Concept explainers
Temperature and pressure may be defined as
Using these definitions, prove that for a simple compressible substance
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EBK THERMODYNAMICS: AN ENGINEERING APPR
- 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_forwardDetermine 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_forwardPROCESSES OF PURE SUBSTANCE: A 2-kg steam water mixture at 1.0 MPaa is contained in an inflexible tank. Heat is added until the pressure rises to 3.5 MPaa and the temperature to 400 0C. Determine: a) Heat transferred (kJ), b) ΔH (kJ), c)ΔS (kJ/k) (SHOW COMPLETE SOLUTION) (SHOW THE P-V AND T-S DIAGRAM PLEASE)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_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_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_forward
- In 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_forwardOxygen undergoes an adiabatic process, the pressure volume relationship given as p = (5/V)+1.5 where is in bar and V is in m3. During the process the volume changes from 1.5 x 108 mm3 to 0.05 m3 and the system takes 45 kJ of heat. Determine (i) Work done (ii) Change in internal energy (iii) Final pressure of the gas, if the initial pressure is 1 atm (iv) Final temperature of gas, if the initial temperature is 80°Carrow_forwardUsing the tables for water, determine the specified property data at the indicated states. (a) At p = 3 bar, v = 0.35 m³/kg, find T in °C and u in kJ/kg. (b) At T = 320°C, v = 0.03 m³/kg, find p in MPa and u in kJ/kg. (c) At p = 28 MPa, T = 400°C, find v in m³/kg and h in kJ/kg. (d) At T = 10°C, v = 40 m³/kg, find p in kPa and h in kJ/kg.arrow_forward
- A gas undergoes isobaric expansion at 0.05 bar from 0.1 m³ to 1.0 m³ when 2.0 KiloJoules of heat is applied to it. Which of the following is true regarding the work, heat and the change in internal energy involed in this change (all quantities in KiloJoules)? A. +4.5, -2.0, +2.5 B. -4.5, +2.0, -2.5 C. +4.5, +2.0, +6.5 D. -4.5, -2.0, -6.5arrow_forwardfor 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_forwardWhen U=f(T,v) for an ideal gas if B=1.4 E-5 /K, and if partial derivative of internal energy with respect to volume at constant temperature 6.16 J/m3 with V=5 m3 then the pressure * :is 1.161 E 5 Pa O 6.73 E 6 Pa 7.221 E 4 Pa 3.14 E 5 Pa Oarrow_forward
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