Th e second law The machinery
The Second Law The Machinery
The Fundamental equations du= tds-pdV dh= tds+ vdp da=-SdT-pdV dg=-sdt+ vdp
The Fundamental Equations • dU = TdS - pdV • dH = TdS + Vdp • dA = -SdT - pdV • dG = -SdT + Vdp
Maxwell relations- Derivation oUOU IS+ dv=-lds+ pdv C S aT C
Maxwell Relations - Derivation 2 2 U S V U V S dU U S dS U V dV TdS pdV T V p S V S S V = = + = − + = −
Maxwell Relations- Summary T OS T OS Os T T S T p
Maxwell Relations - Summary p T V T S p S V p S T V V S T p S V p T S p V T = − = = = −
Thermodynamic eg'n. of state dU=丌nV+CaT
Thermodynamic Eq’n. of State T T T V T V U V T p T p dU dV C dT = − = +