quiz_06 - EML 5104 Classical Thermodynamics, Spring...

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Unformatted text preview: EML 5104 Classical Thermodynamics, Spring 2010 Quiz 6, 19 Feb 2010 Name (Print): ___________________________________ UF ­ID: ___________________________________ Please sign the honor pledge: "On my honor, I have neither given nor received unauthorized aid in doing this assignment." _________________________________ Signature Only mark one of the multiple choice answers. Use additional paper if necessary. Q1: The Redlich ­Kwong equation is given by: RT a R 2Tc5 / 2 RT ; a = a' ; b = b' c v − b v (v − b) T pc pc a ' = 0.42748, b ' = 0.08664, R = 8.314 J/(mol K) p= For hydrogen gas the critical temperature Tc = 33.2 K and the critical pressure pc = 13.0 bar. i) Calculate pressure for T=300 K, and v=0.001 m3/mol. ii) calculate the compressibility factor Z for the conditions given in i) (4 P) Q2: The enthalpy difference between two states in single phase regions is given by : 2 2 ⎛ ∂v ⎞ . Assuming the equation of state is known and cp(p0,T) is given, draw the most h2 − h1 = ∫ c p dT + ∫ ⎜ v − T dp ∂T p ⎟ ⎝ ⎠ 1 1 appropriate integration path between state 1 and state 2. Hint: divide path 1 ­2 into 3 portions (4 P). Turn page! EML 5104 Classical Thermodynamics, Spring 2010 Q3: Using the equation for the enthalpy difference given in Q2, give simplified expressions for the enthalpy differences of the 3 portions of path 1 ­2 (see Q2) (3 P). Q4: The Clapeyron equation is valid in (2 P): a) Phase change regions b) Single phase regions c) Supercritical regions d) All of the above Q5: Estimate the enthalpy of evaporation of water at 52.5 °C using the Clapeyron equation: dp = hg − h f dT sat T vg − v f ( ) and steam table data: psat (bar) vg (m3/kg) vf (m3/kg) Tsat (°C) 50 0.1235 12.032 1.0121⋅10 ­3 55 0.1576 9.568 1.0146⋅10 ­3 (4 P) Q6: Based on the Clapeyron equation given in Q5 derive the Clausius ­Clapeyron equation by assuming that vf is negligible and vg can be expressed using the ideal gas equation (3 P) Points: _______/ 20 P Turn page! ...
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