Show that total work and pressure ratio within a polytropic process (PV^n =C ), for an open system are given by equation 1 and 2 below

Q: A frictionless piston-cylinder device contains a gas initially at 0.8 MPa and 0.015 m³ .It expands…

A: Given:Initial pressure, P1=0.8 MPa or 800 kPaInitial volume, V1=0.015 m3Final Volume, V2=0.03 m3

Q: cylinder-piston assembly contains water at 120 C° and 100 kPa. The liquid is compressed in an…

A: ratio of specific heats of steam = 1.33 now , for adiabatic process P1-γ Tγ = constant1001-1.33 (…

Q: 2. 1 kg of gaseous CO2 contained in a closed system undergoes a reversible process at constant…

A:

Q: Find the dryness fraction of a steam having a specific volume of 15 m3 /kg after expansion in a…

A: Given that, Specific colume of steam after expansion from turbine, v=15 m3/kgSpecific volume of…

Q: 5. The noble gas Ar is compressed in a polytropic process with n = 1.2 from 120 kPa and 10°C to 700…

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Q: Which of the following is true? for an isolated system, dS>=0 O for a reversible process, dS=0 O for…

A: Isolated system: it is system in which neither energy nor mass can cross the system boundary.…

Q: We have 1 m3 of air (ideal gas), at pressure p1 = 10 atm, it undergoes expansion at constant…

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Q: Steam is cooled in a cylinder with a frictionless piston from     20kPa and 80 % dry until the…

A: Given      Initial Pressure, P1= 20 kPa      Dryness fraction, x = 0.8

Q: Piston-cylinder device contains 2 kg of steam. The steam undergoes an internal energy change of -40…

A: Given data: Change in internal energy  = -40 kJ/kg Heat transfer = -50 kJ Need to determine the…

Q: Steam at 1000 lbf/ft2 pressure and 300°R has specific volume of 6.5 ft3/lbm and a specific enthalpy…

A: Given data: h = 9800 ft-lbf/lbm p =  1000 lbf/ft2 v = 6.5 ft3/lbm Need to determine the internal…

Q: If the steam undergoes a process under Pv^1.296 = C, and the work steady flow is found to be 342.47…

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Q: 24. A gas is transferred to an empty 0.7m cylinder until the pressure reaches 9MPaa. The temperature…

A: Option c is correct.

Q: A vertical piston–cylinder device initially contains 0.12 m3 of helium at 20°C. The mass of the…

A: Write the given data.

Q: ylinder with a moveable piston holds 0.38 lbm of hydrogen initially with a volume of 1.43 ft³ at a…

A:

Q: In a reciprocating compressor 0.1 m3 of air at 0.95 bar and 32 o C is compressed according to PVn…

A:

Q: Draw the PV and TS Diagram of this problem. Steam at 5 MPa and 400 °C expands polytropically to 1.0…

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Q: Steam at a pressure of 3.5 MPa is known to have a specific volume of 0.05 m3 /kg. What is its…

A: Given            pressure = 3.5 MPa specific volume = 0.05 m3 /kg.

Q: Determine the heat and work in kJ/kg of the polytropic expansion of steam from 2.8 MPa at 340°C to…

A: Given details: P1=2.8 MPaP2=0.76 MPaT1=340°CT2=200°C

Q: Determine the work done and the heat flow of a fluid that expands reversibly and isothermally to a…

A: Given that, Initial Pressure, P1=30 bar,Initial Temperature, T1=300 °C,Final Pressure, P2=1.5 bar,…

Q: A piston cylinder with a volume of 0.3 m3 contains 0.7 kg of water at a pressure of 0.6 MPa. At…

A:

Q: Determine the work obtained to expand a gas of 0.34 m^3 to a final volume of 1.6 m^3 with a constant…

A: Given: Initial volume (V1) = 0.34 m^3  final volume (V2) = 1.6 m^3  constant external pressure (P) =…

Q: At 100 kPa and 25 °C, a piston-cylinder device contains 2.2 kg of nitrogen. The nitrogen is now…

A: Given, mass of…

Q: A 5-hp pump compressor delivers oxygen at a rate of 30 cubic feet per minute. The pressure and…

A: Given data: Power consumed by compressor = 5 hp = 3.73 KW                     Discharge rate = 30…

Q: The initial state of 1.00 mol of a dilute gas is P1 = 3.00 atm, V1 = 1.00 L, and Eint 1 = 456 J and…

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Q: cylinder with a moveable piston holds 0.21 lbm of hydrogen initially with a volume of 1.11 ft^3 at a…

A:

Q: Nitrogen gas is expanded adiabatically from a pressure of 17 bar to 2.5 bar. The initial volume of…

A: Given data: P1=17 barP2=2.5 barV1=0.09 m3k=1.4 Need to determine the final volume of the gas.

Q: Determine the heat extracted(in KJ) from 2000 kg of water from 25°C to ice at -10°C.

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Q: fluid has initial pressure of 1MPa and volume of 1m3 underwent a process with final pressure of…

A:

Q: A cold soda bottle initially has a temperature of 2 ° C, with 18 kJ of heat transferred to the…

A: Given data: Amount of heat transferred, Q = 18 kJ. Time, t = 15 min.  The heat transfer rate is…

Q: A frictionless piston-cylinder contains 4.5kg of steam at 4 atm and 175 C. Heat is transferred at…

A:

Q: 78. Oxygen at 200kpag, 57°F is contained in a piston-cylinder device arranged to maintain a constant…

A:

Q: A cylinder and a piston holding a spring containing 2 kg of oxygen at a pressure of 350 kPa and a…

A: Given, mass of oxygen, m=2kgP1=350KPaT1=250°CP2=150KPaT2=60°C From the gas…

Q: 4. A mass of 5 kg of saturated water vapor at 300 kPa is heated at constant pressure until the…

A: We know that  Workdone= m(P1V1-P2V2) where, mass m=5kg pressure P=300kPa v1 and v2=0.7163 and 0.6058…

Q: If the change in internal energy during adiabatic process is 10 kJ, then its work done is…

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Q: To get to a final state of 300°C, steam is expanded at a constant pressure of 0.90 kg/s and 70…

A:

Q: 4. An insulated piston-cylinder device contains 5 L of saturated liquid water at a constant pressure…

A:

Q: The molar specific heat at constant volume of an ideal gas is equal to 2.5 times the universal gas…

A: Given:molar specific heat at constant volume of an ideal gas= 2.5 times the universal gas…

Q: Diatomic oxygen (O2) at 100 kPa and 10 °C is compressed in a piston/cylinder arrangement through a…

A: Given data as per question Initial temperature =100 c Initial pressure =100 kpa Final pressure =800…

Q: Steam at 5 Mpa and 400C expands polytropically to 1.0 Mpa according to PV 1.3 = C. Determine the…

A: From steam table  v1=0.617m3/Kg   U1=2963 KJ/Kg   h1=3272 KJ/Kg   S1=7.713 KJ/Kg-K Given Equation…

Q: Consider an insulated system with piston and cylinder arrangement in which Oxygen gas is present. If…

A: Given Data ∆U=100 kJ Q=0 (insulated)

Q: 1.2 m3 of saturated liquid water at 200°C is expanded isothermally in a closed system until its…

A: We have to find total work done

Q: frictionless piston–cylinder device contains Helium gas initially at 100 kPa, 10°C, and 0.2 m^3. The…

A: Given Data  State 1: 100 kPa,10°C, and 0.2 m3 State 2: 700 kPa and 290°C

Q: A kilogram of Argon gas( MW= 40 kg/kmol, k=5/3) is in a piston cylinder set-up. Initially, it has…

A:

Q: An inactive system comprising of 3 kg of the fluid in an adiabatic process according to pv1.3 =…

A: Given: The mass of the fluid, m = 3 kg The initial pressure of fluid, P1 = 1 MPa The final pressure…

Q: Ethane initially at 35 kPa with a volume of 0.12 m3 is compressed frictionlessly in a cylinder until…

A: Given data: Calculate the final volume.

Q: Determine the work and heat (both in kJ/kg) during the polytropic expansion of steam from 2.8 MPa at…

A:

Q: (b) A frictionless piston–cylinder device contains 5 kg of nitrogen at 100 kPa and 250 K. Nitrogen…

A: Given, Mass of nitrogen, m=5 kg Initial pressure, P1=100 kPa Initial temperature, T1=250 K Final…

Q: In a reciprocating compressor 0.1 m^3 of air at 0.95 bar and 32  C is compressed according to PV n…

A:

Q: Steam is operating a turbine. The mass flow rate of steam is 1.5 kg/s. The steam is entering at 2…

A: Given Data: Mass flow rate of steam m.=1.5Kgsec Initial Pressure P1=2 Mpa Initial Temperature…

Basic Thermodynamic Processes

The word 'thermodynamics' can be divided into two words, 'thermo' and 'dynamics'. The word thermo deals with the heat and thermal phenomenon, whereas dynamics deals with forces or external agent that drives the heat flow or aids in the motion of heat.