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 Multiple Choice QuestionsLong Answer Type

151. Benzene and toluene form iedal solution over the entire range of composition. The vapour pressure of pure benzene and naphthalene at 300 K are 50.71 mm Hg and 32.06 mm Hg respectively. Calculate the mole-fraction of benzene in vapour phase if 80 g of benzene is mixed with 100 g of toluene.
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152. 100 g of liquid A (molar mass 140 g mol–1) was dissolved in 1000 g of liquid B (molar mass 180 g mol–1). The vapour pressure of pure liquid B and found to be 500 torr. Calculate the vapour pressure of pure liquid A and its vapour pressure in the solution if the total vapour pressure of the solution is 475 torr.
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153.

Heptane and Octane form an ideal solution at 373 K. The vapour pressures of the pure liquids at this temperature are 105.2 K Pa and 46.8 K Pa respectively. If the solution contains 25 g of heptane and 28.5 g of octane, calculate
(i) Vapour pressure exerted by heptane.
(ii) Vapour pressure exerted by solution.
(iii) Mole fraction of octane in the vapour phase.

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 Multiple Choice QuestionsShort Answer Type

154. Ethylene glycol (molar mass = 62 g mol–1) is a common automobile auto freeze. Calculate the freezing point of a solution containing 12.4 g of this substance in 100 g of water. Would it be advisable to keep the substance in the car radiator during summer? 
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155. Calculate the temperature at which a solution containing 54 g of glucose, C3H12 O6, in 250 g of water will freeze. [Kfor water = 1.86 K kg mol–1
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 Multiple Choice QuestionsLong Answer Type

156. A solution containing 8 g of a substance in 100 g of diethyl ether boils at 36.860C, whereas pure ether boils at 35.600C. Determine the molecular mass of the solute. (For ether Kb= 2.02 K kg mol–1) .
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157. How is osmotic pressure of a solution determined ? If the membrane used was slightly leaky, how will it influence the measured value of osmotic pressure?
Osmotic pressure of a solution containing 7 g of a protein per 103 ml of solution is 25 mm Hg at 310 K. Calculate the molecular mass or the protein. (R = 0.0821 L atm K–1 mol).
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158. Define vapour pressure of a liquid. What happens to the vapour pressure when (a) a volatile solute dissolves in the liquid and (b) the dissolved solute is non-volatile?


Every pure liquid exerts a vapour pressure in the space above it. This is the vapour pressure of the solvent over it at that particular temperature. It depends upon the nature of the solvent and the temperature.
(a) If a volatile solute is dissolved, vapour pressure of the solvent is increased.
(b) However, if a non-volatile solute is dissolved in it, the vapour pressure of the solution is lowered. This is because, in a solution, the percentage of the volatile solvent molecules, which only contributes towards vapour pressure is diminished.

Every pure liquid exerts a vapour pressure in the space above it. Thi
Fig. Decrease of vapour pressure when a non-volatile solute is added to the solvent.
Since, the solute molecules are non-volatile and show no measurable tendency to escape from the solution as vapour, consequently, the vapour pressure of a solution is always lower than that of its solvent.
Raoult’s gave a relation between the relative lowering of vapour pressure and the mole fraction of the solute. Mathematically:
fraction numerator straight p to the power of straight o minus straight p over denominator straight p to the power of straight o end fraction space equals space fraction numerator straight n over denominator straight n plus straight N end fraction space equals fraction numerator straight m divided by straight w over denominator begin display style straight m over straight w end style plus begin display style straight M over straight W end style end fraction

(mole fraction of the solute)
Using the above equation, we can determine the molecular weight of the solute, when the lowering in v.p. is known, when a known weight of the solute w, dissolved in a known wt. of the solvent W.p0 is the vapour pressure of the pure solvent and m and M are the molecular weights of solute and solvent respectively.

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159. Discuss the various types of plots between the partial vapour pressure and the mole fractions of two components of the completely miscible liquids in a solution.
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 Multiple Choice QuestionsShort Answer Type

160. Derive the relationship between relative lowering of vapour pressure and mole fraction of a volatiles liquid.
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