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question_answer1) What is the molar solubility of \[Al\,{{(OH)}_{3}}\] in 0.2 M NaOH solution? Given that, solubility product of \[Al\,{{(OH)}_{3}}=2.4\times {{10}^{-\,2}}\]
question_answer2) At room temperature, a dilute solution of urea is prepared by dissolving 0.60 g of urea in 360 g of water. If the vapour pressure of pure water at this temperature is 35 mmHg, what will be the lowering of vapour pressure? (molar mass of urea =\[60\text{ }g\text{ }mo{{l}^{-\,1}}\])
question_answer3) Molal depression constant for a solvent is\[4.0\text{ }K\text{ }kg\text{ }mo{{l}^{-\,1}}\]. Calculate the depression in the freezing point (in K) of the solvent for \[0.03\text{ }mol\text{ }k{{g}^{-\,1}}\] solution \[{{K}_{2}}S{{O}_{4}}\]. (Assume complete dissociation of the electrolyte)
question_answer4) The osmotic pressure of a dilute solution of an ionic compound XY in water is four times that of a solution of \[0.01\,M\,\,BaC{{l}_{2}}\] in water. Assuming complete dissociation of the given ionic compounds in water, find the concentration of XY \[(in\text{ }mol\text{ }{{L}^{-\,1}})\] in solution.
question_answer5) Calculate the amount of sodium chloride (in g) which must be added to 1000 mL of water so that its freezing point is depressed by 0.744K. For water, \[{{K}_{f}}=1.86\,K/m\]. Assume density of water to be \[1\text{ }g\text{ }m{{L}^{-\,1}}.\]
question_answer6) What weight of the non-volatile solute (in g), urea \[(N{{H}_{2}}-CO-N{{H}_{2}})\] needs to be dissolved in 100g of water, in order to decrease the vapour pressure of water by 25%?
question_answer7) A bottle of commercial sulphuric acid (density 1.787 g/mL) is labelled as 86 percent by weight. What volume of the acid has to be used to make 1 litre of \[0.2\,M\,{{H}_{2}}S{{O}_{4}}?\]
question_answer8) 0.5 gm of fuming \[{{H}_{2}}S{{O}_{4}}\] (Oleum) is diluted with water. This solution is completely neutralized by 26.7 ml of 0.4 N NaOH. Find the percentage of free \[S{{O}_{3}}\] in the sample of oleum.
question_answer9) The vapour pressure of pure benzene at a certain temperature is 640mm Hg. A non-volatile solid weighing 2.175g is added to 39.0g of benzene. The vapour pressure of the solution is 600mm Hg. What is the molecular weight (in g) of the solid substance?
question_answer10) 0.400 g of an acid HA (mol. mass = 80) was dissolved in 100 g of water. The solution showed a depression of freezing point of 0.12 K. What will be the dissociation constant (in multiple of \[{{10}^{-\,3}}\]) of the acid at about \[0{}^\circ C\]? Given \[{{K}_{f}}(water)=1.86\text{ }K\text{ }Kg\text{ }mo{{l}^{-\,1}}\] (Assume molarity of solution \[\approx \] molality)
question_answer11) An element X (Atomic mass =25) exists as \[{{X}_{4}}\] is benzene. 51g of saturated solution of X in benzene was added to 50.0 g of pure benzene. The resulting solution showed a depression of freezing point of 0.55 K. Find the solubility of X per 100 g of benzene. \[{{K}_{f}}\,for\,\,benzene=5.5\,K\,kg\,mo{{l}^{\,-~1}})\]
question_answer12) At \[10{}^\circ C,\] the osmotic pressure of urea solution is 500 mm. The solution is diluted and the temperature is raised to \[25{}^\circ C,\] when the osmotic pressure is found to be 105.3 mm, determine extent of dilution.
question_answer13) A mixture of two immiscible liquids nitrobenzene and water boiling at \[~99{}^\circ C\] has a partial vapour pressure of water 733 mm and that of nitrobenzene 27 mm. Find the ratio of the weights of nitrobenzene to the water in distillate.
question_answer14) A solution containing 28 g phosphorus in 315 g \[C{{S}_{2}}(b.pt.\,46.\,3{}^\circ C)\] boils at \[47.98{}^\circ C\]. \[K{{'}_{b}}\] for \[C{{S}_{2}}\] is \[2.34\text{ }K\text{ }mo{{l}^{-\,1}}\text{ }kg\]. What are the no. of phosphorus atom present in its molecular formula?
question_answer15) Calculate the molality of 1 litre solution of 93% \[{{H}_{2}}S{{O}_{4}}\] (weight/volume). The density of the solution is 1.84 g/mL.
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