Under what conditions if any are the following expressions v

Under what conditions, if any, are the following expressions valid (i.e. never, always, sometimes (when))? delta S = integral delta Q/T_int + S_gon w = delta h = v delta P dh = C_p (T) dT Q - W = dE_cv/dt + sigma sigma (m(h + ke + pe)) - sigma sigma (m(h + ke + pe)) sigma sigma (N(h)) = sigma sigma (N(h)) C_p = C_y + R delta Q - delta W = dE = dKE

Solution

equation 2) used for entropy balance of closed system when only heat transfers occurs between system and surrounds and also entropy generation associated with heat transfer so balancing entropy change of system equals to entropy due to heat transfer + entropy generation

equation 3) used for reversible steady flow work for example work input to pump

equation 4) for ideal gas any process but for any other constant pressure process

equation 5) it is energy balance equation of control volume system can be applied systems like turbine, pump,nozzle,compressor,heat exchangers and throttle valve etc

equation 6) used enthalpy formation in reaction systems like combustion

equation 7) this is used for ideal gas only

equation 8) can be used for any process either reversible or irreversible procees and for any systems where change of energy of system due kinectic energy only