Fundamentals of physical chemistry

Wait for it

Heat capacity	Work
$c_p=\left(\frac{\partial H}{\partial T}\right)_p$	$dW=-pdV$
$c_V=\left(\frac{\partial U}{\partial T}\right)_V$

Laws of thermodynamics

1st	$dU=dQ+dW$
2nd	$ dS= \frac{dQ}{T} $
3rd	$\lim_{T \to 0}=0$

Simplified definitions of energies

$dU=dQ+dW$
$ dH= dU+d(pV) $
$dF=dU-d(TS)$
$dG=dH-d(TS)$
	$dH=TdS-pdV+pdV+Vdp$
	$dF=TdS-pdV-TdS-SdT$
	$dG=TdS+Vdp-TdS-SdT$
	$dH=TdS+Vdp$
	$dF=-pdV-SdT$
	$dG=Vdp-SdT$
$dU=TdS-pdV$
$ dH= TdS+Vdp $
$ dF=-SdT-pdV$
$dG=-Sdt+Vdp$