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Carbon dioxide gas is compressed at steady state from a pressure of 1.5 bar and a temperature of 0°C to a pressure of 3.5 bar and a temperature of 40°C. The gas enters the compressor with a velocity of 9 m/s and exits with a velocity of 25 m/s. The mass flow rate is 1360 kg/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 = 0.88 kJ/kg.K and neglect potential energy effects. a. Determine the flow area at the inlet, in m². b. Determine the compressor power, in kW. T₁=0°C P₁=1.5 bar mflow=1360kg/hr V₁-9 m/s Qout (5%) Win Win = ?? T₂-40°C P2=3.5 bar V₂-25 m/s

Carbon dioxide gas is compressed at steady state from a pressure of 1.5 bar and a temperature of 0°C to a pressure of 3.5 bar and a temperature of 40°C. The gas enters the compressor with a velocity of 9 m/s and exits with a velocity of 25 m/s. The mass flow rate is 1360 kg/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 = 0.88 kJ/kg.K and neglect potential energy effects. a. Determine the flow area at the inlet, in m². b. Determine the compressor power, in kW. T₁=0°C P₁=1.5 bar mflow=1360kg/hr V₁-9 m/s Qout (5%) Win Win = ?? T₂-40°C P2=3.5 bar V₂-25 m/s

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The image describes a process where carbon dioxide gas is compressed at steady state. The gas starts at an initial pressure of 1.5 bar and a temperature of 0°C and is compressed to a pressure of 3.5 bar and a temperature of 40°C. At the inlet, the gas enters the compressor with a velocity of 9 m/s and a mass flow rate of 1360 kg/hr. It exits with a velocity of 25 m/s. Notably, the heat transfer from the compressor to its surroundings is 5% of the compressor power input. Key variables: - Inlet conditions: - Temperature (T1) = 0°C - Pressure (p1) = 1.5 bar - Mass flow rate (m_flow) = 1360 kg/hr - Velocity (V1) = 9 m/s - Outlet conditions: - Temperature (T2) = 40°C - Pressure (p2) = 3.5 bar - Velocity (V2) = 25 m/s Additionally, the ideal gas model is used with a specific heat capacity (cp) of 0.88 kJ/kg·K, and potential energy effects are neglected. Tasks: a. Determine the flow area at the inlet, in m². b. Determine the compressor power, in kW. The diagram included illustrates the compressor system. It shows the gas flow in and out of the compressor, with labels indicating the input and output conditions. The compressor work input (W_in) is marked as unknown, and the heat output (Q_out) is specified as 5% of the power input.
Transcribed Image Text:The image describes a process where carbon dioxide gas is compressed at steady state. The gas starts at an initial pressure of 1.5 bar and a temperature of 0°C and is compressed to a pressure of 3.5 bar and a temperature of 40°C. At the inlet, the gas enters the compressor with a velocity of 9 m/s and a mass flow rate of 1360 kg/hr. It exits with a velocity of 25 m/s. Notably, the heat transfer from the compressor to its surroundings is 5% of the compressor power input. Key variables: - Inlet conditions: - Temperature (T1) = 0°C - Pressure (p1) = 1.5 bar - Mass flow rate (m_flow) = 1360 kg/hr - Velocity (V1) = 9 m/s - Outlet conditions: - Temperature (T2) = 40°C - Pressure (p2) = 3.5 bar - Velocity (V2) = 25 m/s Additionally, the ideal gas model is used with a specific heat capacity (cp) of 0.88 kJ/kg·K, and potential energy effects are neglected. Tasks: a. Determine the flow area at the inlet, in m². b. Determine the compressor power, in kW. The diagram included illustrates the compressor system. It shows the gas flow in and out of the compressor, with labels indicating the input and output conditions. The compressor work input (W_in) is marked as unknown, and the heat output (Q_out) is specified as 5% of the power input.
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