Figure P4.84 provides steady-state data for the ducting

Chapter 4, Problem 4.84

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Figure P4.84 provides steady-state data for the ducting ahead of the chiller coils in an air-conditioning system. Outside air at \(90^{\circ} \mathrm{F}\) is mixed with return air at \(75^{\circ} \mathrm{F}\). Stray heat transfer is negligible, kinetic and potential energy effects can be ignored, and the pressure throughout is 1 atm. Modeling the air as an ideal gas with \(c_{p}=0.24 \mathrm{Btu} / \mathrm{lb} \cdot{ }^{\circ} \mathrm{R}\), determine (a) the mixed-air temperature, in 8F, and (b) the diameter of the mixed-air duct, in ft.

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