p-V Diagrams

Physics: AQA A Level, topic 11.2.3

Pressure-Volume graphs

A pressure-volume graph is a method of showing gas expansion and compression.

Expansion and compression

Expansion and compression

  • An expansion will have an increasing volume, a compression will have a decreasing volume.
  • Isotherms are curved lines of constant temperature.
Isotherms and adiabats

Isotherms and adiabats

  • Isothermal lines and adiabatic lines are both curved lines.
  • Adiabatic lines are steeper than isothermal lines.

Types of p-V diagrams

Many quantities are represented on a p-V diagram.

Work

Work

  • The work done on a p-V graph is the area under the line.
  • If the process is a cycle the work done in the cycle is the area of the loop.
Cycles

Cycles

  • Cycles are closed loops.
  • Work is done around a cycle but the internal energy is the same at the start and the end.

Test yourself on p-V Diagrams

  • Which of these statements about p-V diagrams are true?

  • What shape are adiabatic lines?

  • How can the work done on a gas be found from a p-V diagram?

  • Which of these statements about p-V diagrams are true?

  • The total internal energy of a system is the same at the start and end of a cycle. How much work has been done?

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