Thermo Exam 2 Cheat Sheet

Thermo Exam 2 Cheat Sheet - • Change in Specific...

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Specific Volume of a Two Phase Liquid-Vapor Mixture: = + ( - ) v vf x vg vf Internal Energy of a Two Phase Liquid-Vapor Mixture: = + ( - ) u uf x ug uf Enthalpy of a Two Phase Liquid-Vapor Mixture: = + ( - ) h hf x hg hf Entropy of a Two Phase Liquid-Vapor Mixture: = + ( - ) s sf x sg sf Enthalpy (H) mass basis… = + H U pV where U=internal energy, p=pressure, V=volume per unit mole…. = + h u pv For Pure Simple Compressible Substances [ Specific Heats]: =(∂ ∂ ) cv u T v SI Units: kJkg∙K =(∂ ∂ ) cp h T p SI Units: kJkg∙K For Ideal Gases: = cp∙cv R where R=gas constant = k cpcv Approximating values for , , v u and h at liquid states at the temperature: , = vT p vfT , = uT p ufT , = ( ) hT p hf T Incompressible Substance Model: = cvT dudT the specific internal energy of a substance depends only on temperature, specific heat is also a function of temperature , = + hT p uT pv For a substance modeled as incompressible, the specific heats cv and cp are equal Change in Specific Internal Energy: - = u2 u1 T1T2cTdT and - = ( - ) u2 u1 c T2 T1
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Unformatted text preview: • Change in Specific Enthalpy: -=-+ (-) h2 h1 u2 u1 v p2 p1 and -= (-)+ (-) h2 h1 c T2 T1 v p2 p1 • Universal Gas Constant: = . R 8 314 kJkmole∙K and = R RM • Ideal Gas Model: • = pv RT • = pV mRT with = v Vm • = pv RT using = v vM and = R RM and = M molecular weight • = pV nRT using = v Vn • Change in Specific Internal Energy: -= uT2 uT1 T1T2cvTdT • Change in Specific Enthalpy: -= hT2 hT1 T1T2cpTdT • = + cpT cvT R • = + cpT cvT R • when = ( ) ( ) k cp T cv T … =-cpT kRk 1 and =-cvT Rk 1 •- ( )= (-) uT2 u T1 cv T2 T1 •- ( )= (-) hT2 h T1 cp T2 T1 • Polytropic Process: • = pVn constant • = p1V1n p2V2n so =( ) p2p1 V1V2 n • = =--W 12p dV p2V2 p1V11 n • For Constant Pressure: = = (-) W 12pdV P V2 V1 • Isothermal Process: = = ( ) W P1V1lnV2V1 mRTln V2V1 • 1 st Law of Thermodynamics for a Closed System: -=-+ + Q W mu2 u1 ∆KE ∆PE ….neglect KE and PE (they go to 0) •...
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Thermo Exam 2 Cheat Sheet - • Change in Specific...

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