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Question 1 of 5

The mole fraction of Sucrose in Syrup BP is 0.0954. If the density of the Syrup is 1.332 g/ml, what is the molarity of Sucrose in the Syrup? Answer to 4 significant figures. (RMM of Water = 18.02).

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M
The molarity of the solution is 2.597 M.
  1. For every 1 mole of ALL components present:
    Number of moles of Sucrose = 0.0954 moles
    Number of moles of Water      = 1 - 0.0954 = 0.9046 moles
  2. Find the mass of solution when there is a total of 1 mole of all components present.
    Mass of Sucrose = Moles x RMM = 0.0954 x 342.0 g = 32.6268 g
    Mass of Water      = Moles x RMM = 0.9046 x 18.02g = 16.3008 g
    Mass of Solution  = Mass of Sucrose + Mass of Water = 32.6268 + 16.3008 g = 48.9276 g
  3. Find the volume of 48.0276 g of solution - use the given density of 1.332 g/ml.
    1.332 g of solution has a volume of 1 ml. Thus:
    48.9276 g of solution has a volume of 48.9276/1.332 ml = 36.7324 ml
  4. Find the number of moles of Sucrose in 1000 ml of solution.
    36.7324 ml of solution contains 0.0954 moles of Sucrose. Thus:
    1000 ml of solution contains 1000/36.7324 x 0.0954 moles = 2.5971 moles
The concentration of Sucrose is 2.597 moles/1000 ml ie 2.597 M to 4 sig figs.

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Question 2 of 5

The mole fraction of Potassium Chloride in an aqueous solution is 0.0025. What is the molality of the aqueous solution? (RMM of Water = 18.02) Answer to 4 significant figures.

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molal
The molality of the solution is 0.1391 molal.
  1. For every 1 mole of ALL components present:
    Number of moles of Potassium Chloride = 0.0025 moles
    Number of moles of Water = 1 - 0.0025  = 0.9975 moles
  2. Find the mass of 0.9975 moles of Water.
    Mass of Water = Moles x RMM = 0.9975 x 18.02 g = 17.97495 g
  3. Find the moles of Potassium Chloride associated with 1000 g of Water.
    17.97495 g of Water are associated with 0.0025 moles of Potassium Chloride. Thus:
    1000 g of Water are associated with 1000/17.97495 x 0.0025 moles of KCl
    1000 g of Water are associated with 0.13908 moles of KCl
The concentration of KCl is 0.1391 moles/1000 g of solvent ie 0.1391 molal to 4 sig figs.

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Question 3 of 5


The mole fraction of Chlorhexidine Gluconate (RMM 897.7) in an aqueous solution is 0.00462. The density of the solution is 1.065 g/ml. What is the concentration expressed as % w/v of Chlorhexidine Gluconate? (RMM of Water = 18.02). Answer to 1 decimal place.

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% w/v
The concentration of Chlorhexidine Gluconate is 20.0 % w/v.
  1. For every 1 mole of ALL components present:
    Moles of Chlorhexidine Gluconate = 0.00462 moles
    Moles of Water     = 1 - 0.00462    = 0.99538 moles
  2. Find the total mass of solution containing 1 mole of all components.
    Mass of Chlorhexidine = Moles x RMM = 0.00462 x 897.7 g = 4.1473 g
    Mass of Water             = Moles x RMM = 0.99538 x 18.02 g = 17.9367 g
    Total mass of solution  = 4.1473 g + 17.9367 g = 22.0840 g
  3. Find the volume of solution containing 1 mole of all components.
    1.065 g of solution has a volume of 1 ml. Thus:
    22.0840 g of solution has a volume of 22.0840/1.065 ml = 20.73615 ml
  4. Find the mass of Chlorhexidine Gluconate in 100 ml of solution.
    20.73615 ml of solution contains 4.1473 g of Chlorhexidine Gluconate. Thus:
    100 ml of solution contains 100/20.73615 x 4.1473 g = 20.00 g of Chlorhexidine.

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Question 4 of 5

The mole fraction of Sodium Chloride in an aqueous solution of Sodium Chloride is 0.0056. What is the concentration expressed as % w/w of Sodium Chloride? (RMM of Water = 18.02). Answer to 2 decimal places.

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% w/w
The concentration of Sodium Chloride is 1.80 % w/w.
  1. For every 1 mole of ALL components present:
    Moles of Sodium Chloride = 0.0056 moles
    Moles of Water = 1 - 0.0056 = 0.9944 moles
  2. Find the mass of solution containing a total of 1 mole of components.
    Mass of Sodium Chloride = Moles x RMM = 0.0056 x 58.5 g = 0.3276 g
    Mass of Water                  = Moles x RMM = 0.9944 x 18.02 g = 17.919 g
    Total Mass of Water = Mass of NaCl + Mass of Water = 0.3276 + 17.919 g = 18.2466 g
  3. Find the mass of Sodium Chloride in 100 g of solution.
    18.2466 g of solution contains 0.3276 g of Sodium Chloride. Thus:
    100 g of solution contains 100/18.2466 x 0.3276 g = 1.795 g of Sodium Chloride.
The concentration of Sodium Chloride is 1.80 g/100 g ie 1.80 % w/w to 2 dec pl.

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Question 5 of 5

The mole fraction of Sodium Acid Phosphate BP (RMM 156.0) in an aqueous solution is 0.0038. What is the normality of the solution? The density of the solution is 1.008 g/ml. Answer to 4 significant figures.

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N
The normality of the solution is 0.2066 N.
  1. For every 1 mole of ALL components:
    Moles of Sodium Acid Phosphate = 0.0038 moles
    Moles of Water = 1 - 0.0038         = 0.9962 moles
  2. Find the mass of solution containing a total of 1 mole of components.
    Mass of SAP    = Moles x RMM = 0.0038 x 156.0 g = 0.5928 g
    Mass of Water = Moles x RMM = 0.9962 x 18.02 g = 17.9515 g
    Mass of Solution = Mass of SAP + Mass of Water = 0.5928 g + 17.9515 g = 18.5443 g
  3. Find the volume of 18.5443 g of solution - use the given density of 1.008 g/ml.
    1.008 g of solution has a volume of 1 ml. Thus:
    18.5443 g of solution has a volume of 18.5443/1.008 ml = 18.3971 ml
  4. Find the mass of Sodium Acid Phosphate in 1000 ml of solution.
    18.3971 ml of solution contains 0.5928 g of SAP. Thus:
    1000 ml of solution contains 1000/18.3971 x 0.5928 g = 32.222 g of SAP.
  5. Find the number of equivalents of SAP in 1000 ml of solution. One equivalent = 156.0 g
    Number of equivalents = Mass of SAP/Mass of Equivalent = 32.333/156 = 0.20655 Eqs

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The % w/v of any component is the number of grams of that component contained in 100 cm3 (or 100 ml) of the total product.
The molarity of any component is the number of moles
of that component in 1000 cm3 of the total system.
The molality of a component in a solution is the number of moles of that component associated with one kilogram of the SOLVENT.
The mole fraction of a component within a system is the ratio
of the number of moles of that component to the total number
of moles of all components within the system.
The Normality of a component is the number of gram equivalents of that componet in 1000 cm3 (or 1 litre) of the total system.
The % w/w of any component is the number of grams of that component contained in 100 grams of the total product.
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