termodinàmica de gas ideal

PV = kT


T(P,V) =  (1/k)·PV


P(T,V) =  k·( T/V )
V(T,P) =  k·( T/P )


d_{P}[ T(P,V) ] = (1/k)·V
d_{V}[ T(P,V) ] = (1/k)·P


d_{T}[ P(T,V) ] = k·(1/V)
d_{V}[ P(T,V) ] = (-1)·k·( 1/V^{2} )


d_{T}[ V(T,P) ] = k·(1/P)
d_{P}[ V(T,P) ] = (-1)·k·( 1/P^{2} )