Thermodynamics and kinetic theory

Physics · Heat, electricity and light. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

The four laws set the rules for heat and work. The zeroth law defines temperature. The first law is conservation of energy for a system that exchanges heat and work. The second law gives the direction of natural processes: heat flows by itself only from hot to cold, and no engine can turn all the heat it takes in into work. The third law says absolute zero cannot be reached in a finite number of steps.

Entropy measures disorder, or the energy no longer available for work. In an isolated system it never decreases.

Kinetic theory explains gas pressure by molecules striking the walls. The absolute temperature measures the mean translational kinetic energy of the molecules.

Rules to remember

Common mistake

Using temperatures in °C in the gas laws or the Carnot formula. Convert to kelvin first (add 273), or every ratio comes out wrong.

Worked example

A Carnot engine works between 227 °C and 27 °C and takes in 1000 J of heat per cycle. Find its efficiency, the work done and the heat rejected.

  1. Convert: Thot = 227 + 273 = 500 K; Tcold = 27 + 273 = 300 K.
  2. Efficiency = 1 − 300 ÷ 500 = 0.40 (40%).
  3. Work done = 0.40 × 1000 = 400 J; heat rejected = 1000 − 400 = 600 J.
  4. Check with entropy: 1000 ÷ 500 = 2 J K−1 in and 600 ÷ 300 = 2 J K−1 out, as a reversible cycle needs.

Answer: 40%; 400 J of work; 600 J rejected.

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