Liquid methanol is pumped from a large storage tank through a 1-in.ID pipe at a rate of 3.00gal/mm.
(a) At what rate in (i) ft · lbf/s and (ii) hp is kinetic energy being transported by the methanol in the pipe?
(b) The electrical power input to the pump transporting the methanol must be greater than the amount you calculated in part (a). What would you guess becomes of the additional energy? (There are several possible answers.)
(a) At what rate in (i) ft · lbf/s and (ii) hp is kinetic energy being transported by the methanol in the pipe?
(b) The electrical power input to the pump transporting the methanol must be greater than the amount you calculated in part (a). What would you guess becomes of the additional energy? (There are several possible answers.)
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a) (i) The kinetic energy rate in ft.lbf/s is 0.00771
(ii) kinetic energy being transported by the methanol in the pipe is 1.40 x 10⁻⁵ hp
b) Additional energy is dissipated into other forms. The larger part is heat energy, but also dissipated in light, sound and vibrations.
What is kinetic energy?
The ability of an object to do work by virtue of its motion.
The mass flow rate expressed as
m= 3.00 gal.mm x 1000/264.17L/gal x 0.792 kg/L x 2.20462 / 60= 0.330 lb/s
The velocity is determined by the continuity equation
u= Q/A =[ 3.00 x 35.3145/(264.17x60) ] / π (1/12)²/4
u = 1.225 ft/s
The rate of kinetic energy transport is
K.E = 1/2 x (0.330) x (1.225)² = 0.00771 ft-lb/s
Thus, the kinetic energy rate in ft.lbf/s is 0.00771
The rate of kinetic energy in hp is
K.E = 0.00771 x 1.341 x 10⁻³ /0.7376
K.E = 1.40 x 10⁻⁵ hp
The kinetic energy being transported by the methanol in the pipe is 1.40 x 10⁻⁵ hp
b) The major amount of heat energy is dissipated. The other forms of energy is light, sound and vibrations.
Learn more about kinetic energy.
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