The first law The machinery C Stephen L. Davis, 2003
The First Law The Machinery © Stephen L. Davis, 2003
Exact differentials ifz= f(, y)is an exact differential Bf dx af dy Ox) dz dX
Exact Differentials dx dy dz if z = f(x, y) is an exact differential, dz = f x dx f y dy y x +
Internal Energy Changes U=/ oU + T du=Id+ cr dt where I=0 for an ideal gas
Internal Energy Changes dU U V dV U T dT dU dV C dT T V T V T = + = + = where 0 for an ideal gas
Thermodynamic ea'n of state P
Thermodynamic Eq’n of State p T p T V T − =
Expansion Coefficient tIny △全F△T, assuming constant a orlm(/7)=∫ad7
Expansion Coefficient = = 1 0 0 V V T V T V V T V V dT p p T T ln , ln( / ) assuming constant or