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SpringMidtermPracticeProblemsPart2

SpringMidtermPracticeProblemsPart2 - 1 Show that the van...

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1) Show that the van der Waals pressure is a state function. a. First write down the differential dp given that the pressure is a function of Volume and temperature p(V,T) b. Apply Euler’s method of mixed derivatives to show that dp is exact 2) Determine if the following differentials are exact or inexact a. (3x +y 2 )dx + (2xy)dy b. (x 2 + x +1)dx + (x +y –1)dy 3) Show that work dw =–pdV is an inexact differential for one mole of an ideal gas undergoing a reversible process w(T,V) is a function of T and V 4) Below is a graph of van der Waals interactions between atoms. Show where
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a. Attractive forces dominate the deviations from ideal gas behavior b. Repulsive forces dominate the deviations from ideal gas behavior c. The gas is approximately ideal. 5) Describe how you could set up an example of an experiment for each of the following conditions: a. Isobaric b. Isothermal c. Adiabatic d. Isochoric 6) Using the first law, derive the following expression:
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7)
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