Thermodynamics: An Engineering Approach
8th Edition
ISBN: 9780073398174
Author: Yunus A. Cengel Dr., Michael A. Boles
Publisher: McGraw-Hill Education
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Chapter 13.3, Problem 43P
(a)
To determine
The pressure of the mixture using the ideal gas equation of state.
(b)
To determine
The pressure of the mixture using the compressibility chart and Dalton’s law.
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On a hot summer day, you decide to make some iced tea. First, you brew 1.50 L of hot tea and leave it to steep until it has reached a temperature of Ttea = 75.0 ∘C. You then add 0.975 kg of ice taken from the freezer at a temperature of Tice = 0 ∘C. By the time the mix reaches equilibrium, all of the ice has melted. What is the final temperature Tf of the mixture?
For the purposes of this problem, assume that the tea has the same thermodynamic properties as plain water.
The specific heat of water is c = 4190 J/kg⋅∘C
The heat of fusion of ice is Lf = 3.33×105 J/kg
The density of the tea is ρ tea = 1.00 kg/L
The tank contains 2kg of water at 20C, 1 atm. The tank is heated. When the tank pressure reaches 300kpa, the valve opens and steam starts escaping. Heating continues and steam continues to escape while the pressure remains constant until half of the mass escapes. At this time the tank is filled with saturated vapor at 300 kpa, and the valve closes.
Question: Determine the volume of the tank and the amount of supplied heat.
A. Determine the specific volume of Nitrogen at 1200 KPa and 55°C, using
(a) the ideal-gas equation of state and (b) the generalized compressibility
chart. Compare the values obtained to the actual value of 0.07211 m³/kg and
determine the error involved in each case.
B. Water is contained in a rigid vessel of 5000 L at a quality of 0.85 and a
pressure of 2.25 MPa. If the pressure is reduced to 0.45 Mpa by cooling the
vessel, find the final mass of vapor and mass of liquid.
Chapter 13 Solutions
Thermodynamics: An Engineering Approach
Ch. 13.3 - Consider a mixture of several gases of identical...Ch. 13.3 - Somebody claims that the mass and mole fractions...Ch. 13.3 - The sum of the mole fractions for an ideal-gas...Ch. 13.3 - Consider a mixture of two gases. Can the apparent...Ch. 13.3 - What is the apparent molar mass for a gas mixture?...Ch. 13.3 - Prob. 6PCh. 13.3 - Consider a mixture of two gases A and B. Show that...Ch. 13.3 - The composition of moist air is given on a molar...Ch. 13.3 - Prob. 9PCh. 13.3 - Prob. 10P
Ch. 13.3 - Prob. 11PCh. 13.3 - Prob. 12PCh. 13.3 - Prob. 13PCh. 13.3 - Is a mixture of ideal gases also an ideal gas?...Ch. 13.3 - Express Daltons law of additive pressures. Does...Ch. 13.3 - Express Amagats law of additive volumes. Does this...Ch. 13.3 - How is the P-v-T behavior of a component in an...Ch. 13.3 - Prob. 18PCh. 13.3 - Prob. 19PCh. 13.3 - Prob. 20PCh. 13.3 - Prob. 21PCh. 13.3 - Consider a rigid tank that contains a mixture of...Ch. 13.3 - Is this statement correct? The volume of an...Ch. 13.3 - Is this statement correct? The temperature of an...Ch. 13.3 - Is this statement correct? The pressure of an...Ch. 13.3 - Prob. 26PCh. 13.3 - Prob. 27PCh. 13.3 - Prob. 28PCh. 13.3 - 13–29 A gas mixture at 350 K and 300 kPa has the...Ch. 13.3 - Prob. 30PCh. 13.3 - Prob. 31PCh. 13.3 - A rigid tank that contains 2 kg of N2 at 25C and...Ch. 13.3 - Prob. 33PCh. 13.3 - Prob. 34PCh. 13.3 - Prob. 35PCh. 13.3 - Prob. 36PCh. 13.3 - A 30 percent (by mass) ethane and 70 percent...Ch. 13.3 - Prob. 38PCh. 13.3 - Prob. 39PCh. 13.3 - Prob. 40PCh. 13.3 - Prob. 41PCh. 13.3 - Prob. 42PCh. 13.3 - Prob. 43PCh. 13.3 - Is the total internal energy of an ideal-gas...Ch. 13.3 - Prob. 45PCh. 13.3 - Prob. 46PCh. 13.3 - 13–47C Is the total internal energy change of an...Ch. 13.3 - Prob. 48PCh. 13.3 - Prob. 49PCh. 13.3 - The volumetric analysis of a mixture of gases is...Ch. 13.3 - Prob. 52PCh. 13.3 - Prob. 53PCh. 13.3 - Prob. 54PCh. 13.3 - Prob. 55PCh. 13.3 - Prob. 56PCh. 13.3 - An insulated tank that contains 1 kg of O2at 15C...Ch. 13.3 - Prob. 59PCh. 13.3 - Prob. 60PCh. 13.3 - Prob. 61PCh. 13.3 - Prob. 62PCh. 13.3 - Prob. 63PCh. 13.3 - Prob. 64PCh. 13.3 - Prob. 66PCh. 13.3 - Prob. 67PCh. 13.3 - Prob. 69PCh. 13.3 - A pistoncylinder device contains 6 kg of H2 and 21...Ch. 13.3 - Prob. 71PCh. 13.3 - Prob. 72PCh. 13.3 - Prob. 73PCh. 13.3 - Prob. 74PCh. 13.3 - Prob. 75PCh. 13.3 - Prob. 76PCh. 13.3 - Prob. 77PCh. 13.3 - Prob. 78PCh. 13.3 - Prob. 80PCh. 13.3 - Prob. 81PCh. 13.3 - Fresh water is obtained from seawater at a rate of...Ch. 13.3 - Prob. 83PCh. 13.3 - Prob. 84RPCh. 13.3 - The products of combustion of a hydrocarbon fuel...Ch. 13.3 - Prob. 89RPCh. 13.3 - Prob. 91RPCh. 13.3 - Prob. 92RPCh. 13.3 - A spring-loaded pistoncylinder device contains a...Ch. 13.3 - Prob. 94RPCh. 13.3 - Reconsider Prob. 1395. Calculate the total work...Ch. 13.3 - A rigid tank contains a mixture of 4 kg of He and...Ch. 13.3 - Prob. 97RPCh. 13.3 - Prob. 100RPCh. 13.3 - An ideal-gas mixture whose apparent molar mass is...Ch. 13.3 - 13–102 An ideal-gas mixture consists of 2 kmol of...Ch. 13.3 - An ideal-gas mixture consists of 2 kmol of N2and 4...Ch. 13.3 - Prob. 104FEPCh. 13.3 - Prob. 105FEPCh. 13.3 - An ideal-gas mixture consists of 3 kg of Ar and 6...Ch. 13.3 - Prob. 107FEPCh. 13.3 - Prob. 108FEPCh. 13.3 - Prob. 109FEPCh. 13.3 - Prob. 110FEP
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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
- Saturated liquid ammonia at 324.4 K is heated isobarically until it reaches a quality of 60%. Determine the specific entropy change of the ammonia using the using the generalized compressibility charts to account for deviations from ideal gas behavior.arrow_forwardAn isolated piston inside a rigid, isolated cylinder, closed at both ends, has two chambers; one containing a two-phase water mixture and one containing a two-phase mixture of R-134a. If the temperature inside the chamber containing water is 85.9°C, determine the temperature inside the other chamber. Assume mechanical equilibrium. Do you have enough data to calculate the quality in both cases? Justify your answer.arrow_forwardOnly handwritten solution is allowed so don't type.arrow_forward
- If 10 kg of ice at 0C is added to 2 kg of steam at 100C, the temperature of resulting mixture isarrow_forwardFor methane at 1500 psia and 168F, determine: (A) z-factor (B) isothermal compressibilityarrow_forwardAn ideal gas mixture at T₁=300 K, p₁=6 bar, and V₁-20 liters is isothermally expanded to V₂=40 litters against a constant external pressure of 3 bar. Neglect the effects of piston acceleration. Determine the change in international energy (in J), the work (in J), the heat (in J), the change in entropy (in J/K) for this process. Is the Second Law of Thermodynamics satisfied?arrow_forward
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