termodinàmica de gas ideal cuadrático positivo

(PV)^{2} + (kT)·(PV) = (kT)^{2}


T(P,V) = ( 1/(2k^{2}) )( kPV+( (kPV)^{2}+4(kPV)^{2} )^{(1/2)} )
T(P,V) = ( 1/(2k^{2}) )( kPV+5^{(1/2)}·kPV )
T(P,V) = ( 1/(2k^{2}) )( (1+5^{(1/2)})·kPV )


T(P,V) = ( (1+5^{(1/2)})/2 )·( 1/k )·PV


P(T,V) = ( 1/(2V^{2}) )( (-1)·kTV+( (kTV)^{2}+4(kTV)^{2} )^{(1/2)} )
P(T,V) = ( 1/(2V^{2}) )( (-1)·kTV+5^{(1/2)}·kTV )
P(T,V) = ( 1/(2V^{2}) )( ((-1)+5^{(1/2)})·kTV )


V(T,V) = ( 1/(2P^{2}) )( (-1)·kTP+( (kTP)^{2}+4(kTP)^{2} )^{(1/2)} )
V(T,V) = ( 1/(2P^{2}) )( (-1)·kTP+5^{(1/2)}·kTP )
V(T,V) = ( 1/(2P^{2}) )( ((-1)+5^{(1/2)})·kTP )


P(T,V) = ( ((-1)+5^{(1/2)})/2 )·k·( T/V )
V(T,P) = ( ((-1)+5^{(1/2)})/2 )·k·( T/P )


d_{P}[ T(P,V) ] = ( (1+5^{(1/2)})/2 )·( 1/k )·V
d_{V}[ T(P,V) ] = ( (1+5^{(1/2)})/2 )·( 1/k )·P


d_{T}[ P(T,V) ] = ( ((-1)+5^{(1/2)})/2 )·k·(1/V)
d_{V}[ P(T,V) ] = (-1)·( ((-1)+5^{(1/2)})/2 )·k·( 1/V^{2} )


d_{T}[ V(T,P) ] = ( ((-1)+5^{(1/2)})/2 )·k·(1/P)
d_{P}[ V(T,P) ] = (-1)·( ((-1)+5^{(1/2)})/2 )·k·( 1/P^{2} )