CHEM 131 Midterm: Exam 2 No Solutions Spring 1997

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1. (28 points) the entropy of an ideal gas can be approximated as derive the answers to the following questions. No credit will be given if you just quote the answers based on other equations on the exam. 1 below illustrates two stages of the evolution of the gas. From a to b the gas expands from v0 to 2v0 at fixed temperature t0. From b to c the temperature of the gas is lowered from t0 to t0/2. (cid:1845)(cid:3404)(cid:1840)(cid:1863)(cid:3003)(cid:4674)(cid:2871)(cid:2870)ln(cid:4672)(cid:3006)(cid:3015)(cid:4673)(cid:3397)ln (cid:4666)(cid:3023)(cid:3015)(cid:4667)(cid:4675) . Use this fact and other equations given in the problem to derive (a) the partial derivative (cid:3105)(cid:3020)(cid:3105)(cid:3006)(cid:3404)(cid:2869)(cid:3021). Use this and the expression for s to find a general relation (b) the partial derivative (cid:3105)(cid:3020)(cid:3105)(cid:3023)(cid:3404)(cid:3043)(cid:3021). The surface is at z=0 and the solution is at z>0. Outside the membrane there are k+, cl- and ca2+ ion with molar concentrations c1k, c1cl and c1ca.

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