Dr. Vikram Panchal Institute Of Chemistry WORKSHEET-1 [JEE / NEET] Solution Q1. Calculate the masses of sugarcane & water required to prepare 250 g of 25% cane sugar solution. Q2. Calculate the molarity of the following solutions: (a) 4 g of caustic soda dissolved in 200 mL of the solution. (b) 5.3 g of anhydrous sodium carbonate is dissolved in 100 mL of solution. (c) 0.365 g of pure HCl gas dissolved in 50mL of solution. Q3. The density of a solution containing 13% by mass of sulphuric acid is 1.09 g/mL. Calculate the molarity & normality of the solution. Q4. Calculate the molarity of pure water. (d=1g/mL) Q5. Calculate the quantity of sodium carbonate (anhydrous) required to prepare 250mL solution. Q6. 214.2 g of sugar syrup contains 34.2 g of sugar. Calculate molality & mole fraction of sugar syrup. Q7. A solution contains 410.3 g of H2SO4 per lit of solution at 20C. If the density is 1.243 g/mL. What will be its molarity & molality? Q8. The density of a 2.03 M solution of acetic acid (mol mass = 60) in water is 1.017 g/mL . Calculate the molality of the solution. Q9. The density of a 3 M sodium thiosulphate (Na2S2O3) solution is 1.25 g/mL. Calculate the percentage by mass, of Na2S2O3 mole fraction of Na2S2O3 & molalities of Na+ & S2O32- ions . Q10. A solution is prepared by dissolving 5.64 g of glucose in 60 g of water. Calculate the following (a) Mass percentage of each of glucose & water (b) molality of solution. (c) Mole fraction of each of glucose & water Q11. What would be the molality of a solution made by mixing equal volume of 30% by mass of H2SO4 (d=1.218g/cm3) & 70% by mass H2SO4 (d=1.61g/cm3) ? Q12. The mole fraction of CH3OH in aqueous solution is 0.02 & its density is 0.994g/cm3. Determine the molarity & molality. Q13. Calculate the concentration of NaOH solution in g/mL, which has same normality as that of a solution of HCl of concentration 0.04 g /mL. Q14. How many Na+ ions are present in 50mL of a 0.5 M solution of NaCl? Q15. Reaction 2Br-(aq) + Cl2 (aq) 2Cl-(aq) + Br2 (aq) is used for commercial preparation of bromine from its salts . Suppose we have 50 mL of 0.06M solution of NaBr. What volume of a 0.05 M solution of Cl2 is needed to react completely with the Br- ? Q16. Calculate the molarity , molality & mole fraction of ethyl alcohol in a solution of total volume 95 mL prepared by adding 50 mL of ethyl alcohol (d=0.789 g/mL ) to 50 mL water (d=1g/mL). Q17. Calculate the concentration of CO2 in a soft drink that is bottled at partial pressure of CO2 of 4 atm over the liquid at 25C. The Henry’s Law constant for CO2 in water at 25C is 3.1x10-2 mol/lit.atm Q18. The partial pressure of ethane over a saturated solution containing 6.56 x 10-2 g of ethane is 1 bar. If the solution contains 5 x 10-2 g of ethane, then what shall be the partial pressure of the gas? Q19. The vapour pressure of ethanol & methanol are 44.5mm & 88.7 mm Hg respectively. An ideal solution is formed at same temperature by mixing 60 g of ethanol with 40 g of methanol. Calculate the total vapour pressure of the solution & mole fraction of methanol in vapour. Q20. Two liquids A & B form an ideal solution At 300K the vapor pressure of the solution containing 1 mole of A & 3 mole of B is 550 mm of Hg at the same temperature, if 1 more mole of B is added to this solution, the vapour pressure of this solution increases by 10mm of Hg . Determine the vapour pressure of A & B in their pure state. Q21. An aqueous solution containing 28% by mass of a liquid A (mol mass=140) has a vapour pressure of 160 mm at 37C. Find the vapour pressure of the pure liquid A (the vapour pressure of water at 37C =150mm ) Q22. Heptane & octane form ideal solution at 373 K, the vapour pressure of the two liquids are 105.2 kPa & 46.8 kPa respectively what will be the vapour pressure, in bars , of a mixture of 25g of heptane & 35g of octane ? Q23. 50g of a saturated aqueous solution of potassium chloride at 30C is evaporated to dryness, when 13.2 g of dry KCl was obtained. Calculate the solubility of KCl in water at 30C Q24. How much copper sulfate will be required to saturate 100 g of dilute aqueous solution of CuSO4 at 25C if 10 g of the dilute solution leave on evaporation & drying 1.2 g of anhydrous CuSO4? The solubility of CuSO4 in water at 25C is 25. Q25. Calculate the vapour pressure lowering caused by addition of 50 g of sucrose (molecular mass= 342) to 500 g of water if the vapour pressure of pure water at 25C is 23.8mm of Hg. Q26.The vapour pressure of the pure benzene at a certain temperature is 640mm Hg. A non volatile solid weighting 2.175 g is added to 39 g of benzene. The vapour pressure of the solution is 600 mm of Hg. What is the mol. Mass of the solid substance? Q27. A solution Containing 30g of a non volatile solute is exactly 90g of water has vapour pressure of 21.85 mm Hg at 25C. Further, 18g of water is then added to the solution; the new vapour pressure becomes 22.15 mm of Hg at 25C. Calculate the (a) molecular mass of solute & (b) vapour pressure of water at 25C. Q28. What mass of non volatile solute (urea) needs to be dissolved in 100g of water in order to decrease the vapour pressure of water by 25%? What will be the molality of the solution? Q29. A current of dry air was bubbled through a bulb containing 26.66g of an organic compound in 200 g of water, then through a bulb at the same temperature , containing water & finally through a tube containing anhydrous calcium chloride. The loss of mass in bulb containing water was 0.087 g & gain in mass of the calcium chloride tube was 2.036 g. Calculate the molecular mass of the organic substance. Q30. The vapour pressure of a dilute aqueous solution Of glucose is 750mm Hg at 373K. Calculate molality & mole fraction of the solute Q31. Calculate the vapour pressure of an aqueous solution which contain 5 mass percent of urea. The vapour pressure of pure water is 23.5mm Hg. Molar mass of urea is 60. Q32. 10g of glucose (mol mass=108) & 20 g of sucrose (mol. Mass =342) are dissolved in 100 g of water. What will be the vapour pressure of the resultant sol if the vapour pressure of water is 35mm Hg? Q33. Calculate the vapour pressure of aqueous solution of 1 m glucose solution at 100C Q34. The vapour pressure of pure benzene at 50C is 268mm of Hg . How many mole of non volatile solute per mole of benzene are required to prepare a solution Of benzene having a vapour pressure 167 mm of Hg at 50C ? Q35. On dissolving 10.8 g glucose (m. wt. =180) in 240 g of water, its boiling point increases by 0.13C. Calculate the molal elevation constant of water. Q36. A solution of a non volatile solid in 100 g benzene is boiled at 0.42C higher than the boiling point of pure benzene. Calculate the molecular mass of the substance. Molal elevation constant of benzene is 2.67Kg/mol Q37. The molal elevation constant for water is 0.56Kg/mol. Calculate the boiling point of a solution made by dissolving 60 g of urea in 200 g of water. Q38. By dissolving 13.6 g of a substance in 20g of water, the freezing point decreases by 3.7C. calculate the molecular mass of the substance. (Molal depression constant for water =1.863K kg/mol) Q39. On dissolving 0.25 g of a nonvolatile substance in 30 mL benzene (d=0.8g/mL), its freezing point decreases by 0.4C. Calculate the molecular mass of non volatile substance (Kf =5.12K kg/mol) Q40. A solution of 1.25 g of a certain non volatile substance in 20g of water freezes at 271.94 K. Calculate the molecular mass of the solute (Kf =1.86K kg/mol ) Q41. Two elements A & B form compounds having molecular formulae AB2 & AB4. When dissolved in 20 g of benzene, 1 g of AB2 lowers the freezing point by 2.3C, whereas 1g AB4 lowers the freezing point by 1.3C. The molal depression constant for benzene in 1000 g is 5.1. Calculate the atomic masses of A & B? Q42. 1.355 g of a substance dissolved in 55 g of CH3COOH produced a depression in the freezing point of 0.618C Calculate the molecular weight of the substance (Kf = 3.85 ) Q43. An aqueous solution of a non volatile solute boils at 100.17C. At what temperature will the solution freeze? (Given: Kb=0.512K kg/mol & Kf =1.86K Kg/mol) Q44. 18 g of glucose is dissolved in 1 Kg of water in a saucepan. At what temperature will the water boil? (1.013 bar pressure)? Kb of water =0.52K kg/mol. Q45. A solution of urea in water has boiling point of 100.15C. Calculate the freezing point of the same solution if Kf & Kb for water are 1.876K kg/mol & 0.52K kg/mol resp. Q46. In a cold climate, water gets frozen causing damage to the radiator of a car. Ethylene glycol is used as an anti freezing agent. Calculate the amount of ethylene glycol to be added to 4 kg water to prevent it from freezing at -6C (Kf of water = 1.85 K kg/mol) Q47. A solution Containing 0.2563 g of naphthalene ( mol mass =128 ) in 50 g of carbon tetrachloride yields a boiling point elevation of 0.201C while a solution Of 0.6216 g of an unknown solute in same mass of the solvent gives a boiling point elevation of 0.647C . Find the molecular mass of the unknown solute. Q48. 200cm3 of an aqueous solution contains 1.26 g of a polymer. The osmotic pressure of such solution is 300K is found to be 2.57x10-3 bar. Calculate the molar mass of the polymer. Q49. A solution is prepared by dissolving 1.08 g of human serum albumin, a protein obtained from blood plasma, in 50 cm3 of aqueous solution The solution has an osmotic pressure of 5.85 mm Hg at 298K: (a) What is molar mass of albumin? (b) What is the height of water column placed in solution? [density of water = 1 gm cm-3] Q50. Calculate the osmotic pressure of 5% solution of cane sugar (sucrose) at 15C? Q51. The solution containing 10g of an organic compound per litre Showed an osmotic pressure of 1.18 atm. at 0C. Calc the molecular mass of the compound (S=0.0821 lit. atm. Per degree per mol) Q52. The osmotic pressure of a solution containing 30 g of a substance in 1 litre of solution at 20C is 3.2 atm. Calculate the value of S & molar mass of solute is 228 Q53. What is the volume of the solution Containing 1 g mole of sugar that will give raise to an osmotic pressure of 1 atm. at 0C? Q54. Find the osmotic pressure of M/20 solution of urea at 27C(R=0.0821 lit atm/K mol) Q55. The osmotic pressure of a solution of an organic substance containing 18g in 1 litre of solution at 293K is 2.414x105 N/m2. Find the molecular mass of the substance if R = 8.3 J/Kmol. Q56. A 5% solution of cane sugar is isotonic with 0.877% solution of urea. Calculate the molecular mass of urea if the molecular mass of cane sugar is 342. Q57. Phenol associates in benzene to a certain extent for a dimer. A solution containing 20x10-3 kg of phenol in 1 kg of benzene has its freezing point decrease by 0.69 K. Calc the fraction of phenol that has dimerised (Kf of benzene = 5.12K kg/mol ) Q58. The freezing point depression of 0.001m Kx[Fe(CN)6] is 7.1x10-3 K . Determine the value of x. (Kf of water= 1.86 K kg/mol) Q59. A solution of potassium ferrocyanide is 46% dissociated at 18C. What will be its osmotic pressure? Q60. A 0.5% aqueous solution Of KCl was found to freeze at -0.24C. Calc the Van’t hoff factor & degree of dissociation of the solute at this concentration (Kf of water=1.86 K kg/mol) Q61. The freezing point of a solution containing 0.2 g of acetic acid in 20g of benzene id lowered down by 0.45C. Calculate the degree of association of acetic acid in benzene (Kf of benzene = 5.12 K kg/mol)
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