Calculate the Vant Hoff's factor when 5.00 gm `Na_2SO_4` dissolved in 45.0 gm water. Given `DeltaT_1 = -3.82^@K` `Kf = -1.85^@C`.

Calculate the hardness of water in ppm when 2.56 gm MgCO_3 dissolved in 1 litre water.

Calculate the hardness of Water When 1gm FeCl_3 dissolved in 1 liter water.

Calculate the depression of freezing point of water when 1.8 gm glucose dissolves in 250 ml water.

Calculate the elevation of boiling point of water when 0.6 gm urea is dissolved in 250 ml water given [ K_b 0.52 k.kg mol^(-1) ]

Calculate the mass of ascorbic acid (Vitamin C, C_6H_8O_6) to be dissolved in 75 g of acetic acid to lower its melting by 1.5^@C. K_f =3.9K kg mol^-1 .

A 0.5 percent aqueous solution of KCl was found to freeze at 272.76K. Calculate the Van't Hoff factor and degree of dissociation of the solute at this concentration (K_(f)" for water = 1.86 k.kg.mol"^(-1)) . Normal molar mass of KCl = 74.5.

Calculate the osmotic pressure when 2.5xx10^(-2) gm K_2SO_4 is added in 2L water at 25^@C (Consider complete dissociation of K_2SO_4 )

Find the molecular weight of a solute when 1.2 gm of the solute is dissolved in water at 25^@C in 37.4 mm of Hg.

Ethylene glycol is used as antifreezing agent to prevent the freezing of water in car radiator in cold climate. Calculate the amount of ethylene glycol to be added to 5 kg of water to prevent it from freezing at -6^@C . Given K_f for water = 1.85 kg mol^-1 .

Calculate the amount of ice that will separate out on cooling a solution containing 50g ethylene glycol in 200g water to -9.3^@C .( k_f for water = 1.86 K kg mol^-1 )