Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
A hydrogen fuel cell is an electrochemical cell that converts the chemical energy of a fuel, hydrogen (), and an oxidizing agent, oxygen (), into electricity through a pair of redox reactions.
Unlike a battery, which stores a finite amount of energy, a fuel cell produces electricity continuously as long as fuel () and oxidant () are supplied.
At the anode (negative electrode), oxidation occurs. Hydrogen gas molecules lose electrons to form hydrogen ions ().
At the cathode (positive electrode), reduction occurs. Oxygen gas reacts with the hydrogen ions and the electrons arriving from the external circuit to form water ().
The movement of electrons from the anode to the cathode through an external circuit creates the electric current used to power devices.
The only product of the reaction is water (), meaning there are no pollutant emissions like carbon dioxide () or nitrogen oxides () at the point of use.
Major disadvantages include the high cost of catalysts like platinum, the difficulty of storing highly flammable hydrogen gas () at high pressure, and the fact that most hydrogen is currently produced from fossil fuels like methane ().
📐Formulae
💡Examples
Problem 1:
Calculate the total number of electrons transferred when mol of hydrogen gas () is completely reacted in a fuel cell.
Solution:
From the anode half-equation, moles of produce moles of electrons (). The total number of electrons is electrons.
Explanation:
The oxidation half-equation is . This shows a molar ratio between and . Therefore, moles of release moles of electrons. Using Avogadro's constant (), we find the total particle count.
Problem 2:
State the change in the oxidation state of oxygen in a hydrogen fuel cell reaction.
Solution:
The oxidation state of oxygen changes from in to in .
Explanation:
In its elemental form (), the oxidation state of oxygen is . In the product water (), oxygen is more electronegative than hydrogen and takes an oxidation state of . Because the oxidation state decreases, oxygen undergoes reduction.