ps1 - follow the general functionality f(T) = T x/2 . (That...

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Chemistry 4511 Problem Set 1 1. Suppose you have a cylinder as described at right. The gas contained inside has an additional force that is a function of the height where the gas beneath height z repels the gas above it. This changes the expression for dF as shown. a. Derive an expression for P as a function of the height in the cylinder, z, and temperature, T. b. At what height(s) does P = P 0 ? (g = 9.8 m s -2 and γ = 30 s -2 ) c. If the system is closed and P 0 = 0.5 atm, sketch a plot of the pressure as a function of z from 0 to 1m. (T = 25 o C and M = 0.039 kg/mol) 1m 0.3m g γ dF = ρ gAdz - ργ Azdz
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2. If V m = 1 L/mol, plot compressibility vs. temperature (T = 0 to 300 K) for the virial equation including the B term, B and C terms, and B, C and D terms assuming they
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Unformatted text preview: follow the general functionality f(T) = T x/2 . (That is B(T) = T 1/2 , C(T) = T and D(T) = T 2 ) Now vary V m . At what value of V m does Z vary by only 1% over this temperature range? What happens to the plots? (You will need excel for this problem. We will discuss this briefly at the beginning of class on Friday. The computer lab across from my office has excel on the computers.) 3. Show the relationship between w rev and n, R and T for a. an ideal gas b. a van der Waals gas c. assuming the gas is H 2 , what is w rev for 1 mol expanded from 1 L to 2 L at 25 o C for both cases? (use table on page 37) ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − ∫ l k x jkl dx l k x j ln This relationship may prove useful...
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This note was uploaded on 10/11/2011 for the course CHEM 4511 taught by Professor Staff during the Spring '08 term at Colorado.

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ps1 - follow the general functionality f(T) = T x/2 . (That...

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