Work of ideal gas in isothermal process

The isothermal process of expansion (or compression) of a gas can occur under conditions where heat exchange between the gas and the external environment is carried out at a constant temperature. To do this, the heat capacity of the external environment must be large enough, and the expansion (or compression) process must be slow enough.

Notation:

1. \(R\) (R) is molar_gas_constant.

Conditions:

1. The gas is ideal. See Ideal gas equation.

2. The temperature of the gas stays constant during the expansion.

Links:

1. Wikipedia.

work

work done by the ideal gas during the isothermal process.

Symbol:

W

Latex:

\(W\)

Dimension:

energy

amount_of_substance

amount_of_substance of ideal gas.

Symbol:

n

Latex:

\(n\)

Dimension:

amount_of_substance

initial_volume

Initial volume of the gas.

Symbol:

V_0

Latex:

\(V_{0}\)

Dimension:

volume

final_volume

Final volume of the gas.

Symbol:

V_1

Latex:

\(V_{1}\)

Dimension:

volume

temperature

temperature of the gas.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

law

W = n * R * T * log(V_1 / V_0)

Latex:

\[W = n R T \log \left( \frac{V_{1}}{V_{0}} \right)\]