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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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 Spring '08
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