Derive gibbs duhem equation, Chemistry

(a) Derive a relationship between the elevation in boiling point of a solution and the mole fraction of the solute from the thermodynamic consideration.

(b) The molal elevation constant (Kb) and the boiling point for CCl4 are 5.02 deg/moll and 76.80C respectively. Calculate the boiling point of 1.0 molal solution of naphthalene in carbon tetrachloride. 2+3 = 5

Q. Draw a vapour pressure composition diagram for an ideal binary solution obeying this law and compare this with similar diagram showing derivation from Raoult's law. Why do these deviations occur?

Q. Draw a phase diagram for the CO2 system using the following data:

Solid CO2 (dry ice) sublimes at 1 bar pressure and -780C.The triple point is at 5.18bar and 56.60C.The critical point is at 74bar and 31.10C.The density of solid is 1.56 gml-1and that of liquid is 1.11gml-1 .The enthalpy of fusion is 8.34kjmol-1. 5

Q. Calculate the equilibrium constant for the reaction A+2B ---> C , if 1.0 moles of A ,2.0 moles of B and 3.0 moles of C are placed in a 1.0 dm3 vessel and allowed to come to equilibrium. The final concentration of C is 1.4 mol dm-3. 3

Q. Derive an expression for Gibb's Duhem Equation. How chemical potential varies with temperature and pressure?

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