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Temperature and pressure may be defined as
Using these definitions, prove that for a simple compressible substance
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- For each of the following cases, determine the specifified properties and show the states on the sketches of the P −υ and T −υ diagrams. a) For water at T = 320 °C, υ = 0.03 m3/kg, find P in MPa and u in kJ/kg. b) For water at T = 200 °C and υ = 0.2429 m3/kg, determine P in bar and ℎ in kJ/kg c) For water at P = 4 MPa, T =160 °C, fifind υ in m3/kg and u in kJ/kg.arrow_forwardFor water with pressure of P=8MPa and specific volume v=0.023525 m3/kg, (3) Find the specific volume of the saturated vapor vg___________m3/kgarrow_forwardA rigid tank filled with water is divided into two chambers by a membrane. The membrane is a perfect insulator and there is no heat transfer between the chambers. The volume of the water in chamber A and chamber B is VA = 1 m² and Vg = 4 m³, respectively. Initially (state 1) chamber A contains water at a temperature of 150 °C and a pressure of 350kPa. Chamber A also contains a plate of nickel with a mass of myi = 20 kg that is always in thermal equilibrium with the water. Chamber B contains 40 kg of water at a temperature of 80 °C. The membrane ruptures and heat transfers between the tank and its surroundings such that the water inside the tank reaches a uniform state, with a final temperature, T2, of 100°C. The specific heat of nickel is CpNi = 0.44 kJ/kg-K. c) Determine the pressure and specific internal energy of the water at the final state. (ie. P, and uz) d) Determine total heat transfer (between the tank and its surroundings) during the process. (ie. 1Q2) A В (Water) (Water)…arrow_forward
- Determine the temperature, in °C, of Butane at 30 bar and a specific volume of 0.026 m³/kg. Hint - you need to use compressibility charts since Butane is non-ideal under the specified conditions. Answer:arrow_forwardA 0.5 m3 tank contains methane CH4 at 20.68 bar and 38 degrees celsius. Using Avogadro's principle, find the mass of carbon dioxide CO2 (in kg) subjected to the same pressure and temperature in a 3.8-m3 tankarrow_forwardIn general, when a system undergoes a change from state 1 to state 2, the change in enthalpy is given by: deltaH = deltaU + PdeltaV + VdeltaP + deltaPdeltaV Derive this equation from the First Law of Thermodynamics, indicating the conditions assumed for the derivation.arrow_forward
- A piston-cylinder device containing 2kg of saturated H20 at 187 °C has initial specific volume of 0.13 kg/m³. The H20 is then expanded to a pressure of 300 kPa and a temperature of 187 °C. Fill in the following chart of properties for each state, and plot the two states on the given graph. Show all your work on this sheet or the next. State 1 Property P (kPa) State 2 300 T (°C) v (m³/kg) u (kJ/kg) x (phase or quality) 187 187 0.13 Varrow_forwardCharles' law states that If the pressure on a particular quantity of gas is held constant, then, with any change of state, the volume will vary directly as the absolute temperature. If the temperature on a particular quantity of gas is held constant, then, with any change of state, the volume will vary directly as pressure. If the temperature on a particular quantity of gas is held constant, then, with any change of state, the volume will varies inversely as pressure. It is a composite property applicable to all fluids, known as Heat Energy Enthalpyarrow_forward2. 1-kg of CO2 is compressed from 1MPag and 2000C to 3MPag in a piston-cylinder device arranged to execute a polytropic process for which PV1.2 = constant. Determine the final temperature of the gas (°C). Draw a figure or graph that will support the problem. Explain each step by step formula.arrow_forward
- for steam, the specific ideal gas constant = 461.5 J/kg K A closed system is comprised of pure water substance initially at a temperature of 500 oC and a pressure of 20 MPa (state 1). The system undergoes an isochoric process whereby its pressure drops to 0.1 Mpa (state 2). For state 1 evaluate the specific volume assuming the steam behaves as an ideal gas and comment on your result.arrow_forward2 properties are given to define the state of water using pure substance tables given below. Determine the properties or properties requested from you, asked for the following situations, using thermodynamic tables, and show each operation on your paper.a. T=200°C, x=0.95 ν=?b. P=0.275 mPa, ν=0.05 m3 / kg, x=?c. x = 1.0, ν=0.8 m3 / kg, P=? T=?d. P=1700 kPa, T=3000°C, x=? h=? Phase State=?e. T=5000°C, h=3487.7 kJ / kg, P=? x=? ν=?arrow_forward1) Given a vessel with V = 0.4 m3 filled with m = 2 of H2O at P = 600 kPa, find • the volume and mass of liquid, and • the volume and mass of vapor.arrow_forward
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