CE60017 - Sustainable Energy Technologies Flashcards
What’s a redox reaction?
A reaction involving electron transfer, with a species being oxidised and another being reduced.
Define oxidation and reduction:
Oxidation: loss of e- and increase in oxidation state
Reduction: gain of e- and a decrease in oxidation state
What are the equations for:
Li-ion batteries
Electrolysers
Fuel cells
CO2 reduction
Li-ion batteries
LiCoO2 + C6 → CoO2 + LiC6
Electrolysers
2H2O → 2H2 + O2
Fuel cells
2H2 + O2 → 2H2O
CO2 reduction
CO2+H2 → HCOOH
Define anode and cathode:
During discharge, the positive is the cathode and the negative is the anode.
During charging, the positive is the anode and negative is the cathode.
Anode - where oxidation occurs
Cathode - where reduction occurs
What’s the difference between galvanic and electrolytic cells?
Galvanic:
Spontaneous reactions
dG < 0
Electrons are spontaneously formed at anode
Electrons are supplied by the reaction
Electrolytic:
Non spontaneous
dG > 0
Electrons supplied to cathode to drive reaction
Electrons supplied by an external battery
What is absolute potential?
The amount of electric potential energy carried by a unitary point charge located at a specific point.
Or
The Work needed to move a unit positive charge from infinity to a specific point
The absolute potential cannot be measured - we always use relative potentials, i.e. the difference between the potential at two electrodes
The most common “reference potential” is the Standard Hydrogen Electrode (SHE), which is the potential of the redox couple H+/H2
So, clearly, the potential at which hydrogen can be reduced or oxidized is 0V.
How is cell potential calculated?
V.cell = V (reduction at cathode) - V (reduction at anode)
A reaction is spontaneous if
Vcell > 0
Pros and cons of batteries:
Pros:
High Round-trip efficiency (i.e. Ratio between the energy you get out of a battery and the energy you put into it)
Easily scalable
Relatively high energy density
Cons:
Expensive
Energy and power density are intrinsically coupled
Self-discharge
Efficiency loss over time
Requirement of critical metals
What’s a half cell and full cell?
A half-cell is a single electrode in an electrochemical cell, while a full cell is a complete electrochemical cell that consists of two half-cells connected by a salt bridge.
The electrode potential of a half-cell is determined by the energy required to move ions from the half-cell to the solution, and vice versa.
Looking at a half cell…
Testing the electrode of interest against the metal (for example lithium)
Since Li/Li+ has a potential of 0, it allows you to look at only the potential of lithium insertion at the electrode of interest
You have an abundance of Li available, which means you are not limited by it and can look at limitations at the electrode of interest only.
Looking at full cell…
Testing the battery with the cathode and anode of interest
The voltage we measured (cell potential) is affected by both anode and cathode.
The effect of anode and cathode cannot be deconvoluted
It measures the performance of a real battery.
Useful to find out how different parts of battery perform.
Properties of coin cells:
Small area,
One cathode, one anode,
Single-sided electrodes,
Large void space requires more electrolyte,
Low currents.
Properties of pouch cells:
Larger area,
Multiple stacked electrodes,
Often double-sided electrodes,
Minimal void space requires less electrolyte,
Higher currents.
What is the difference between battery capacity (or charge), power, and energy?
Battery capacity (or charge): Total charge that can be stored in a battery (Ah)
Power: the power that can be delivered is the product of the current (measured in A) and the cell potential (measured in V)
Power is measured in W = V x A
Energy: the total energy stored in a battery is the integral of the supplied power over time
Energy if measured in Wh= V x Ah
1Wh=3600 J
What is DoD and SoD?
Depth of discharge (DoD) = the amount of charge (capacity) extracted compared to the total amount (at the same discharge rate) – expressed in fraction or percentage
State of charge (SoC) = the amount of charge (capacity) still available to extract compared to the total amount (at the same discharge rate)
SoC = 1-DoD
How is state of charge (SoC) found?
SoC = 1-DoD
Depth of discharge (DoD) = the amount of charge (capacity) extracted compared to the total amount (at the same discharge rate) – expressed in fraction or percentage
State of charge (SoC) = the amount of charge (capacity) still available to extract compared to the total amount (at the same discharge rate)
How is theoretical charge (in mAh/g) calculated?
Q = nF/3.6M
Where:
n - number of electrons
F - Faraday constant (96485 C/mol)
M - molecular mass
3.6 is the conversion factor, 1 C = 0.28 mAh
For example, if CoO2 is used as an electrode for Li –ion batteries, the reaction is
LiCoO2→Li+ +e− + CoO2
Each LiCoO2 (M=98g/mol) can store 1 electron (n=1) so the theoretical capacity is:
Q=1*96485/3.6/98= 274 mAh/g
By convention, when calculating the theoretical capacity of the cathode, we include the weight of litihium, when doing it with the anode we don’t.
How is power calculated?
P = IV
(Then energy (E) = capacity (Ah) * cell potential (V))
How is gravimetric energy density calculated?
Gravimetric energy density = cell potential (V) * gravimetric capacity (Ah/g)
The gravimetric capacity can be maximized by finding lighter materials, that can store a charge with a smaller weight.
The cell potential can be maximized by choosing cathode and anode materials with the biggest potential difference possible.
What is cell potential?
The cell potential is determined by the difference in potential between the anode and the cathode.
To maximize the cell potential, we should choose the anode with the lowest possible voltage and the cathode with the highest possible one.
How are batteries tested?
Electron flow is provided and the electric potential is measured.
Batteries are tested galvanostatically, i.e. at constant current (i.e. With a constant flow of electrons) and the potential is measured.
In an ideal battery:
- The cell potential is equal to the standard cell potential (4.1 in this case)
- The cell potential is constant over time
- The charge potential is equal to the discharge potential (4.1V in this case)
- What current we apply while measuring the potential (i.e. How fast we charge/discharge) doesn’t affect the total charge.
Once the battery has been fully charged or discharged, the potentiostat will keep changing the potential to maintain the current, this current will not be the effect of charging discharging the battery anymore, but will come from degradation of the battery. For this reason, we need to stop the experiment before this happens, using a CUT-OFF potential.
How does the charge-discharge curve behave for a real battery?
The cell potential is lower than the theoretical value during discharge.
You get less energy out of the battery.
The difference between theoretical and real is called overpotential.
The cell potential changes with the state of charge (or time)
What current we apply while measuring the potential (i.e. How fast we charge/discharge) has an impact on the total charge.
What is overpotential?
The difference between the theoretical cell potential and the experimental one.
Why are there differences between electrode potential / what causes overpotential?
Polarisation losses V=E-iR
(Polarization losses are proportional to the current we draw (i), and are caused by the resistance of the electrolyte to the flow of ions.
The proportionality constant is R, also known as ohmic resistance)
Electrode / Activation overpotential
(The activation overpotential is characteristic of an electrode and is due to kinetics limitation to the charge transfer process
(i.e. Kinetics limitation for Li+ to become LiC6))
Electrode overpotential - concentration overpotential
(The concentration overpotential is due to depletion of the reactant next to the electrode surface.
It is essentially a measure of the «extra driving force» needed to transport the reactant (Li+) to the surface))
What is the C-rate?
How fast we can charge/discharge a battery.
C-rate = 1 / time to charge or discharge
The higher the C-rate (i.e. the faster we discharge) the shorter the duration of discharge will be.
For an ideal battery, although the time is different, the capacity (i.e. the product of current and time) should be the same
In reality, as we will see, the capacity decreases the faster we charge/discharge.
How is coulombic efficiency found?
Q (charge) / Q (discharge) *100