Hw_w10 - EML 5104 Classical Thermodynamics, Spring 2010 Use as cover sheet Name(Print:_ UF ­ID: _ Homework Week

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Unformatted text preview: EML 5104 Classical Thermodynamics, Spring 2010 Use as cover sheet Name (Print): ___________________________________ UF ­ID: ___________________________________ Homework Week 10 Due March 22 at the begin of class P1: Air with an approximate molar composition of 79% N2 and 21% O2 fills a 0.36 m3 vessel. The mass of the mixture is 100 kg. The measured pressure and temperature are 101 bar and 180 K, respectively. Compare the measured pressure with the pressure predicted using a) the ideal gas equation of state. b) Kay’s rule. c) the additive pressure rule with the Redlich-Kwong equation. d) the additive volume rule with the Redlich-Kwong equation. P2: The following data are for a binary mixture of ethane (C2H6) and pentane (C5H12) at a certain temperature and pressure: yC2H6 ( ­) 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.119 0.116 0.112 0.109 0.107 0.107 0.11 v mix (m3/kmol) Estimate a) the specific volumes of pure ethane and pure pentane, each in m3/kmol b) the partial molal volumes of ethane and pentane for an equimolar mixture (yC2H6= yC5H12), each in m3/kmol. P3: Methane enters a turbine operating at steady state at 100 bar, 275 K and expands isothermally without irreversibilities to 15 bar. There are no significant changes in kinetic or potential energy. Using data from the generalized fugacity and enthalpy departure charts, determine the power developed and heat transfer, each in kW, for a mass flow rate of 0.5 kg/s. P4: A liquid fuel mixture that is 40% octane (C8H18) and 60% decane (C10H22) by mass is burned completely with 10% excess air at 25 °C, 1 atm, 80% relative humidity. a) Determine the equivalent hydrocarbon composition CaHb of a fuel that would have the same carbon-hydrogen ratio on a mass basis as the fuel mixture. b) If the combustion products are cooled to 25 °C at 1 atm, determine the amount of water vapor that condenses, in kg per kg of fuel mixture. P5: Pentane (C5H12) burns with air so that a fraction x of the carbon is converted to CO2. The remaining carbon appears as CO. There is no free O2 in the products. Develop plots of the air ­fuel ratio and the percent of theoretical air versus x, for x ranging from zero to unity. ...
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This note was uploaded on 09/09/2010 for the course EML 5104 taught by Professor Staff during the Spring '08 term at University of Florida.

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