# Relations of Laplace

The three relations of Laplace are expressed by:

$\ qquad p.V^ \ gamma = constant$

$\ qquad T.V^ \left\{\ gamma -1\right\} = constant$

$\ qquad T^ \ gamma.p^ \left\{1 - \ gamma\right\} = constant$

Where

• p: Pressure of a gas.
• V: Volume of a gas.
• $\ gamma = \ frac \left\{C_P\right\} \left\{C_V\right\}$
With

The relations of Laplace are valid in the case of an isentropic transformation of a perfect gas, i.e. of an adiabatic and reversible transformation. It is also supposed that $\ displaystyle \ gamma$ does not depend on the temperature.

Category: Thermodynamics

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