A liquid solution is passed steadily through an infrared radiative oven to sterilize it. The system is horizontal (no elevation change), and the velocities are small. Furthermore, the density of the liquid can be considered to be constant, and evaporation of the solution is negligible. The following are given:

a. Derive an expression for the difference between the outlet temperature and the inlet temperature of the liquid.
b. Does your solution make intuitive sense? In other words, do the radiant heat provided by the oven, the flow rate, and the heat capacity affect the temperature rise as you would expect?

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Volumetric flow rate V Density P (same for inlet and outlet streams) (same for inlet and outlet streams) Average heat capacity Cp (same for inlet and outlet streams) Reference temperature Tref (same for inlet and outlet streams) Inlet temperature Tin Tout Outlet temperature