Differential Equations : Formulation and solution of differential equations of the forms.
1) dy / dx = ƒ(x).g(y)
2) dy / dx = ƒ(y/x)
3) dy / dx = (ax+by) / (cx+dy)
4) dy / dx = (a1x+b1y+c1 ) / (a2x+b2y+c2 ), (a1/a2 = b1/b2)
5) dy / dx + p(x)y = Q(x)
6) d²y / dx² + p1dy/dx + p2y = 0 with p1 and p2 constants.
7) d²y/dx² = ƒ(x)
Halogen
Chemistry of Non-metallic Elements and their Compounds
Carbon – occurrence, isotopes, allotropes (graphite, diamond, fullerene); CO and CO2 production, properties and uses.
Ionic and Redox Equilibria
Physical Chemistry of Solutions
Colloidal Solutions – differences from true solutions; Hydrophobic and hydrophilic colloids (examples and uses); Coagulation and peptization of colloids; Dialysis and its applications; Brownian motion; Tyndall effect and its applications; Elementary idea of emulsion, surfactant and micelle.
Electrolytic Solutions – Specific conductance, equivalent conductance, ionic conductance, Kohlrausch’s law, Faraday’s laws of electrolysis, applications. Numerical problems.
Chemical Energetics and Chemical Dynamics
Chemical Energetics – Conservation of energy principle, energy changes in physical and chemical transformations. First law of thermodynamics; Internal energy, work and heat, pressure-volume work; Enthalpy.
