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What is the molar concentration of a 32.5 wt% sucrose solution? The density of the solution is 1.139 g/mL.

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What is the molar concentration of a 32.5 wt% sucrose solution? The density of the solution is 1.139 g/mL.

The molar concentration of a 32.5wt% sucrose solution is 1.08M

  • The wt% is the mass of solute in 100g of a solution. Hence, if sucrose contains 32.5wt% solution, this means there are:

32.5 ÷ 100 = 0.325g of sucrose in the solution.

  • The molar concentration can be calculated as follows:

Molar conc. = Density (g/L) × weight of sucrose (g) ÷ molecular mass of sucrose (g/mol)

  1. Density of solution = 1.139g/mL = 1.139 × 1000 = 1139g/L
  2. Molar mass of sucrose (C12H22O11) = 12(12) + 1(22) + 16(11)

= 144 + 22 + 176

= 342.3g/mol

Molar conc. = (1139g/L × 0.325) ÷ 342.3g/mol

Molar conc. = 370.18 ÷ 342.3

Molar conc. = 1.08M or mol/L

Therefore, the molar concentration of a 32.5wt% sucrose solution is 1.08M.

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