FUND OF ENG THERMODYN(LLF)+WILEYPLUS
9th Edition
ISBN: 9781119391777
Author: MORAN
Publisher: WILEY
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Carbon dioxide gas is compressed at steady state from a pressure of 20 Ibf/in? and a temperature of 32°F to a pressure of 50 Ibf/in?
and a temperature of 120°F. The gas enters the compressor with a velocity of 30 ft/s and exits with a velocity of 80 ft/s. The mass flow
rate is 2500 Ib/hr. The magnitude of the heat transfer rate from the compressor to its surroundings is 5% of the compressor power
input. Use the ideal gas model with cp = 0.21 Btu/lb.°R and neglect potential energy effects.
Determine the flow area at the inlet, in ft2, and the power required by the compressor to work, in horsepower.
At steady state, air at 200 kPa, 330 K, and mass flow rate of 0.9 kg/s enters an insulated duct having differing inlet and exit cross-
sectional areas. The inlet cross-sectional area is 6 cm². At the duct exit, the pressure of the air is 100 kPa and the velocity is 250 m/s.
Neglecting potential energy effects and modeling air as an ideal gas with constant cp = 1.008 kJ/kg - K, determine:
(a) the velocity of the air at the inlet, in m/s.
(b) the temperature of the air at the exit, in K.
(c) the exit cross-sectional area, in cm².
Part A
Determine the velocity of the air at the inlet, in m/s.
V₁ = i
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Part B
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