PS5F07 - Chemistry 391 Problem Set 5(Due Monday October 8...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Chemistry 391 Fall 2007 Problem Set 5 (Due, Monday October 8) 1. The Gibbs differentials imply that pV GA S TT ∂∂ =− ⎟⎟ . This is a remarkable result. Prove it from the defining relation () ( ) ,, , ) , GTp ATVTp pVTp =+ . 2. You have containers of pure H 2 and He at 298 K and 1 atm pressure. Calculate mixing mixing GT S Δ= Δ relative to the unmixed gases of a. a mixture of 10 mol of H 2 and 10 mol of He b. a mixture of 10 mol of H 2 and 20 mol of He c. For what composition (proportion of the two gases) does mixing G Δ have its minimum value? Explain physically and show it with calculus. 3. Show that P p V dH C dT V T dp T ⎡⎤ ⎛⎞ ⎢⎥ ⎜⎟ ⎝⎠ ⎣⎦ . (These are all easily measurable properties for a gas and are useful for e.g. Joule-Thompson calculations). HINT – It will prove useful to consider GHT S and what this produces for T G p
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 07/25/2008 for the course CEM 391 taught by Professor Cuckier during the Fall '08 term at Michigan State University.

Ask a homework question - tutors are online