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5. For a pure substance a. Derive the following expression В rasm av пк T b. How does the molar entropy change with increasing volume? For a mixture of substances, nj, n2, n3... c. Show that the presssure dependence of the chemical potential is related to the volume as follows av (Ohi) ap ani) Tinji T,P,nji d. Pure phosphine is allowed to decompose according to the following reaction. COCl2 (g) = CO (g) + Cl2 (g) Assuming ideal gas behavior, and using the Maxwell relationship above, derive an дисосі, expression for ap T,nconcia e. How does the chemical potential change with increasing pressure? Hint: n=ncoci, + nco + ncle, dncoci, = -dnco, dncoci, = --dnciz f. Use your result in part d to derive an expression for coci,(P) with respect to some reference pressure, pº