Answer:
d/dt[mCp(Ts-Ti)] = FCp(Ts-Ti) - FoCp(Ts-Ti) + uA(Ts-Ti)
Step-by-step explanation:
Differential balance equation on the tank is given as;
Accumulation = energy of inlet steam - energy of outlet steam+
heat transfer from the steam
where;
Accumulation = d/dt[mcp(Ts-Ti)]
Energy of inlet steam = FCp(Ts-Ti)
Energy of outlet steam = FoCp(Ts-Ti)
Heat transfer from the steam = uA(Ts-Ti)
Substituting into the formula, we have;
Accumulation = energy of inlet steam - energy of outlet steam+
heat transfer from the steam
d/dt[mCp(Ts-Ti)] = FCp(Ts-Ti) - FoCp(Ts-Ti) + uA(Ts-Ti)