Derive the expression relating equilibrium constant with temperature.

Discuss the phase diagram of KI-H₂O system giving the suitable diagram

Briefly explain the laws of osmotic pressure.

Using suitable diagrams, discuss the mutual solubilities of components of the following liquid pairs which have

(a) lower critical solution temperature,

(b) upper critical solution temperature, and

(c) both upper and lower critical solution temperatures.

Briefly discuss the factors affecting solubility of gases in liquids.

Explain Nernst heat theorem.

How will you calculate the net work done in a Carnot cycle?

Calculate the standard internal energy change for the formation of water at 298 K. The standard enthalpy of formation of H₂O (l) at 298 K is-285.8 kJ mol^-1.

Isochoric process

Isobaric process

Adiabatic process

Isothermal process

Isolated system

Name different types of crystal systems. Give one example of the compounds belonging to each of these systems.

What is reduced pressure distillation? How is it useful?

Calculate the lattice energy (in Units kJ mol^-1) for ZnO crystal using Eq. 3.4 based on electrostatic model and using a Born-Haber cycle. Compare the two answers and comment on any difference.

Useful data:

Medelung constant (4) - 1.6411

Born Constant (n)-8

Internuclear distance (a) = 199 pm

Zn(s) + 1/2 O₂(g) → ZnO(s) ΔH_f-350.5 kJ mol^-¹

Zn(s) → Zn(g)  ΔH_s-130.4 kJ mol^-¹

Zn(g) → Zn⁺ (g) J(Zn)-906.3 kJ mol^-¹

Zn⁺(s) → Zn²⁺(g) J(Zn⁺)-1733 kJ mol^-¹

1/2 0₂(g) → O(g) 1/2ΔH_d-248.5 kJ mol^-¹

0(g)→O^-(g) E_A(O)-141 kJmol^-¹

O^-(g) →0²(g) E_A(O^-)--780 kJ mol^-¹

Explain the reason for the variation of the first ionization energies of the third period elements.

Derive van der Waals equation.

Write the values of four quantum numbers for 3d electrons.

Derive an expression for calculating energy values corresponding a 3 for a particle in one dimensional box.