Carbon dioxide gas is compressed at steady state from a

Chapter 4, Problem 4.56

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Carbon dioxide gas is compressed at steady state from a pressure of \(20 \mathrm{lbf} / \mathrm{in}^{2}\) and a temperature of \(32^{\circ} \mathrm{F}\) to a pressure of \(50 \mathrm{lbf} / \mathrm{in} .^{2}\) and a temperature of \(120^{\circ} \mathrm{F}\). 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 0.98 lb/s. The magnitude of the heat transfer rate from the compressor to its surroundings is 5% of the compressor power input. Using the ideal gas model with \(c_{p}=0.21 \mathrm{Btu} / \mathrm{lb} \cdot{ }^{\circ} \mathrm{R}\) and neglecting potential energy effects, determine the compressor power input, in horsepower.