This topic explores the internal energy of systems, focusing on the kinetic and potential energy of molecules. It introduces the first law of thermodynamic
Topic Synopsis
This topic explores the internal energy of systems, focusing on the kinetic and potential energy of molecules. It introduces the first law of thermodynamics, the concept of thermal equilibrium, and the calculation of work done by gases, alongside specific heat capacity for solids and liquids.
Key Concepts & Core Principles
- Mass defect and binding energy: The mass of a nucleus is less than the sum of the masses of its individual protons and neutrons. This mass defect is converted into binding energy, which holds the nucleus together. The binding energy per nucleon is a measure of nuclear stability.
- Nuclear fission: A heavy nucleus (e.g., uranium-235) splits into two smaller nuclei when it absorbs a neutron, releasing energy and 2-3 neutrons. The products are often radioactive and have a higher binding energy per nucleon, so energy is released.
- Chain reaction: In a fission reaction, the neutrons released can go on to cause further fissions. If at least one neutron from each fission causes another fission, a self-sustaining chain reaction occurs. This is controlled in a reactor using control rods (e.g., boron or cadmium) that absorb neutrons.
- Moderator and coolant: A moderator (e.g., graphite or water) slows down neutrons to increase the probability of fission. A coolant (e.g., water or carbon dioxide) transfers heat from the reactor core to the steam generator, preventing overheating.
- Nuclear fusion: The combining of light nuclei (e.g., hydrogen isotopes) to form a heavier nucleus, releasing energy. Fusion requires extremely high temperatures and pressures (as in the Sun) and is not yet commercially viable on Earth.
Exam Tips & Revision Strategies
- Always check the sign convention for the first law of thermodynamics (ΔU = Q - W) carefully
- When calculating work from a p-V graph, ensure the area is calculated correctly, especially if the graph is non-linear
- Remember that for solids and liquids, the change in internal energy is essentially equal to the heat added
- Be prepared to interpret negative values for ΔU, Q, and W in the context of energy transfer
Common Misconceptions & Mistakes to Avoid
- Confusing internal energy with heat or temperature
- Incorrectly assigning signs to Q and W in the first law of thermodynamics
- Assuming work done is always pΔV even when pressure is not constant
- Failing to recognize that work is negligible for solids and liquids in thermal processes
Examiner Marking Points
- Internal energy as the sum of potential and kinetic energies of molecules
- Absolute zero as the temperature of minimum internal energy
- Internal energy of an ideal monatomic gas as U = 3/2 nRT
- Heat as energy in transit between systems of different temperatures
- Thermal equilibrium defined by no net heat flow between systems at the same temperature
- Work as energy in transit, calculated as W = pΔV for constant pressure
- Work done as the area under a p-V graph for varying pressure
- First law of thermodynamics: ΔU = Q - W