To 500 cm³ of water, 3.0 $$\times$$ 10^-3 kg of acetic acid is added. If 23% of acetic acid is dissociated, what will be the depression in freezing point? Kf and density of water are 1.86 K kg^-1 mol^-1 and 0.997 g cm^-3, respectively

Nitrobenzene is formed as the major product along with a minor product in the reaction of benzene with a hot mixture of nitric acid and sulphuric acid. The minor product consists of carbon : 42.86 %, hydrogen : 2.40%, nitrogen : 16.67% and oxygen : 38.07% (i) Calculate the empirical formula of the minor product. (ii) When 5.5 g of the minor product is dissolved in 45 g of benzene, the boiling point of the solution is 1.84 ^oC higher than that of pure benzene. Calculate the molar mass of the minor product and determine its molecular and structural formula. (Molal boiling point elevation constant of benzene is 2.53 K kg mol^-1)

A solution of a nonvolatile solute in water freezes at -0.30^oC. The vapour pressure of pure water at 298 K s 23.51 mm Hg and K_f for water is 1.86 K kg mol^-1. Calculate the vapour pressure of this solution at 298 K.

The molar volume of liquid benzene (density = 0.877 g mL^-1) increases by a factor of 2750 as it vaporises at 20^oC and that of liquid toluene (density = 0.867 g mL^-1) increases by a factor of 7720 at 20^oC. A solution of benzene and toluene at 20^oC has vapour pressure of 46.0 Torr. Find the mole fraction of benzene in the vapour above the solution.