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chem456_exam1key - Winter 2010 Chemistry 456 First...

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Winter 2010 Chemistry 456 First Examination January 29, 2010 Useful information and equations: Law IA: U q w Δ = + Law IB: ( , ) V T U U T V U U dU dT dV T V = = + H U PV = + Heat Capacity V V U C T = P P H C T = Work: ext w P dV = − 2 10 m/sec w mgh g w VIdt = = = Kinetic Energy: 2 2 mv ε = Isothermal Reversible work: ln f i V w nRT V = − PV Const = Adiabatic Reversible work: w PdV = − ( ) , , ; where P m V m C P V Const C γ γ = = Thermodynamic Equations of State T V T P U P T P V T H V V T P T = = Thermal expansion and compression coefficient 1 1 P T V V V T V P β κ = = IG EoS (and other IG relations) m PV RT = , , P m V m C C R = + V P U C T H C T Δ = Δ Δ = Δ vdW EoS 2 m m RT a P V b V = Cyclic rule: 1 y x z dx dz dy dy dx dz ⎞ ⎛ = − ⎟ ⎜ ⎟ ⎜ ⎠ ⎝ Calculus Rules: ( ) ( ) ( ) d yz d y d z z y dx dx dx dx dy dx dz dz dy = + = f i x y x Z Z dx x Δ = Gas Constant: 8.3 / 0.082 / 300 2.5 / 100 1 R J mol K R L Atm mol K R K kJ mol J L Atm = = = 5 1 1 10 Atm bar Pa = ( ) ( ) 273.15 T K T C = + The mean is often quite low on my exams. If you are having difficulty, don’t freak out. Many parts of problems can be done independently, so if you get stuck, see if you can do another section. The questions are not arranged in order of difficulty. Show your work throughout, always write down the equations you are using before substituting in numerical values and always show units for computed quantities. Show the analytical results of derivatives and integrals before substituting numbers. You do not need to compute the final number if you do not want to but show where the numbers you are given can be used.
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