Chem288_2005_PS5 - Spring 2005 Problem Set 5 Chemistry 288...

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Unformatted text preview: Spring 2005 Problem Set 5 Chemistry 288 – Marohn Handed out: Sunday, 27 February 2005 Due: Tuesday, 8 March 2005 1. A useful thermodynamic relation . Show that the average energy of a system free to exchange both energy and particles with a reservoir is given by the following expression, where Z is the system’s grand sum. U = τμ ∂ ∂μ log Z + τ 2 ∂ ∂τ log Z (1) 2. Death by carbon monoxide poisoning . In carbon monoxide poisoning carbon monoxide replaces the oxygen adsorbed on hemoglobin molecules in the blood. To show the effect, consider a model in which each adsorbed site on a heme may be vacant or may be occupied either by one molecule of oxygen (having a binding energy of ε a ) or by one molecule of carbon monoxide (having binding energy ε b ). Let the heme site be in equilibrium with O 2 and CO in the gas phase at concentrations such that the activities are λ (O 2 ) = 1 × 10 − 5 and λ (CO) = 1 × 10 − 7 , all at body temperature 37 ◦ C. Neglect any spin multiplicity factors.C....
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