Relations of Laplace

The three relations of Laplace are expressed by:

\ qquad p.V^ \ gamma = constant

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

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

Where

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

With

$\ displaystyle C_P$ : isobar Heat capacity
$\ displaystyle C_V$ : isochoric Heat capacity

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

Random links: