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    Determining the exit velocity from an air nozzle

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    Air enters a nozzle operating at steady state at 800 ºR with a negligible velocity and exits the nozzle at 570 ºR. Heat transfer occurs from the air to the surroundings at a rate of 10 Btu per pound of air flowing. Assuming ideal gas behavior and neglecting potential energy effects, determine the velocity at the exit in ft/s.

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    First, we will convert everything in SI and finally we will convert the velocity in ft/s.

    Given: T1 = 800°R = 1273K
    T2 = 570°R = 985.7K
    q_out = 10 Btu/lb = 23.26 kJ/kg (heat lost to surroundings)

    Since incoming air has a negligible velocity, it's kinetic energy is also negligible (that means the total enthalpy is equal to the static one).
    If no heat losses would occur, the kinetic ...

    Solution Summary

    This solution provides a detailed written and formulaic explanation on how to determine the exit velocity of air leaving a nozzle, in ft/s.