FUNDAMENTALS OF THERMODYNAMICS
10th Edition
ISBN: 9781119634928
Author: Borgnakke
Publisher: WILEY
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The vapour compression cycle (picture provided), utilises the refrigerant R134a flowing at 0.05 kg s-1. Assuming that the compression is adiabatic and reversible. If the actual input power to the compressor is 2 kW, then:
1. You need to determine the theoretical input power to the compressor and the heat transfer (Φ) to theevaporator. Take the enthalpies h1, h2, and h3 to be 238.41, 263.68 and 81.5 kJ kg-1 (use the 'NH3 Refrigeration Table' where you can find online).
2. You need to determine the coefficient of performance based on your answer to the previous question (1).
3. You need to determine the compressors mechanical efficiency.
6. Methane gas is compressed in a two-stage, double acting
compressor which is electrically driven at 165 RPM. The low
pressure cylinder (30 cm x 35 cm) receives 6 m³/min of gas at
96.5 kPa, 43°C and the high-pressure cylinder (20 cm x 35
cm) discharges the gas at 717 kPa. The isothermal over-all
efficiency is 75%, Find (a) volumetric efficiency and (b) the
kW output of the motor.
Problem:
Steam enters a condenser tube at 300 kPa and 82% quality. It is cooled by air to 30°C and 300 kPa. The
air enters the condenser's tube bundle at 100 kPa, 20°C and leaves at 95 kPa, 50°C. Heat is transferred
to the surroundings at a rate of 30 kJ/s. Find the mass flow rate of steam?
Air
Ú3 = 10 m/s
%3D
P3
100 kPa
Steam
T3
20°C
- Q=30 kJ/s
P = 300 kPa
%3D
82% quality
P2 = 300 kPa
T2 = 30°C
P4 = 95 kPa
T = 50°C
%3!
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- A reversible heat engine absorbs 3000 kJ from a reservoir at 1000 K and rejects 2500 kJ at 500 K. Find the heat interchanged with the reservoir at 300 K and the net work output of the engine.arrow_forwardAccording to the Carnot cycle, the thermal efficiency of a working heat machine is 28%, and water vapor is used as the working fluid. Heat transfer to the working fluid occurs at 350°C, and at this time the fluid passes from a saturated liquid state to a saturated vapor state. Since 5 kg of fluid circulates per hour in the cycle, find the power of this heat machine using the entropy of evaporation.arrow_forwardWater flowing at 5 kg/s and initially at 100 kPa, 20°C is to be delivered as steam at 2000 kPa, 350°C and the same flow rate to some application. The following two-step sequential process is employed to achieve the required delivered steam conditions:Step 1 – adiabatic compression to 2000 kPa, 20°C.Step 2 – constant-pressure heating to 350°C. How much work in kJ/s is needed in Step 1 and Step 2? What is the required heat transfer in kJ/s to accomplish Step 2?arrow_forward
- Please give a detailed solution and each clearlyarrow_forwardThe vapour compression cycle below (Figure Q4) utilises the refrigerant R134a flowing at 0.05 kg s¹. Assuming that the compression is adiabatic and reversible. If the actual input power to the compressor is 2 kW, determine the following: a. The theoretical input power to the compressor and the heat transfer (4) to the evaporator. Take the enthalpies h₁, h₂, and h3 to be 238.41, 263.68 and 81.5 kJ kg-¹, respectively. b. The coefficient of performance (COP) based on your answer to (a). c. The compressors mechanical efficiency. d. The COP based on the actual power input. P @ 5.673 bar 3 T @ 15 °C 4 P @ 0.8071 bar T@ -35 °C Warm condenser Cold evaporator Dout Din 2 P@ 5.673 bar T @ 50 °C Compressor 1 P@ 0.8071 bar T@ -20 °Carrow_forwardA one-stage compressor takes air at 100kpa and 25C with volume flow of 0.123m3/s and discharges to 800kpa. What is the heat rejected(kw) by the intercooler?arrow_forward
- A flow of 3 kg/s of superheated steam at 300 kPa and 300°C is mixed with liquid water at 300 kPa and 90°C so that the output is a flow of saturated steam at 300 kPa. Assume the mixing chamber is insulated, find the flow rate of liquid water needed for the process.arrow_forwardwhere do thet get the enthropy valvue for S2?arrow_forwardWhen steam expands through a nozzle from a pressure of 300 psia to 5 psia, with initial enthalpy 923486 lbf-ft/lb then final enthalpy 809898 lbf-ft/lb. Find the velocity at the exit in ft/s if there is no change in PE, velocity of 0 ft/s at the inlet, and no heat is lost through the casing.arrow_forward
- do not approximate the numbers you get from the tables write it as itarrow_forwardA two-stage air compressor has an intercooler between the twostages, as shown in Figure. The inlet state is 100 kPa, 290 K, andthe final exit pressure is 1.6 MPa. Assume that the constantpressure intercooler cools the air to the inlet temperature, T3 = T1.It can be shown that the optimal pressure is P2 = (P1P4)1/2 forminimum total compressor work. Find the specific compressorworks and the intercooler heat transfer for the optimal P2.arrow_forward4. During the execution of a reversible non-flow process the work is -156.2 KJ if VI=0.845 and the pressure varies as P=-730 V +690 KPa, where volume V is in m?arrow_forward
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