Thermodynamics: An Engineering Approach
9th Edition
ISBN: 9781260048766
Author: CENGEL
Publisher: MCG
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Chapter 12.6, Problem 93RP
To determine
The change in volume of water as it is heated from
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The decrease in internal energy of 3lb of an ideal gas is 325BTU when the pressure decreases from 100psia to 20 psia and volume increases from 1.5ft³ to 4.5ft³. Cv = 0.25BTU/lb R. Determine ΔS (BTU/°R).
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Chapter 12 Solutions
Thermodynamics: An Engineering Approach
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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- A rigid vessel contains 2 kg of steam at 6.35 MPa and 375°C. Determine its enthalpy in kJ using steam tables only.arrow_forwardThe temperature of an ideal gas remains constant at 320 K while the absolute pressure is maintained at 101 kPaa. Find the mass (in grams) of 0.10 m³ of this gas if the molar mass is 29 g/mot.arrow_forwardDetermine 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_forward
- There is a calorimeter composed of a thermally insulated container. Inside it are 1.2 kg of ice at −15 ∘C. How much mass of water at 60 ∘C needs to be added in the calorimeter for the final temperature to be 5 ∘C? If water vapor were introduced at 100 ∘C instead of water, how much mass of steam would have to be added for the final temperature to be 30 ∘C? What volume would the water vapor in the previous part occupy (before adding it to the calorimeter) if the pressure at which it is contained is 1.20 × 105 Pa? NOTE: The molar mass of water is 18 g / mol. ice = 2090 J / kg ∘C. water = 4180 J / kg ∘C. Lf, water = 3.33 × 105 J / kg. Lv, water = 2.26 × 106 J / kgarrow_forwardAn ideal gas has a value of R = 58.8 ft·lb/lb·°R and k = 1.26. If 20 Btu are added to 5 lb of this gas at constant volume when the initial temperature is 90°F. Draw the P-V and T-S diagrams.arrow_forwardAn Insulated rigid tank containing 0.25 m3 of air at 50 oC and 1.5 Bar. If a paddle wheel with a power rating of 50 W is operated inside the tank for 5 minutes. Determine the final temperature of air inside the tank. Determine The final pressure of Air inside the tankarrow_forward
- Determine the temperature of water at a state of P = 0.5 MPa and h = 2890 kJ/kg.arrow_forwardA piston-cylinder arrangement contains 0.78-kg nitrogen and receives 10.791 of heat isothermally. The initial pressure of the gas is 455 kPa and the temperature of the system is maintained at 123.2°C. Determine the pressure at the final state in kPa.arrow_forward2.1-m3 of Helium contained in a rigid volume is initially at 52°C and 197 kPa. Calculate the heat transfer needed in kJ to increase the pressure to 790 kPa. Use Cv=3.116 kJ/kg-K and R=2.077 kJ/kg-K.arrow_forward
- Ammonia with MW=17, weighing 22kg is confirmed inside a cylinder equipped with a piston has initial pressure of 413kPa and 48C. if 2900kJ of heat is added until the final pressure is 413kPa and final temperature is 100C. Determine the change in internal energy kJarrow_forwardA 4.081-kg steam-water mixture at 1.0 MPa is contained in an inflexible tank. Heat is added until the pressure rises to 3.5 MPa and the temperature to 400°C. Determine the heat added in kJ.arrow_forwardA rigid, closed container contains water vapor. It is heated from a saturated liquid state at 200°C to a final temperature of 420°C. (a) Determine the initial and final pressuresarrow_forward
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