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engineering
mechanical engineering
Questions and Answers of
Mechanical Engineering
Plot how the rate of transport of energy increases as the flow temperature increases by (a) Including. (b) Neglecting kinetic energy. For Information: Problem (3-3-70 [MR]),
A pipe carries saturated liquid water at a pressure of 500 kPa. Some water squirts out from the pipe through a small leak. As the water is expelled, it quickly achieves mechanical equilibrium with
An insulated piston inside an insulated rigid cylinder, closed at both ends, creates two chambers: one containing a two-phase mixture of H2O and another containing a two-phase mixture of R-134a. If
Determine: (a) The mass of air at 100 kPa, 25oC in a room with dimensions 5 m x 5 m x 5 m. (b) How much air must leave the room if the pressure drops to 95 kPa at constant temperature? (c) How much
In order to test the applicability of the ideal gas equation of state to calculate the density of saturated steam, compare the specific volume of saturated steam obtained from the steam table with
A weightless piston separates an insulated horizontal cylindrical vessel into two closed chambers. The piston is in equilibrium with air on one side and H2O on the other side, each occupying a volume
Determine the mass of saturated steam stored in a rigid tank of volume 2 m3 at 20 kPa using (a) The PC model. (b) The IG model. (c) What-if Scenario: What would the answers using (c) PC model. (d) IG
Calculate the change in specific internal energy (Δu) as air is heated from 300 K to 1000 K using (a) The PG model. (b) The IG model (for the IG model, use the IG system state daemon).
A 1 L piston-cylinder device contains air at 500 kPa and 300 K. An electrical resistance heater is used to raise the temperature of the gas to 500 K at constant pressure. Determine (a) The boundary
A piston-cylinder device contains 0.01 kg of nitrogen at 100 kPa and 300oC. Using (a) the PG model (b) IG model, determine the boundary work transfer as nitrogen cools down to 30oC. Show the process
Oxygen at 100 kPa and 200oC is compressed to half its initial volume. Determine the final state in terms of pressure (p2) and temperature (T2) if the compression is carried out in an (a)
Repeat the problem 3-4-16 [MK] using the IG model for oxygen. Problem 3-4-16 Oxygen at 100 kPa and 200oC is compressed to half its initial volume. Determine the final state in terms of pressure (p2)
For nitrogen, plot how the internal energy (U) varies with T within the range 25oC - 1000oC while the pressure is held constant at 100 kPa. Use (a) The PG model. (b) The IG model. (c) What-if
For carbon dioxide, plot how the specific entropy (s) varies with T within the range 25oC 3000oC while the pressure is held constant at 100 kPa. Use (a) The PG model. (b) The IG model.
Determine the specific enthalpy (h) of a gas (PG model: k = 1.4, R = 4.12 kJ/kg-K) given u = 6001 kJ/kg and T = 1000 K.
Superheated steam at a pressure of 10 kPa and temperature 200oC undergoes a process to a final pressure of 50 kPa and temperature of 300oC. Determine, magnitude only. (a) Δu. (b) Δh. (c) Δs.
Air at 300 K and 300 kPa is heated at constant pressure to 1000 K. Determine the change in specific internal energy (Δu) using.(a) Perfect gas model with cp evaluated at 298 K,(b) Perfect gas model
Air at 300 K and 300 kPa is heated at constant pressure to 1000 K. Determine the change in specific entropy, Δs, using. (a) Perfect gas model with cp evaluated at 298 K. (b) Perfect gas model with
Air at 15oC and 100 kPa enters the diffuser of a jet engine steadily with a velocity of 100 m/s. The inlet area is 0.2 m2. Determine (a) The mass flow rate of the air (m⋅). (b) What-if Scenario:
Air flows through a nozzle in an isentropic manner from p = 400 kPa, T = 25oC at the inlet to p = 100 KPa at the exit. Determine the temperature at the exit (T2), modeling air as a perfect gas.
H2O at 500 kPa, 200oC enters a long insulated pipe with a flow rate of 5 kg/s. If the pipe diameter is 30 cm, determine the flow velocity in m/s (a) Using the PC model for H2O. (b) Using the PG model
A tank of volume 1 m3 contains 5 kg of an ideal gas with a molar mass of 44 kg/kmol. If the difference between the specific enthalpy (h) and the specific internal energy (u) of the gas is 200 kJ/kg,
A tank contains helium (molar Mass = 4 kg/kmol) at 1 MPa and 20oC. If the volume of the tank is 1 m3, determine(a) The mass.(b) The mole of helium in the tank. Use the PG or IG model.
Determine cp of steam at 10 MPa, 350oC using (a) PG model if the specific heat ratio is 1.327. (b) The PC model (use the PC state daemon to find a neighboring state, hotter by, say, 1oC at constant
A cylinder of volume 2 m3 contains 1 kg of hydrogen at 20oC. Determine the change in (a) Pressure (Δp). (b) Stored energy (ΔE). (c) Entropy (ΔS) of the gas as the chamber is heated to 200oC. Use
Air in an automobile tire with a volume of 18 ft3 is at 90oF and 25 psia. Determine (a) The amount of air to be added to bring the pressure up to 30 psig. Assume the atmospheric pressure to be 14.7
The gauge pressure in an automobile tire is measured as 250 kPa when the outside pressure is 100 kPa and temperature is 25oC. If the volume of the tire is 0.025 m3, (a) Determine the amount of air
A rigid tank of volume 10 m3 contains steam at 200 kPa and 200oC. Determine the mass of steam inside the tank using (a) The PC model for steam. (b) PG model for steam. (c) IG model for steam.
Determine the specific volume (v) of oxygen at 10 MPa and 175K based on (a) Lee-Kesler. (b) Nelson-Obert generalized compressibility chart.
Determine the volume of 1 kg of water pressurized to 100 MPa at 1000oC. Use (a) The RG model with the Lee-Kesler chart. (b) The RG model with the Nelson-Obert chart. (c) The PC model.
Predict the pressure of oxygen gas having a temperature of 200 K and a specific volume of 0.001726 m3/kg using the real gas model. What-if Scenario: (a) What would the pressure be if we used. (b) The
A closed rigid tank contains carbon-dioxide at 10 MPa and 100oC. It is cooled until its temperature reaches 0oC. Determine the pressure at the final state (p2). Use (a) The RG model with the
A 15 L tank contains 1 kg of R-12 refrigerant at 100oC. It is heated until the temperature of the refrigerant reaches 150oC. Determine the change in. (a) Internal energy (ΔU). (b) Entropy, (ΔS).
A piston cylinder device contains 10 L of nitrogen at 10 MPa and 200 K. It is heated at a constant pressure to a temperature of 400 K. Determine (a) ΔH. (b) ΔS. Use the RG model with Lee-Kesler
For H2O, plot how the specific volume (v), varies with T in the superheated vapor region for a pressure of (a) 10 kPa. (b) 50 kPa. (c) 10 MPa. Take at least 10 points from the saturation temperature
Use the RG model (Lee-Kesler) to generate v vs p data for (a) O2. (b) N2 at 200 K over the reduced pressure range of 0.1 to 10. Evaluate Z and plot it against pr.
Determine the compressibility factor of steam at 20 MPa, 400oC using (a) The LK chart. (b) The NO chart. (c) The PC model. (d) What-if Scenario: What would the answers be if the steam were saturated
Compare the IG model and RG model (Lee Kesler chart) in evaluating the density of air at (a) 100 kPa, 30oC (b) 10 MPa, -100oC (c) 10 MPa, 500oC.
A 1 m3 closed rigid tank contains nitrogen at 1 MPa and 200 K. Determine the total mass of nitrogen using (a) The RG model (LK chart). (b) The IG model. (c) The PC model. Discuss the discrepancy
Calculate the specific volume (v) of propane at a pressure of 8 MPa and a temperature of 40oC using (a) The IG model. (b) The RG model. (c) The PC model
A tank of volume 10 m3 contains nitrogen at a pressure of 0.5 MPa and a temperature of 200 K. Determine the mass of nitrogen in the tank using (a) The ideal gas. (b) Real gas model. (c) What-if
Calculate the error (in percent) in evaluating the mass of nitrogen at 10 MPa, 200 K in a 100 L rigid tank while using (a) The IG model. (b) The RG model (LK chart). Use the PC model as the
A 10 gallon tank contains 9 gallon liquid propane and the rest vapor at 30oC. Calculate (a) The pressure (p) (b) Mass of propane by using the Lee Kesler compressibility chart. What-if Scenario: What
A rigid tank of volume 2 m3 contains 180 kg of water at 500oC. Calculate the pressure (p) in the tank by using (a) The Lee-Kesler chart. (b) Nelson-Obert chart. (c) What-if Scenario: What would the
An insulated electric water heater operates at steady state at a constant pressure of 150 kPa, supplying hot water at a flow rate of 0.5 kg/s. If the inlet temperature is 20°C and the exit
Water enters a boiler tube at 50 deg-C, 10 MPa at a rate of 10 kg/s. Heat is transferred from the hot surroundings in the boiler (created by combustion of coal) maintained at 1000 deg-C. Water exits
Refrigerant-12 is throttled by a valve from the saturated liquid state at 800 kPa to a pressure of 150 kPa at a flow rate of 0.5 kg/s. Assuming the surrounding conditions to be 100 kPa, 25oC,
Steam at 8 MPa and 500oC is throttled by a valve to a pressure of 4 MPa at a flow rate of 7 kg/s. Determine the rate of entropy generation.
Oxygen (model it as a perfect gas) is throttled by an insulated valve. At the inlet, the conditions are: 500 kPa, 300 K, 10 m/s, 1 kg/s. At the exit the conditions are: 200 kPa, 30 m/s. Determine.(a)
A coal-fired boiler produces superheated steam steadily at 1 MPa, 500°C from the feed water which enters the boiler at 1 MPa, 50°C. For a flow rate of 10 kg/s, determine. (a) The rate of heat
Saturated steam at 40oC is to be cooled to saturated liquid in a condenser. If the mass flow rate of the steam is 20 kg/s, Determine the rate of heat transfer in MW. Assume no pressure loss.
Water enters a boiler with a flow rate of 1 kg/s at 100 kPa, 20oC and leaves as saturated vapor. Assuming no pressure loss and neglecting changes in ke and pe, determine (a) The rate of heat transfer
Air at a pressure of 150 kPa, a velocity of 0.2 m/s, and a temperature of 30oC flows steadily in a 10 cm-diameter duct. After a transition, the duct is exhausted uniformly through a rectangular slot
Air is heated in a duct as it flows over resistance wires. Consider a 20 kW electric heating system. Air enters the heating section at 100 kPa and 15oC with a volume flow rate of 140 m3/min. If heat
Air flows steadily through a long insulated duct with a cross-sectional area of 100 cm2. At the inlet, the conditions are 300 kPa, 300 K, and 10 m/s. At the exit, the pressure drops to 100 kPa due to
Air flows steadily through a long insulated duct with a constant cross sectional area of 100 cm2. At the inlet, the conditions are 300 kPa, 300 K and 10 m/s. At the exit, the pressure drops to 50 kPa
Helium flows steadily through a long insulated duct with a constant cross-sectional area of 100 cm2. At the inlet, the conditions are 300 kPa, 300 K and 10 m/s. A 5 kW internal electrical heater is
Steam enters a long, horizontal pipe with an inlet diameter of 14 cm at 1 MPa, 250oC with a velocity of 1.2 m/s. Further downstream, the conditions are 800 kPa and 210oC, and the diameter is 12 cm.
A steam heating system for a building 175 m high is supplied from a boiler 20 m below ground level. Dry, saturated steam is supplied from the boiler at 300 kPa, which reaches the top of the building
Refrigerant R-134a flows through a long, insulated pipe of constant cross sectional area. At the inlet, the state is 200 kPa, 50oC. At another section further downstream, the state is 150 kPa,
An electric water heater supplies hot water at 200 kPa, 80oC at a flow rate of 8 L/min while consuming 32 kW of electrical power as shown in the accompanying animation. The water temperature at the
Long steel rods of 5 cm diameter are heat-treated by drawing them at a velocity of 5 m/s through an oven maintained at a constant temperature of 1000°C. The rods enter the oven at 25°C and leave at
Liquid water flows steadily through an insulated nozzle. The following data are supplied. Inlet: p= 500 kPa, T=25°C, V= 10 m/s; Exit: p=100 kPa, T=25°C. Determine the exit velocity by using (a) The
A water tower in a chemical plant holds 2000 L of liquid water at 25°C, 100 kPa in a tank on top of a 10-m-tall tower. A pipe leads to the ground level with a tap that can open a 1 cm-diameter hole.
A large supply line carries water at a pressure of 1 MPa. A small leak with an area of 1 cm2 develops on the pipe which is exposed to the atmosphere at 100 kPa. Assuming the resulting flow to be
Steam enters a nozzle operating steadily at 5 MPa, 350oC, 10 m/s and exits at 2 MPa, 267oC. The steam flows through the nozzle with negligible heat transfer and PE. The mass flow rate (m⋅) is 2
Steam enters an adiabatic nozzle steadily at 3 MPa, 670 K, 50 m/s, and exits at 2 MPa and 200 m/s. If the nozzle has an inlet area of 7 cm2. Determine The exit area.
Superheated steam is stored in a large tank at 5 MPa and 800oC. The steam is exhausted is entropically through a converging-diverging nozzle. Determine (a) The exit pressure. (b) The exit velocity
Steam enters a nozzle operating at steady state at 5 MPa and 420oC with negligible velocity, and exits at 3 MPa and 466 m/s. If the mass flow rate is 3 kg/s. Determine (a) The exit area, (b) The
Water flows steadily into a well-insulated electrical water heater (see Anim. 4- 1-1) with a mass flow rate of 1 kg/s at 100 kPa and 25°C. Determine: The electrical power consumption if the water
An adiabatic steam nozzle operates steadily under the following conditions. Inlet: superheated vapor, p = 1 MPa, T = 300°C, A = 78.54 cm2; Exit: saturated vapor, p = 100 kPa. Determine (a) The exit
Two options are available for reduction of pressure for superheated R-134a flowing steadily at 500 kPa and 40oC to a pressure of 100 kPa. In the first option, the vapor is allowed to expand through
Steam enters an adiabatic nozzle steadily at 3 MPa, 670 K, 50 m/s, and exits at 2 MPa. If the nozzle has an inlet area of 7 cm2 and an adiabatic efficiency of 90%. Determine(a) The exit velocity.(b)
Steam enters an insulated nozzle steadily at 0.7 MPa, 200oC, 50 m/s, and exits at 0.18 MPa and velocity of 650 m/s. If the nozzle has an inlet area of 0.5 m2. Determine (a) The exit temperature. (b)
Steam flows steadily through an isentropic nozzle with a mass flow rate of 10 kg/s. At the inlet the conditions are: 1 MPa, 1000oC, and 10 m/s, and at the exit the pressure is 100 kPa. Determine the
In problem 4-1-34 [WQ], determine the minimum area of cross-section of the steam nozzle. (Use TEST and vary the flow velocity in the intermediate station until the flow area is minimized.)
Carbon dioxide (CO2) enters a nozzle at 35 psia, 1400oF and 250 ft/s and exits at 12 psia and 1200oF. Assuming the nozzle to be adiabatic and the surroundings to be at 14.7 psia and 65oF.
Air (use the PG model) expands in an isentropic horizontal nozzle from inlet conditions of 1.0 MPa, 850 K, 100 m/s to an exhaust pressure of 100 kPa.Determine the exit velocity. What-if Scenario:
Air enters an adiabatic nozzle steadily at 400kPa, 200oC and 35m/s and leaves at 150kPa and 180 m/s. The inlet area of the nozzle is 75cm2. Determine (a) The mass flow rate. (b) The exit temperature
Steam enters an insulated nozzle operating steadily at 5 MPa and 700 K with negligible velocity, and it exits at 3 MPa. If the mass flow rate (m⋅) is 3 kg/s, using the Nozzle Simulator RIA(linked
Water flows steadily down an insulated vertical pipe (of constant diameter). The following conditions are given at the inlet and exit. Inlet (state-1): T1 = 20 oC, V1 = 10 m/s, z1 = 10 m; Exit
For the nozzle described in previous problem, 4-1-39[BXF], plot how exit velocity (V2) varies with input temperature (T1) varying from 400 K to 700 K, all other input parameters remaining unchanged.
For the nozzle described in previous problem, 4-1-44[BXF], plot how exit velocity (V2) varies with input pressure (p1) varying from 3 MPa to 5 MPa, all other input parameters remaining unchanged.
For the nozzle described in previous problem, 4-1-44[BXF], plot how exit velocity (V2) varies with isentropic efficiency of nozzle varying from 70% to 100%, all other input parameters remaining
Air expands in an isentropic horizontal nozzle from inlet conditions of 1.0 MPa, 850 K, 100 m/s to an exhaust pressure of 100 kPa. Using Nozzle Simulator RIA(linked from the left margin). (a)
Air at 100kPa, 15oC and 250 m/s enters an insulated diffuser of a jet engine steadily. The inlet area of the diffuser is 0.5 m2. The air leaves the diffuser with a low velocity. Determine (a) The
Air at 100kPa, 12oC, and 300 m/s enters the adiabatic diffuser of a jet engine steadily. The inlet area of the diffuser is 0.4 m2. The air leaves at 150 kPa and 20 m/s. Determine(a) The mass flow
Nitrogen enters an adiabatic diffuser at 75 kPa, -23oC and 240 m/s. The inlet diameter of the diffuser is 80 mm. It leaves at 100kPa, and 21 m/s. Determine (a) The mass flow rate of the air. (b) The
Air enters an insulated diffuser operating at steady state at 100 kPa, -5oC and 250 m/s and exits with a velocity of 125 m/s. Neglecting any change in pe and thermodynamic friction, determine:(a) The
Repeat problem 4-1-41 [ORB] assuming thermodynamic friction in the diffuser causes its efficiency to go down to 85%.
Air at 100 kPa, 15oC, and 300 m/s enters the adiabatic diffuser of a jet engine steadily. The inlet area of the diffuser is 0.4 m2, and exit area of the diffuser is 1 m2. Using the Diffuser Simulator
Water flows down steadily through a long 10-cm diameter vertical pipe. At the inlet: p = 300 kPa, T = 50oC, V = 5 m/s, and z = 125 m; At the exit: p = 1250 kPa, T = 20oC, and z = 10 m. If the
Using the diffuser described in the previous problem, 4-1-55[BCX], plot how exit pressure (p2) varies with inlet velocity (V1) varying from 100 m/s to 600 m/s, all other input parameters remaining
Refrigerant R-134a at 100 kPa, 300 K, and 100 m/s enters the adiabatic diffuser of a jet engine steadily. The inlet area of the diffuser is 0.1 m2, and exit area of the diffuser is 1 m2. Using the
Steam enters a turbine operating at steady state with a mass flow rate of 1.5 kg/s. At the inlet, the pressure is 6 MPa, the temperature is 500oC, and the velocity is 20 m/s. At the exit, the
Steam enters an adiabatic turbine steadily at 6 MPa and 530oC, and exits at 2.5 MPa, 420oC. The mass flow rate is 0.127 kg/s. Determine(a) The external power.(b) The ratio of exit flow area to the
Steam enters a turbine steadily at 2.5 MPa, 350oC, 60 m/s, and exits at 0.2 MPa, 100% quality, and 230 m/s. The mass flow rate into the turbine is 1.7 kg/s, and the heat transfer from the turbine is
Steam enters a turbine steadily at 10 MPa, 550 oC, 50 m/s, and exits at 25 kPa and 95% quality. The inlet and exit areas are 150 cm2 and 4000 cm2 respectively. A heat loss of 50 kJ/kg occurs in the
Steam enters an adiabatic turbine steadily at 6 MPa and 600oC, 50 m/s, and exits at 50 kPa, 100oC, 150 m/s. The turbine produces 5 MW. Determine. The mass flow rate. Neglects pe.
Steam enters an adiabatic turbine steadily at 2.5 MPa and 450oC, and exits at 60 kPa, 100oC. If the power output of the turbine is 3 MW, determine (a) The mass flow rate. (b) The isentropic
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