Entropy

Entropy of an ideal gas

Consider moles of an Ideal gas with temperature and molar volume . Its entropy is then where

is its molar entropy.

Thermodynamic derivation

By the ^Quasistatic and Energy of an ideal gas we have

for a quasistatic process with a fixed number of moles. The heat added per mole is then

Applying the Ideal gas law and dividing by temperature gives

where is an undetermined constant. Note the unitful logarithms are dealt with by the constant.

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