Fundamentals Of Engineering Thermodynamics
9th Edition
ISBN: 9781119391388
Author: MORAN, Michael J., SHAPIRO, Howard N., Boettner, Daisie D., Bailey, Margaret B.
Publisher: Wiley,
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Chapter 3, Problem 3.34CU
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An ideal gas contained in a piston-and-cylinder device undergoes a thermodynamic cycle made up of three quasi-equilibrium processes.
Step 1-2: Adiabatic compression from 330 K and 9.35 atm to 12.58 atm
Step 2-3: Isobaric cooling
Step 3-1: Isothermal expansion
c.) Calculate Q, W, ΔU and ΔH, in J/mole,
for each step in the process and for the entire cycle. Assume that CP = (5/2) R.
d.) Is this cycle a power cycle or a refrigeration cycle? Explain. Calculate the thermal efficiency or COP of the cycle, whichever is appropriate.
2 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=?
Problem 1. Each of two vessels of equal volume initially contain 1 g of ideal gas each. One vessel
is kept at temperature T1
300 K, the other at T2
400 K. The vessels are then connected by
a thin tube. Find the mass of gas in each vessel when the system reaches the state of mechanical
equilibrium. (Assume that once any amount of gas moves from one vessel to the other vessel, the
moved gas quickly reaches the temperature of the destination vessel.)
Chapter 3 Solutions
Fundamentals Of Engineering Thermodynamics
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- 2.00-mol of a monatomic ideal gas goes from State A to State D via the path A→B→C→D: State A PA=10.5atm, VA=11.00L State B PB=10.5atm, VB=6.00L State C PC=24.0atm, VC=6.00L State D PD=24.0atm, VD=23.50L Assume that the external pressure is constant during each step and equals the final pressure of the gas for that step. Calculate q for this process. Calculate w for this process. Calculate ΔE for this process Calculate ΔH for this process.arrow_forwardA certain ideal gas has the following properties: Molecular Mass, M = 24.943416 kg/kmole and Cvo = 1.000 kJ/ºK/kg. Determine Cpo in kJ / °K / kg.arrow_forward1.75 moles of an ideal gas with initial values of Cv, m = (3/2) R, T = 325.K and P = 1.30 bar underwent the following transformations. Compute the values of q, w, ΔE, ΔH and değerS for each process.(a) Gas is heated to 575 K against a constant external pressure of 1.30 bar.(b) Gas is heated to 575 K at constant volume corresponding to the initial volume.(c) The gas is subjected to a reversible isothermal expansion until the initial pressure value decreases by ¼ at 325 K.arrow_forward
- TOPIC: PROPERTIES OF SUBSTANCES: Note: The pressure values are absolute values unless specified. Determine the properties of H2O with units according to the following Table: Sketch of location of point in TS diagram below using P, T and x lines as applicable CONDITIONS: 1. Liquid at P = 20 Mpa and T= 190 C 2. Saturated liquid at T = 223.75 deg C 3. Steam with quality of 90 % at P = 6.7 Mpa 4. Dry steam at P = 18.05 Mpa 5. Steam at T =167 C, moisture = 3% 6. Steam with P = 3.42 Mpa and T = 460 C 7. Steam at 17.398675 Mpa gage, T=454.75 C 8. Steam at P = 17.0 Mpa, deg SH = 60 C 9. Saturated vapor at 40 bars 10. Boiling Point of H2O in deg Celsius at atmospheric pressure of 0.19 Mpa ; ANSWERS: h = V = U= S= h = U= S= h = U= S= h = U= V = U= V= h = S= T boiling point = in a pdfarrow_forward1. The equation of state of the actual gas is as follows. v (P+ 10 /v^ 2 )= RT, provided that the units of v and P are m^ 3 /kmol and kPa. 300K, 0.3 kmol of gas in the cylinder expanded from 2m^3 to 5m^3 in an isothermal process. Answer the following questions. (1) What is the unit of the number 10 in the above equation? (2) Find the work done during this process. (3) If the equation for the internal energy of this gas is the same as the internal energy of the ideal gas, find the amount of heat transfer during this process.arrow_forwardQ3: In a closed vessel with a volume of 50 dm3 there are 2 moles of an ideal monoatomic gas with cv, m = 12.471 JK-1 mol-1 at 25°C. The vessel was heated to 125°C. Calculate the values of Q, W, AU, AH in Joules and the initial and final pressure in the system. R=8,314 J K-1 mol-1. Cp.m 20,785 J K-1 mol-1 (15 Marks) %3Darrow_forward
- DESCRIBE THE IDEAL-GAS EQUATION OF STATE.arrow_forwardQ3: In a closed vessel with a volume of 50 dm3 there are 2 moles of an ideal monoatomic gas with cv, m = 12.471 J K-1 mol-1 at 25°C. The vessel was heated to 125°C. Calculate the values of Q, W, AU, AH in Joules and the initial and final pressure in the system. R = 8,314 J K-1 mol-1. Cp,m = 20,785 J K-1 mol-1arrow_forwardWhen the compositions and phases of a fluid reached equilibrium, it called thermal equilibrium Ture O False Oarrow_forward
- Calculate AH, AU, w, and q for the reversible heating of 1 mol of liquid water from 273 K to 373 K at 1 atm. ΔΗΞ 1806.88 You are correct AU = -1065.729 You are incorrect W = -741.151 You are incorrect q= 1806.88 You are correct X cal cal X cal calarrow_forwardDetermine the properties of propane in gaseous state with the help of generalized compressibility charts according to the conditions given below. Compare the results obtained with the ideal gas equation of state. Specific volume at 7 MPa, 150 °Carrow_forwardQuestion 1: Derive the thermodynamic equation of state (dH/dP)_T = V-T(dV/dT)_P Derive an expression for (dH/dP)_T for an ideal gas and for a van der Waals gas. For the van der waals gas, estimate its value for 1.0 mol of Ar(g) at 298K and 10 atm. Question 2: Show that the slope of compressibility factor Z as a function of pressure as P ---> 0; at isothermal conditions is related to the van der waals parameters by: Limit (P-->0) dz/dP = (b-a/RT)/RTarrow_forward
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