Thermodynamics Flashcards
What are the forms of energy?
- Kinetic energy
- Potential energy
What is kinetic energy?
The energy that an object or a system possesses due to its motion
Whats kinetic energy and its formula?
What is it related to?
For a particle with mass, m, and a velocity, v, we can evaluate the kinetic energy as:
Ekin= 1/2 MV2
Kinetic energy is related to temperature
Whats potential energy?
The stored energy in an object or system due to its position or configuration
Whats chemical bond energy?
Chemical bond energy is the energy stored in chemical bonds
Tell me if the following release or require energy?
- bond formation
- bond cleavage
Bond formation releases energy
Bond cleavage requires energy
What are the 3 forms of system?
- open system
- closed system
- isolated system
Whats an open system?
Both matter and energy can be transferred between the system and the surroundings
Whats a closed system ?
Only energy can be transferred between the system and the surroundings
Whats an isolated system ?
Neither matter nor energy can be transferred between the system and the surroundings
Whats the simplest system?
Isolated system is the simplest system
Energy and contents in isolated system is constant
Whats the 1st law of thermodynamics?
The sum of energies of a system and its surroundings remain constant
- energy cannot be created or destroyed
- energy can only be transferred between different forms
Give a real world example of the 1st law of thermodynamics?
Real world example of this:
- Dam (or waterfall). Raises the water level of the river to create falling water. The reservoir that is formed is, in effect, stored energy.
- Turbine. The force of falling water pushing against the turbine’s blades causes the turbine to spin. The turbine converts the kinetic energy of falling water into mechanical energy.
- Generator. Connected to the turbine by shafts. When the turbine spins the generator will also spin, converting the mechanical energy from the turbine into electrical energy
stored (potential) energy → kinetic energy → mechanical energy → electrical energy

The energy derived from pressure and volume change is given by what?
E= pV (a type of work)
Define enthalpy, H?
H= U + pV
Whats the formula for the change of enthalpy of a system?
∆H= ∆U + ∆(pV)
since in biology most measurements are made at constant pressure, p=pconst we can assume there is no change in p. Therefore…?
∆ (pV) = p∆V (for constant p)
Whats the formula for internal energy?
How can work be described? With this define ∆H?
∆U = w + q
w= -∆(pV)
w= p∆V
therefore;
∆H= w + q + p∆V
∆H= -p∆V + q + p∆V
∆H= q
Whats an endothermic reaction?
- Heat flowing into a system from its surroundings is defined as positive, (+q)
- A process that absorbs heat from the surroundings is called endothermic.
- So, the system gains heat, the surroundings cool down.

Whats an exothermic reaction?
- When the heat flows out of the system into the surroundings, the heat flow is given a negative value (-q)
- A process that gives heat to the surroundings is called an exothermic process.
- The system loses heat, whereas the surroundings heat up.

Give an example of a real world example of an endothermic and exothermic reaction?
Ice melting= endothermic process
Explosion= exothermic process
Whats the 2nd law of thermodynamics?
In an isolated system the entropy can only ever increase.
If i have a closed system, I need to evaluate the entropy of the system and the surroundings
What are the quantities describing a system and examples?
Macrostates: Temperature, Pressure, Volume
Microstates: Kinetic energy, Force, Velocity
e.g. assign mass, velocity, position for any particle in a system at any time
What can macrostates be described as?
A collection of microstates
Whats the definition of equilibrium?
Macrostates do no change over time (necessary condition for macrostate to be well-defined)
In contrast microstates can be specified at any time
Whats entropy, S?
It is defined by the number of microstates, Ω, of a system
Whats the number of microstates at a given total energy described as?
Ω(E)
The Boltzmann constant is: kB = 1.38064852 × 10-23 m2 kg s-2 K-1
Whats the formula relating entropy and the boltzmann constant?
S= KB ln(Ω)
What does the microscopic state refer to?
The exact states of all the molecules making up the system
Whats the formula for Clausius inequality?
∆S ≥ ∆q/T
∆q= heat exchange
T= temperature of the heat exchange
Describe ∆q in either reversible or irreversible processes?
∆q in reversible process: ∆S= ∆q/ T (this is the definition of entropy)
∆q is irreversible process: ∆S > ∆q/T
Whats the formula for gibbs free energy?
∆G= ∆H - T∆S
For a reaction to be spontaneous, what must ∆G be?
negative
Whats the formula for the relation between ∆G and the equilibrium constant, Kc?

Example reactions

Whats the Chemical potential,µ, of the system?
The free energy per mole of that compound under a given set of conditions
What is µ also referred to as?
The partial molar Gibbs free energy
Chemical potential is an intensive state function that is independent of the system size.
What is meant by a state function?
a quantity in thermodynamics, such as entropy or enthalpy, that has a unique value for each given state of a system
The useful measure of the average energy of a molcule depends only on what?
environment, not system size
Whats the chemical potetial definition for a one component system?
µ= G/n
OR
G= µn
(n is the number of moles)
Whats the chemical potetial definition for a multicomponent system?
G= ∑xµxnx
It is the sum of the chemical potentials of all the species present
The change in free energy for removal of reactants is described as what?
Here ∆n is negative (nunber of moles of reactant is decreasing)

The change in free energy for addition of products is described as what?
Here ∆n is positive (number of moles of product is increasing)

Whats the equation for the sum of two expressions to get the overall change in free energy?

Complete this calculation…
Given the chemical potentials of ATP, AMP, Pi and H2O, what is the free energy change for the hydrolysis of one mole of ATP to AMP?

Here is a simple reaction; A⇔B
Use this equation to write the free energy equation?
How will the reaction be spontaneous?
A⇔B
This can be written as; ∆G = µBn - µAn
If µB is less than µA, then ∆G will be negative and the reaction will be spontaneous: as the µB and µA are positive
Here the criterion for spontaneous change is lowering of the chemical potential.
Equilibrium occurs when the chemical potentials are equal (µB=µA)
For this complex reaction; aA + bB ⇔ cC + dD
Whats the equation for the free energy?
What are the conditions for a spontaneous change?
Free change energy is given by: ∆G= µx∆nx= cµc + dµD - aµA - bµB
For a spontaneous change cμc + dμD must be less than aμA + bμB
What is a spontaneous change?
The weighted sum of the chemical potentials can be lowered
Whats an equilibrium?
The weighted sums of chemical potentials for reactants and products are equal
Whats the equation that relates free energy of an ideal gas to its pressure?
G=G° + nRTlog(P/P°)
Whats the equation for a pure compound that relates the free energy of an ideal gas to its pressure?
Recall that μ for a pure compound is equal to G/n
μ =μ°+ RTlog(P/P°) ⇒ divided the above equation by n to get this
The equation for µ can be extended to one component of a mixture of ideal gases, what is this equation?
μ =μx°+ RTlog(Px/P°x)
Here Px is the partial pressure of x (the pressure exerted by x). The total pressure would be the sum of the partial pressures of all different gases in the mixture
is free energy dependent on concentration?
yes
Consider the multi-component reaction; aA + bB ⇔ cC + dD
Whats the equation that describes the relationship between the free energy and the change in concentration of the components?

For convenience, the term [Product]/[reactants] is often referred to as the mass action ratio. What symbol is this given ?
it is given the symbol, Γ

Whats the equation for free energy, involving the mass action ratio, when the reaction is not in equilibrium?
ΔG=ΔG° + RTlogeΓ
At equilibrium, ∆G=0, the mass action ratio at equilibrium is called the equilibrium constant, K. Whats the equation for free energy now?
ΔG°= -RTlogeK
What are the units for K and Γ?
They don’t have units
Are Loge and ln equal?
yes
Recall that the equilibrium constant of a reaction also varies with temperature (the position of the equilibrium is affected by temperature).
We have also seen the following equations, combine then to work out LogeK?


Draw the graphs for the exo- and endothermic reactions with LogeK on the y-axis and 1/T (1/K) on the x-axis.
Whats the gradient?
Whats the intercept?
- Should produce a straight line
- Negative slope for -∆H˚/R, then it is an endothermic reaction
- Positive slope for -∆H˚/R, then it is an exothermic reaction
- Never really hit zero and otherwise it’s a very high temperature being used
- Intercept corresponds to infinite temperature

Whats the Van’t Hoff isochore?

How can the total free energy, ∆G, of a system be obtained?
By adding together the chemical potentials multiplied by the amount of all the components of the system
The variation of ∆G with concentration for a reaction is related to what?
The mass action ratio