University Physics Volume 2

# Key Equations

### Key Equations

 Equation of state for a closed system $f(p,V,T)=0f(p,V,T)=0$ Net work for a finite change in volume $W=∫V1V2pdVW=∫V1V2pdV$ Internal energy of a system (average total energy) $Eint=∑i(K¯i+U¯i),Eint=∑i(K¯i+U¯i),$ Internal energy of a monatomic ideal gas $Eint=nNA(32kBT)=32nRTEint=nNA(32kBT)=32nRT$ First law of thermodynamics $ΔEint=Q−WΔEint=Q−W$ Molar heat capacity at constant pressure $Cp=CV+RCp=CV+R$ Ratio of molar heat capacities $γ=Cp/CVγ=Cp/CV$ Condition for an ideal gas in a quasi-static adiabatic process $pVγ=constantpVγ=constant$