Midterm 1 2009

Midterm 1 2009 - 1 bar Chemistry 440 Hour exam .........

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Unformatted text preview: 1 bar Chemistry 440 Hour exam ...... ......... .. Department of Chemistry, Oregon State University 21 October 2009 2 8 J/(K - mol) 2 0.08 L ~ atm/(K - mol) 105 Pa 2 1 atm I2 (be + we n = qby — / Peacth U+PV (2% (3—91)]: (gist l i Q V 3T 132%,); 1+5v+ pRT __3_V vaPT )P CPI-‘71 —1 = TZf/gy—l $2 + $3 + . . . 1+sz+133p2+~~ for an adiabatic process; 7 = p: 2 V 0p Cu 1. Provide the equation(s) and define terms. (a) (4 pts) State the First Law of Thermodynamics as it applies to the universe and to a system (twoequations). (b) (2 pts) Define an adiabatic process in terms of the thermodynamic variables of the system (one equation). (0) (4 pts) Define the conditions for the critical point of a single component fluid (two equations). 2. (10 pts) The internal energy per mole U of a model fluid is given by WAT) = CRT - cm (1) Derive (%%)U if 0., and a are constants. 3. (10 pts) The van der Waals equation, without allowance for attractive forces, is given by ‘ nRT . V — nb For C52, by: 0.040 L / mole, and its molecular weight is roughly 80 g/ mole. P: (2) a) If the mass density of liquid carbon disulfide is 1.2 g/mL, what is its molar density in moles / L? b) What is the lowest molar density (moles / L) at which Eq(2) fails? 4. (10 pts) A Joule—Thomson coefficient has a value, an 2 —1.25 mK/bar. Does the temperature increase or decrease and by how much when the pressure drop is 1 kbar? 5. Consider a. fluid whose equation of state obeys P ='pRT(1+ bp) - £192; p = n/V where a and b are constant. Derive: (a) (12 pts) BAT), Bg(T), the second and third virial coefficients, respectively; (b) (6 pts) and the dependence of dU(T, V) on V, note av: _ 8P (Wt—487%” 6. (12 pts) One mole of argon (assumed to be an ideal gas) is compressed reversibly from 6 L to 1 L at 300 K. Calculate AU,won and qby. First, consider an ISOTHERMAL process and second, an ADIABATIC process. (a) isothermal (b) adiabatic 7. (10 pts) Prove that 8. (10 pts) Determine if dqby is an exact (differential for an ideal gas which undergoes a reversible process. 9. (10 pts) dU(S, V) is an exact differential, where S is the entropy and T is the absolute temperature. If ' dU(S, V) = TdS’ — PdV (6) then by the condition of exactness 8T _ : . . . 7 (ax/)5 <> ...
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Midterm 1 2009 - 1 bar Chemistry 440 Hour exam .........

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