set 1 and 2 - Chem 3433 Problem Set 1 and 2 Due before...

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Chem 3433 – Problem Set 1 and 2 Due before class on 9/9/11 P ARTIAL D IFFERENTIALS 1. Write down the total differential for f(V,T,n) and f(V,U,n) 2. Appling the information above, finish following equation. ? , , n U n T V f V f 3. Show that if a continuous function f(x,y,z) =0, then 1 y x z x z z y y x . 4. Show that the rate of change of the pressure is related to the rate of change of the volume and temperature by dt V d dt T d dt p d ln ln ln . R EAL G ASES 5. Find the second virial coefficient and the Boyle temperature for the Berthelot equation of state. 6. Calculate the diameter of methane molecule from the value of 0.069L/mol for he excluded volume b . Is the value reasonable? Think about an average C-H bond length and the atoms sizes of C and H. 7. Calculate the second virial coefficient for the following square-well potential. If r < ) ( r u If <r < ) ( r u If r < 0 ) ( r u dr r e T B kT r u A 2 0 ) ( 1 N 2 ) ( 8. Derive an expression of the compression factor of a gas whose equation of state is P(V-
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This note was uploaded on 10/11/2011 for the course CHE 3433 taught by Professor Staff during the Fall '11 term at Oklahoma State.

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set 1 and 2 - Chem 3433 Problem Set 1 and 2 Due before...

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