CENGEL'S 9TH EDITION OF THERMODYNAMICS:
9th Edition
ISBN: 9781260917055
Author: CENGEL
Publisher: MCG
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Chapter 12.6, Problem 27P
Determine the hfg of refrigerant-134a at 10°F on the basis of (a) the Clapeyron equation and (b) the Clapeyron-Clausius equation. Compare your results to the tabulated hfg value.
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Argon gas is contained in a cylinder fitted with a frictionless piston. Initially, the cylinder
contains 200 L of Argon at 140 kPa and 10o
C. The gas is then compressed in a polytropic
process according to the relationship Pvn = C until the final pressure and temperature are 700
kPa and 180o
C respectively. For Argon; R = 0.2081 kJ/kg.K and cv = 0.3122 kJ/kg.K.
i) Sketch the system and the details of the process.
ii) Show the process on a P-v diagram
iii) Determine the polytropic exponent, n
iv) Calculate the work involved during the process [kJ]
v) Calculate the heat transfer during this process [kJ]
1. 10 kg of R – 134a at 300kPa fills a rigid container whose volume is 14 L. The
container is now heated until the pressure is 600kPa. Sketch the process on a P – v
diagram with respect to saturation lines and give reasons.
Vf@300kPa = 7.7 × 10−4 m³/kg, vg@300kPa = 0.068 m³/kg;
Vf@600kPa = 8.2 x 10 m³/kg, vg@600kPa = 0.034 m³/kg.
(5) An insulated piston-cylinder device contains 15 L of saturated liquid water
at a constant pressure of 950 kPa. Water is stirred by a paddle wheel while
a current of 15 A flows for 28 min through a resistor placed in the water.
If 64% of the liquid is evaporated during this constant pressure process and
the paddle-wheel work amounts to 600 kJ, determine the voltage of the
source. Also, show the process on a P-v diagram with respect to saturation
lines.
H2O
P= constant
We
Wsh
Chapter 12 Solutions
CENGEL'S 9TH EDITION OF THERMODYNAMICS:
Ch. 12.6 - What is the difference between partial...Ch. 12.6 - Consider the function z(x, y). Plot a differential...Ch. 12.6 - Consider a function z(x, y) and its partial...Ch. 12.6 - Prob. 4PCh. 12.6 - Prob. 5PCh. 12.6 - Consider a function f(x) and its derivative df/dx....Ch. 12.6 - Conside the function z(x, y), its partial...Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - Nitrogen gas at 800 R and 50 psia behaves as an...
Ch. 12.6 - Consider an ideal gas at 400 K and 100 kPa. As a...Ch. 12.6 - Using the equation of state P(v a) = RT, verify...Ch. 12.6 - Prove for an ideal gas that (a) the P = constant...Ch. 12.6 - Verify the validity of the last Maxwell relation...Ch. 12.6 - Verify the validity of the last Maxwell relation...Ch. 12.6 - Show how you would evaluate T, v, u, a, and g from...Ch. 12.6 - Prob. 18PCh. 12.6 - Prob. 19PCh. 12.6 - Prob. 20PCh. 12.6 - Prove that (PT)=kk1(PT)v.Ch. 12.6 - Prob. 22PCh. 12.6 - Prob. 23PCh. 12.6 - Using the Clapeyron equation, estimate the...Ch. 12.6 - Prob. 26PCh. 12.6 - Determine the hfg of refrigerant-134a at 10F on...Ch. 12.6 - Prob. 28PCh. 12.6 - Prob. 29PCh. 12.6 - Two grams of a saturated liquid are converted to a...Ch. 12.6 - Prob. 31PCh. 12.6 - Prob. 32PCh. 12.6 - Prob. 33PCh. 12.6 - Prob. 34PCh. 12.6 - Prob. 35PCh. 12.6 - Prob. 36PCh. 12.6 - Determine the change in the internal energy of...Ch. 12.6 - Prob. 38PCh. 12.6 - Determine the change in the entropy of helium, in...Ch. 12.6 - Prob. 40PCh. 12.6 - Estimate the specific heat difference cp cv for...Ch. 12.6 - Derive expressions for (a) u, (b) h, and (c) s for...Ch. 12.6 - Derive an expression for the specific heat...Ch. 12.6 - Derive an expression for the specific heat...Ch. 12.6 - Derive an expression for the isothermal...Ch. 12.6 - Prob. 46PCh. 12.6 - Show that cpcv=T(PT)V(VT)P.Ch. 12.6 - Show that the enthalpy of an ideal gas is a...Ch. 12.6 - Prob. 49PCh. 12.6 - Show that = ( P/ T)v.Ch. 12.6 - Prob. 51PCh. 12.6 - Prob. 52PCh. 12.6 - Prob. 53PCh. 12.6 - Prob. 54PCh. 12.6 - Prob. 55PCh. 12.6 - Does the Joule-Thomson coefficient of a substance...Ch. 12.6 - The pressure of a fluid always decreases during an...Ch. 12.6 - Will the temperature of helium change if it is...Ch. 12.6 - Estimate the Joule-Thomson coefficient of...Ch. 12.6 - Estimate the Joule-Thomson coefficient of...Ch. 12.6 - Prob. 61PCh. 12.6 - Steam is throttled slightly from 1 MPa and 300C....Ch. 12.6 - What is the most general equation of state for...Ch. 12.6 - Prob. 64PCh. 12.6 - Consider a gas whose equation of state is P(v a)...Ch. 12.6 - Prob. 66PCh. 12.6 - What is the enthalpy departure?Ch. 12.6 - On the generalized enthalpy departure chart, the...Ch. 12.6 - Why is the generalized enthalpy departure chart...Ch. 12.6 - What is the error involved in the (a) enthalpy and...Ch. 12.6 - Prob. 71PCh. 12.6 - Saturated water vapor at 300C is expanded while...Ch. 12.6 - Determine the enthalpy change and the entropy...Ch. 12.6 - Prob. 74PCh. 12.6 - Prob. 75PCh. 12.6 - Prob. 77PCh. 12.6 - Propane is compressed isothermally by a...Ch. 12.6 - Prob. 81PCh. 12.6 - Prob. 82RPCh. 12.6 - Starting with the relation dh = T ds + vdP, show...Ch. 12.6 - Using the cyclic relation and the first Maxwell...Ch. 12.6 - For ideal gases, the development of the...Ch. 12.6 - Show that cv=T(vT)s(PT)vandcp=T(PT)s(vT)PCh. 12.6 - Temperature and pressure may be defined as...Ch. 12.6 - For a homogeneous (single-phase) simple pure...Ch. 12.6 - For a homogeneous (single-phase) simple pure...Ch. 12.6 - Prob. 90RPCh. 12.6 - Prob. 91RPCh. 12.6 - Estimate the cpof nitrogen at 300 kPa and 400 K,...Ch. 12.6 - Prob. 93RPCh. 12.6 - Prob. 94RPCh. 12.6 - Prob. 95RPCh. 12.6 - Methane is to be adiabatically and reversibly...Ch. 12.6 - Prob. 97RPCh. 12.6 - Prob. 98RPCh. 12.6 - Prob. 99RPCh. 12.6 - An adiabatic 0.2-m3 storage tank that is initially...Ch. 12.6 - Prob. 102FEPCh. 12.6 - Consider the liquidvapor saturation curve of a...Ch. 12.6 - For a gas whose equation of state is P(v b) = RT,...Ch. 12.6 - Prob. 105FEPCh. 12.6 - Prob. 106FEP
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- Estimate the Joule-Thomson coefficient of refrigerant-134a at 240 kPa and 20°C. Assume the second state will be selected for a pressure of 200 kPa. Use data from the tables. The Joule-Thomson coefficient of refrigerant-134a is K/kPa.arrow_forwardAn ideal gas is adiabatically expanded along path AB from a temperature T=500 K to 300 K, and then isochorically heated along a path BC back to T=500 K. (i) Draw a pressure-volume diagram for this process and show that the ratio of pressures at points A and C obeys (3) PA PC where y is the adiabatic index of the ideal gas. (ii) Given that the ratio of pressures at points A and C is found to be PA 3.59 PCarrow_forwardIn the first case, there is 5 kg of water at 300 kPa (3 bar) pressure and 60% dryness in a closed container whose volume does not change. Heat transfer is performed until the closed container water reaches a pressure value of 1 MPa. The limit temperature of the closed container is 300 Cwill be taken.Note: Changes in kinetic and potential energies are negligible.(P0 = 100 kPa, T0 = 25 ◦C and T (K) = 273.15 + ◦C)a) Find the heat transfer to the sealed container.b) Find the exergy that disappears during the process.arrow_forward
- Determine the internal energy change for carbon monoxide, in kJ/kg, as it is heated from 312° K to 1456° K, using the ideal gas properties tablearrow_forwardQuestion 1 (a) In the thermodynamic laboratory, student Ali prepared a piston-cylinder device which contains refrigerant-134a at 1000 kPa and 50°C. The mass of the refrigerant is 6 kg. The next step of the experiment involves cooling the refrigerant at constant pressure until its state become liquid at 24°C. Show the process on T-v diagram and determine the heat loss from the system.arrow_forwardFind the desired thermodynamic properties in the cases given below. Draw the P-V diagram for options (A) and (B) of SU, and the T-V diagram for options (c) and (d). (a) find v and U If P = 500 kPa and T = 250°C(b) find T and U if P = 500 kPa and V =0.2 m3/kg.(c) find v and H if T = 500 °C and P = 2 MPa.(d) find P and U if T = 200°C and v = 0.01 m3/kg.arrow_forward
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