EBK THERMODYNAMICS: AN ENGINEERING APPR
8th Edition
ISBN: 8220100257056
Author: CENGEL
Publisher: YUZU
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Chapter 12.6, Problem 48P
Show that β = α(∂ P/∂ T)v.
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A mass of 12 kg of Oxygen occupying 3 m3 is heated from 25°C at a constant volume. Take gas constant is 0.297 kJ/kgK, then its initial
pressure would be approximately 0.78 bar.
Select one:
O True
O False
Given: Otto Cycle with the following data:
compression ratio = 9
intake air is at 100 KPa and 20°C
maximum cylinder volume = 500 cm³
Temperature at the end of adiabatic compression = 800 K
Cp =1.01 kJ/kgK, Cv=0.718 kJ/kg, k = 1.4, R = 287.1 J/kgK
You have a 3.00-liter container filled with N₂ at 25°C and 4.25 atm pressure connected to a 2.00-liter container filled with Ar at 25°C and 2.75 atm pressure. A stopcock connecting the containers is opened and the gases are allowed to equilibrate between the two containers. What is the final pressure (in atm) in the two containers if the temperature remains at 25°C? Assume ideal behavior.
Chapter 12 Solutions
EBK THERMODYNAMICS: AN ENGINEERING APPR
Ch. 12.6 - What is the difference between partial...Ch. 12.6 - Consider a function z(x, y) and its partial...Ch. 12.6 - Prob. 3PCh. 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 - 12–7 Nitrogen gas at 400 K and 300 kPa behaves as...Ch. 12.6 - Nitrogen gas at 800 R and 50 psia behaves as an...Ch. 12.6 - Prob. 9PCh. 12.6 - Using the equation of state P(v a) = RT, verify...
Ch. 12.6 - Prob. 11PCh. 12.6 - Verify the validity of the last Maxwell relation...Ch. 12.6 - Prob. 14PCh. 12.6 - Prob. 15PCh. 12.6 - Prob. 16PCh. 12.6 - Prob. 17PCh. 12.6 - Prove that (PT)=kk1(PT)v.Ch. 12.6 - Prob. 19PCh. 12.6 - Prob. 20PCh. 12.6 - Using the Clapeyron equation, estimate the...Ch. 12.6 - Prob. 22PCh. 12.6 - Prob. 23PCh. 12.6 - Determine the hfg of refrigerant-134a at 10F on...Ch. 12.6 - Prob. 25PCh. 12.6 - Prob. 26PCh. 12.6 - Prob. 27PCh. 12.6 - Prob. 28PCh. 12.6 - Prob. 29PCh. 12.6 - 12–30 Show that =
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 - Derive expressions for (a) u, (b) h, and (c) s for...Ch. 12.6 - Derive an expression for the specific heat...Ch. 12.6 - Show that cpcv=T(PT)V(VT)P.Ch. 12.6 - Prob. 44PCh. 12.6 - Prob. 45PCh. 12.6 - Derive an expression for the specific heat...Ch. 12.6 - Derive an expression for the isothermal...Ch. 12.6 - Show that = ( P/ T)v.Ch. 12.6 - Prob. 49PCh. 12.6 - Prob. 50PCh. 12.6 - Show that the enthalpy of an ideal gas is a...Ch. 12.6 - Prob. 52PCh. 12.6 - Prob. 53PCh. 12.6 - The pressure of a fluid always decreases during an...Ch. 12.6 - Does the Joule-Thomson coefficient of a substance...Ch. 12.6 - Will the temperature of helium change if it is...Ch. 12.6 - Prob. 59PCh. 12.6 - Prob. 60PCh. 12.6 - 12–61E Estimate the Joule-Thomson-coefficient of...Ch. 12.6 - Prob. 62PCh. 12.6 - Consider a gas whose equation of state is P(v a)...Ch. 12.6 - Prob. 64PCh. 12.6 - On the generalized enthalpy departure chart, the...Ch. 12.6 - Why is the generalized enthalpy departure chart...Ch. 12.6 - Prob. 67PCh. 12.6 - Prob. 68PCh. 12.6 - Prob. 69PCh. 12.6 - Prob. 70PCh. 12.6 - Prob. 71PCh. 12.6 - Prob. 72PCh. 12.6 - Prob. 73PCh. 12.6 - Prob. 75PCh. 12.6 - Propane is compressed isothermally by a...Ch. 12.6 - Prob. 78PCh. 12.6 - Prob. 80RPCh. 12.6 - Starting with the relation dh = T ds + vdP, show...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 ideal gases, the development of the...Ch. 12.6 - Prob. 85RPCh. 12.6 - For a homogeneous (single-phase) simple pure...Ch. 12.6 - For a homogeneous (single-phase) simple pure...Ch. 12.6 - Prob. 88RPCh. 12.6 - Estimate the cpof nitrogen at 300 kPa and 400 K,...Ch. 12.6 - Prob. 90RPCh. 12.6 - Prob. 91RPCh. 12.6 - An adiabatic 0.2-m3 storage tank that is initially...Ch. 12.6 - Prob. 93RPCh. 12.6 - Methane is to be adiabatically and reversibly...Ch. 12.6 - Prob. 96RPCh. 12.6 - Prob. 98RPCh. 12.6 - Prob. 99RPCh. 12.6 - Prob. 100FEPCh. 12.6 - Consider the liquidvapor saturation curve of a...Ch. 12.6 - Prob. 102FEPCh. 12.6 - For a gas whose equation of state is P(v b) = RT,...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A mass of 15 kg of Oxygen occupying 3 m3 is heated from 25°C at a constant volume. Take gas constant is 297 J/kgK, then its initial pressure would be approximately 1.33 bar. Select one: True Falsearrow_forwardProblem 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.)arrow_forwardWhich of the following statements is incorrect? If the change in temperature and the specific heat at constant volume are given, then the A change in internal energy can be found. В B The specific heat ratio for a gas is always greater than unity. If the change in temperature and the specific heat at constant pressure are given, then the change in enthalpy can be found. If the change in temperature and the specific heat at constant pressure are given, then the D change in internal energy can be found.arrow_forward
- A 5kg Cu block at 200 C is submerged in 100 lb water at 10 C in an insulated vessel Determine the final equilibrium temperature.arrow_forward= B- Find an expression for Cp - Cv if the equation of state is p for an ideal gas. RT v-b and Show that CP - Cv=Rarrow_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
- The equation dU = T dS – P dV is applicable to infinitesimal changes occurring in A.A closed system with changes in composition B.An open system with changes in composition C.An open system of constant composition D.A closed system of constant composition E.None of thesearrow_forwardBriefly discuss the difference between derivative operators d and ∂. If the derivative ∂u/∂x appears in an equation, what does this imply about variable u?arrow_forwardThe temperature of 4.82 lb of Oxygen occupying 8 cu.ft is changed from 110 deg F to 200 deg F while pressure remains constant at 115 psia.Determine the final volume. (use Charle's Law)Select the correct response:7.26 cu.ft9.26 cu.ft8.26 cu.ft10.26 cu.ftarrow_forward
- 2. A piston-cylinder device contains 0.1 m' of liquid water and 9.0 m' of water vapor in equilibrium at 800 kPa. Heat is transferred at constant pressure until the temperature reaches 350°C. a. Calculate the final volume, and b. Show the process on a P-v diagram with respect to saturation lines. (Plot the diagram)arrow_forwardA tank contains exactly 1 kg of water consisting of liquid and vapour in equilibrium at 1.5 MPa. If the liquid occupy one-fourth the volume of the tank and vapour occupy 3/4 the volume of the tank, what is the enthalpy of the contents of the tank?arrow_forwardFor an ideal gas obtain the explicit expressions for thefollowing:F(V,T,n) =U−TS as a function of V,T and n. G=U+PV−TS as a function of P,T and n.Obtain μ using the relation μ= (∂F/∂n)V,Tarrow_forward
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