Alexander Fufaev
My name is Alexander FufaeV and here I will explain the following topic:

Adiabatic Process: How to Describe it with Adiabatic Equation

Formula

Formula: Adiabatic Process
Adiabatic Process in a Pressure-Volume Graph
What do the formula symbols mean?

Pressure before

Unit
Pressure of the ideal gas BEFORE the adiabatic process.

Volume before

Unit
Volume of the ideal gas BEFORE the adiabatic process.

Adiabatic index

Unit
Adiabatic index is the quotient of heat capacities at constant pressure \( c_{\small{\Pi}} \) and volume \( c_{\small{\text V}} \).

For example, for monatomic gas: \( \gamma ~=~ \frac{5}{3} \).

Pressure after

Unit
Pressure of the ideal gas AFTER the adiabatic process.

Volume after

Unit
Volume of the ideal gas AFTER the adiabatic process.
Explanation

Video

The adiabatic equation describes the relationship between the pressure \( \mathit{\Pi}\), volume \( V \) and temperature \( T \) of a gas during an adiabatic process. An adiabatic process is a thermodynamic process in which no heat is exchanged with the environment. This means that the change in the internal energy of the gas is exclusively due to the work performed on or by the gas.

Formula anchor
fufaev.org Adiabatic Process in a Pressure-Volume Graph
Adiabatic Process in a Pressure-Volume Graph
Formula anchor
Formula anchor
fufaev.org Adiabatic Process in a Temperature-Volume Graph
Adiabatic Process in a Temperature-Volume Graph
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fufaev.org Adiabatic Process in a Temperature-Pressure Graph
Adiabatic Process in a Temperature-Pressure Graph