//M0//QN1//CS//DL0//EQ
At a certain temperature every pure liquid has a certain vapour pressure. But when a solid or liquid solute is added to it, its vapour pressure changes. colligative properties for the vapour pressure of solutions were studied in 1986 by F. M. Raoult and the rule given by him is called Raoult's law. When both the solute and the solvent are liquids, their own vapour pressures are called their partial pressures. It depends on the mole fraction of the component present in the solution. If both the liquid components in the solution are not equally volatile, their mole fractions are different in the vapour state than in the solution state. If the solute is a solid, the vapour pressure of the solution is lower than that of the pure solvent. This decrease is called relative decrease in vapour pressure. The relative decrease in vapour pressure is proportional to the mole fraction of solute in the solution. This rule is useful for calculating the molecular mass of a solute.(i) The vapour pressures of pure components A and B at a certain temperature are 108 and 36 torr respectively. What will be the vapour pressure of solution of equal moles of components A and B in solution? (ii) What will be mole fraction of component B in vapour phase?(iii) The vapour pressure of a solvent decreased by 10 mm Hg when a non-volatile solute was added to the solvent. The mole fraction of the solute in the solution is 0.2. What should be the mole fraction of the solvent if the decrease in vapour pressure is to be 20 mm Hg?(iv) The vapour pressure of pure liquid A is 10 torr and at the same temperature when 1 g solid
B is dissolved in 20 g of A , its vapour pressure is reduced to 9.0 torr. If the molecular mass of A is 200 amu, then the molecular mass of B is :
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= 
= 
= 50 mm HG
= 0.4
= χB
= χB ⇒ χB = 0.1
= 0.1 mol
⇒
= 0.1
= 0.1
= 90//M0//QN2//CS//DL0
Ideal solutions follow Raoult's law while non-ideal solutions do not follow Raoult's law. Similarly, volume and enthalpy do not change when ideal solutions are mixed, whereas for non-ideal solutions these properties vary depending on their characteristics. Non-ideal solutions can be classified into two forms, positive deviation and negative deviation. At particular composition both solutions form an azeotropic mixture.(i) Which of the following is not correct for ideal solution?
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//M0//QN3//CS//DL0//EQ
Pure Solvent when a solute is added to form a homogeneous solution, the properties of the pure solvent such as boiling point, freezing point and vapour pressure etc. change. All these properties are called Colligative properties. Colligative properties are very useful in everyday life. For example, a mixture of ethylene glycol and water in vehicle radiators is useful as an anti-freezing agent. Solution M is made by mixing the given ethanol with water. The ethanol mole-fraction in this mixture is 0.9. Molal depression constant of water (Kf water) = 1.86 K. kg mol–1, Molal depression constant of ethanol (Kf ethanol) = 2.0 K.kg.mol–1, Molal elevation constant of water (Kb water) 0.52
K.kg.mol–1, Molal elevation constant of ethanol
(Kb ethanol) = 1.2 K.kg.mole–1, Standard freezing point of water = 273K, Standard freezing point of ethanol = 155.7K Standard boiling point of water = 373K, Standard boiling point of ethanol = 351.5K, Vapour pressure of pure water = 32.8 mm Hg, Vapour pressure of pure ethanol = 40 mm Molecular mass of water = 18 g.mol–1, Molecular mass of ethanol = 46 g.mol–1. Assuming the solvent is non-volatile and immiscible and the solution is dilute and ideal, answer the following questions:(i) What will be the freezing point of solution M?(ii) What will be the vapour for pressure of
solution M?(iii) If water is added to solution M and mole-function of water in the solution is 0.9. What will be the boiling point of the solution?
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= 4.83 K
≈ 6.173 mol / kg//M0//QN4//CS//DL0//EQ
When any colligative property is calculated using any formula in electrolysis the experimental value is always greater than the theoretical value (the value obtained by calculation). Because electrolytes always dissociate in solution. Similarly, when electrolytes is associated, (e.g., acetic acid in benzene) the experimental value of a colligative property is less than the theoretical value. Thus, the experimentally observed molecular mass differs from the theoretical value. It is called abnormal molar mass. For all these cases the correction factor '(i)' is introduced as the Van't Hoff factor. If the value of the Van't Hoff factor (i) is known, the degree of dissociation or degree of association for the solute can be calculated.(i) Which of the following aqueous solution will have the highest freezing point?
//X
⇒ 0.87//M0//QN5//CS//DL0//EQ
A pharmaceutical company is for mutating an 'Oral Rehydration Solution (ORS)' for dehydration treatment. ORS must be isotonic with human blood (osmotic pressure = 7.6 atm at 37°C) so that no harmful flow of water occurs across cell membranes. For one test batch, chemist dissolve the following in 500 ml of water:
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= 0.10 mol
= 0.20 M
KCl = 
× 1.9 =
× 1.9//M0//QN6//CS//DL0//EQ
A chemical engineer is studying how a sparingly soluble salt, Ag2SO4 behave when discharged in industrial wastewater. The solubility of the salt is temperature - dependent. At 25°C, the solubility of Ag2SO4 is 1.42 g per litre, while at 40°C it rises to 2.10 g per litre. The dissociation of the salt is represented as: Ag2
2Ag+(aq) +
The engineer must determine:
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= 
2Ag+ + SO42–