In a food processing industry, hot water and cold water are mixed in a mixing chamber
to produce a continuous supply of warm water. Hot water with a specific enthalpy of
420 kJ/kg and cold water with a specific enthalpy of 105 kJ/kg are mixed in the mixing
chamber to produce 3.5 kg/s of warm water with a specific enthalpy of 293 kJ/kg.
Assuming no heat is lost to its surroundings and the change in potential energy and
kinetic energy are negligible. Determine the mass flow rate of the hot water and the
cold water.