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Questions and Answers
What is a thermodynamic cycle?
What is a thermodynamic cycle?
A sequence of processes that begins and ends at the same state.
In a thermodynamic cycle, the system experiences a net change of state.
In a thermodynamic cycle, the system experiences a net change of state.
False (B)
What happens to all properties at the conclusion of a thermodynamic cycle?
What happens to all properties at the conclusion of a thermodynamic cycle?
All properties have the same values they had at the beginning.
What are devices or systems used to produce a net power output often called?
What are devices or systems used to produce a net power output often called?
What are thermodynamic cycles that engines operate on called?
What are thermodynamic cycles that engines operate on called?
What is the purpose of heat engines?
What is the purpose of heat engines?
What are devices or systems used to produce refrigeration called?
What are devices or systems used to produce refrigeration called?
What is the objective of a refrigeration cycle?
What is the objective of a refrigeration cycle?
What is the objective of a heat pump?
What is the objective of a heat pump?
What does COP stand for?
What does COP stand for?
The net work of a power cycle operating is 10,000 kJ, and the thermal efficiency is 0.4. Determine the heat transfer $Q_{in}$ in kJ.
The net work of a power cycle operating is 10,000 kJ, and the thermal efficiency is 0.4. Determine the heat transfer $Q_{in}$ in kJ.
A refrigeration cycle operating has $Q_{out}$ = 1000 Btu and $W_{cycle}$ = 300 Btu. Determine the coefficient of performance for the cycle.
A refrigeration cycle operating has $Q_{out}$ = 1000 Btu and $W_{cycle}$ = 300 Btu. Determine the coefficient of performance for the cycle.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series. Determine the volume at state 1 in m3, if the volume at state 3 is 0.028 m3 and the work is -8.3 kJ.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series. Determine the volume at state 1 in m3, if the volume at state 3 is 0.028 m3 and the work is -8.3 kJ.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series. Determine the work for process 1-2, each in kJ, if the volume at state 3 is 0.028 m3 and the work is -8.3 kJ.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series. Determine the work for process 1-2, each in kJ, if the volume at state 3 is 0.028 m3 and the work is -8.3 kJ.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series. Determine the heat transfer for process 1-2, each in kJ, if the volume at state 3 is 0.028 m3 and the work is -8.3 kJ.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series. Determine the heat transfer for process 1-2, each in kJ, if the volume at state 3 is 0.028 m3 and the work is -8.3 kJ.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series. Can this be a power cycle or a refrigeration cycle?
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series. Can this be a power cycle or a refrigeration cycle?
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series, beginning at state 1 where $p_1$ = 1 bar, $V_1= 1.5 m^3$, as follows: Process 1-2: Compression with $pV = constant, W_{12} = -104 kJ, U_1 = 512 kJ, U_2 = 690 kJ$. Process 2-3: $W_{23} = 0, Q_{23} = -150 kJ$. Process 3-1: $W_{31} = +50 kJ$. Determine $Q_{12}$ in kJ.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series, beginning at state 1 where $p_1$ = 1 bar, $V_1= 1.5 m^3$, as follows: Process 1-2: Compression with $pV = constant, W_{12} = -104 kJ, U_1 = 512 kJ, U_2 = 690 kJ$. Process 2-3: $W_{23} = 0, Q_{23} = -150 kJ$. Process 3-1: $W_{31} = +50 kJ$. Determine $Q_{12}$ in kJ.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series, beginning at state 1 where $p_1$ = 1 bar, $V_1= 1.5 m^3$, as follows: Process 1-2: Compression with $pV = constant, W_{12} = -104 kJ, U_1 = 512 kJ, U_2 = 690 kJ$. Process 2-3: $W_{23} = 0, Q_{23} = -150 kJ$. Process 3-1: $W_{31} = +50 kJ$. Is this a power cycle? Explain.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series, beginning at state 1 where $p_1$ = 1 bar, $V_1= 1.5 m^3$, as follows: Process 1-2: Compression with $pV = constant, W_{12} = -104 kJ, U_1 = 512 kJ, U_2 = 690 kJ$. Process 2-3: $W_{23} = 0, Q_{23} = -150 kJ$. Process 3-1: $W_{31} = +50 kJ$. Is this a power cycle? Explain.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes: Process 1-2: Compression with $pV = constant$, from $p_1$ = 1 bar, $V_1 = 2 m^3$ to $V_2 = 0.2 m^3$, $U_2 - U_1 = 100 kJ$. Process 2-3: Constant volume to $p_3$ = $p_1$. Process 3-1: Constant-pressure and adiabatic process. Determine the net work of the cycle, in kJ.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes: Process 1-2: Compression with $pV = constant$, from $p_1$ = 1 bar, $V_1 = 2 m^3$ to $V_2 = 0.2 m^3$, $U_2 - U_1 = 100 kJ$. Process 2-3: Constant volume to $p_3$ = $p_1$. Process 3-1: Constant-pressure and adiabatic process. Determine the net work of the cycle, in kJ.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes: Process 1-2: Compression with $pV = constant$, from $p_1$ = 1 bar, $V_1 = 2 m^3$ to $V_2 = 0.2 m^3$, $U_2 - U_1 = 100 kJ$. Process 2-3: Constant volume to $p_3$ = $p_1$. Process 3-1: Constant-pressure and adiabatic process. Determine the heat transfer for process 2-3, in kJ.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes: Process 1-2: Compression with $pV = constant$, from $p_1$ = 1 bar, $V_1 = 2 m^3$ to $V_2 = 0.2 m^3$, $U_2 - U_1 = 100 kJ$. Process 2-3: Constant volume to $p_3$ = $p_1$. Process 3-1: Constant-pressure and adiabatic process. Determine the heat transfer for process 2-3, in kJ.
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes: Process 1-2: Compression with $pV = constant$, from $p_1$ = 1 bar, $V_1 = 2 m^3$ to $V_2 = 0.2 m^3$, $U_2 - U_1 = 100 kJ$. Process 2-3: Constant volume to $p_3$ = $p_1$. Process 3-1: Constant-pressure and adiabatic process. Is this a power cycle or a refrigeration cycle?
A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes: Process 1-2: Compression with $pV = constant$, from $p_1$ = 1 bar, $V_1 = 2 m^3$ to $V_2 = 0.2 m^3$, $U_2 - U_1 = 100 kJ$. Process 2-3: Constant volume to $p_3$ = $p_1$. Process 3-1: Constant-pressure and adiabatic process. Is this a power cycle or a refrigeration cycle?
Flashcards
Thermodynamic Cycle
Thermodynamic Cycle
A sequence of processes that begins and ends at the same state.
Cycle State Change
Cycle State Change
Over a complete cycle, the system experiences no net change of state; all properties return to their initial values.
Cycle Energy Balance Equation
Cycle Energy Balance Equation
∆𝐸𝐶𝑦𝑐𝑙𝑒 = 𝑄𝐶𝑦𝑐𝑙𝑒 − 𝑊𝐶𝑦𝑐𝑙𝑒. Represents the energy balance of the cycle.
𝑾𝑪𝒚𝒄𝒍𝒆 = 𝑸𝑪𝒚𝒄𝒍𝒆
𝑾𝑪𝒚𝒄𝒍𝒆 = 𝑸𝑪𝒚𝒄𝒍𝒆
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Power Cycles
Power Cycles
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Thermal Efficiency (ηth)
Thermal Efficiency (ηth)
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Refrigeration Cycles
Refrigeration Cycles
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Refrigeration Cycle Objective
Refrigeration Cycle Objective
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Heat Pump Objective
Heat Pump Objective
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Coefficient of Performance (COP)
Coefficient of Performance (COP)
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COP (Refrigeration)
COP (Refrigeration)
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COP (Heat Pump)
COP (Heat Pump)
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Qin
Qin
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Qout
Qout
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Power Cycle Purpose
Power Cycle Purpose
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Refrigeration Cycle Purpose
Refrigeration Cycle Purpose
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Heat Engine Cycle
Heat Engine Cycle
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Example cycle processes
Example cycle processes
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Process: U2 = U1
Process: U2 = U1
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Process: Constant-volume cooling
Process: Constant-volume cooling
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Process: Constant-pressure Expansion
Process: Constant-pressure Expansion
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Wcycle = -8.3 kJ; Refrigeration Cycle
Wcycle = -8.3 kJ; Refrigeration Cycle
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Refrigeration cycle
Refrigeration cycle
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Vapor Compression Refrigeration Cycle
Vapor Compression Refrigeration Cycle
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Heat Transfer (Q)
Heat Transfer (Q)
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Work Transfer (W)
Work Transfer (W)
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Internal Energy (U)
Internal Energy (U)
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Heat transfer example
Heat transfer example
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Wnet = -280.52 kJ
Wnet = -280.52 kJ
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Q23 = 80kJ
Q23 = 80kJ
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Study Notes
- Thermodynamic Cycles: Introduction and Analysis by Joseph Aldrin Chua
Thermodynamic Cycle
- A thermodynamic cycle is a sequence of processes that starts and ends at the same state.
- At the end of a cycle, all properties have the same values they had at the beginning.
- The system experiences no net change of state over the cycle.
- Cycles that are repeated periodically are prominent in many applications.
Cycle Energy Balance
- ΔEcycle = Qcycle - Wcycle
- No net change of state implies ΔEcycle = 0.
- Therefore, Wcycle = Qcycle.
- In analyzing cycles, energy transfers are normally taken as positive based on the directions of arrows on a sketch of the system, and the energy balance is written accordingly.
Power Cycles
- Devices or systems producing net power output are called engines.
- Thermodynamic cycles that engines operate on are power cycles.
- Heat engines convert thermal energy to work.
- Performance is expressed via thermal efficiency ηth, where:
- η = Wcycle / Qin
- Wcycle = Qin - Qout
Examples of Power Cycles: Otto Cycle
- Illustration of actual four-stroke spark-ignition engine and ideal Otto cycle is included.
Examples of Power Cycles: Diesel Cycle
- Diagram of P-v included
- Spark plug and fuel injector included
Refrigeration Cycles (Reversed cycles)
- Devices or systems used to produce refrigeration are refrigerators, air conditioners, or heat pumps.
- The cycles they operate on are refrigeration cycles (reversed cycles).
- The objective of a refrigeration cycle is to cool a refrigerated space to maintain a temperature below that of the surroundings.
- The objective of a heat pump is to maintain the temperature above that of the surroundings.
- Equation for refrigeration and heat pump: Wcycle = Qout - Qin
- Defining the Coefficient of Performance (COP):
- β = Qin / Wcycle (refrigeration cycle)
- γ = Qout / Wcycle (heat pump cycle)
Vapor Compression Refrigeration Cycle
- Illustration of diagram included
- Illustration of refrigeration cycle included
Examples
- Net work of a power cycle is 10,000 kJ, thermal efficiency is 0.4.
- The heat transfers are: Qin = 25000 kJ; Qout = 15000 kJ.
- A refrigeration cycle has Qout = 1000 Btu and Wcycle = 300 Btu.
- The coefficient of performance is: COP = 2.33
Example 3
- A gas in a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series:
- Process 1-2: Compression with U₂ = U₁.
- Process 2-3: Constant-volume cooling to p3 = 140 kPa, V₃ = 0.028 m3.
- Process 3-1: Constant-pressure expansion with W31 = 10.5 kJ.
- Analysis:
- Wcycle = -8.3 kJ
- There are no changes in kinetic or potential energy.
- It is a refrigeration cycle.
- Answers: V1 = 0.103 m³; W12 = -18.8 kJ; Q12 = -18.8 kJ
Exercises
- Exercise 2.77: A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series.
- Process 1-2: Compression with PV = constant, W12 = -104 kJ, U₁ = 512 kJ, U₂ = 690 kJ.
- Process 2-3: W23 = 0, Q23 = -150 kJ.
- Process 3-1: W31 = +50 kJ.
- It is a Reversed Cycle.
- Answers: Q12 = 74 kJ; Q31 = 22kJ; U3 = 540 kJ
- Exercise 2.78: A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes.
- Process 1-2: Compression with PV = constant, from p₁ = 1 bar, V₁ = 2 m³ to V₂ = 0.2 m³, U₂ - U₁ = 100 kJ.
- Process 2-3: Constant volume to p3 = p1.
- Process 3-1: Constant-pressure and adiabatic process.
- Answers: Wnet = -280.52 kJ ; Q23 = 80kJ
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