gif)
c is the number of components (I think this means c different 'types'
of components--hey, components is a nebulous word, so I'll try to
find an example of what it means
F is the degrees of freedom
p is the number of phases
Noggle- 339
- Gibbs-Duhem Equation
![](PChem22.gif)
d mu is the change in chemical potential
n is the number of moles
Noggle- 356
- Reduced Mass
![](PChem23.gif)
mu is the reduced mass
m is the mass of one of the two objects
Noggle- 1057
- 11 was a repeat--PChem24.gif is available for a new
equation
- Half Life Equation
![](PChem25.gif)
t is time
k is the "half life constant" (no specific name found)
Noggle- 521
- Arrhenius Activation Energy Equation
![](PChem26.gif)
E(a) is the Arrhenius activation energy
k is the "rate constant" (no specific name found)
R is the Real Gas constant
T is the temperature
Noggle- 528
- The Integrated form of the
Arrhenius Activation Energy Equation
![](PChem27.gif)
E(a) is the Arrhenius activation energy
k is the "rate constant" (no specific name found)
R is the Real Gas constant
T is the temperature
Noggle- 528
- Arrhenius Equation Solved for k
![](PChem28.gif)
E(a) is the Arrhenius activation energy
k is the "rate constant" (no specific name found)
R is the Real Gas constant
T is the temperature
Noggle- 529
- A repeat of an equation
PChem29.gif is now available for a new equation
- Michaelis-Menton Equation
![](PChem30.gif)
v is the velocity of the overall (biochemical) reaction
v(max) is the
maximum velocity
the reaction could achieve
K(m) is the Michaelis constant
[S] is the substrate concentration
Noggle- 582
- DeBroglie Equation
![](PChem31.gif)
Lambda is wavelength of the object
h is Planck's constant
m is the mass of the object
v is the velocity of the object
Noggle- 614
- Definition of the Commutator
![](PChem32.gif)
x and d are operators, as signified by the "carrot" symbol
f(x) is a generic function
[d,x] represents the commutator of variables d and x
Noggle- 618
Last Update- December 19, 1994- wld