Solution:
1) Determine the moles of HF in 100.0 grams of 48.0% solution:
48.0 g of the 100.0 g is HF
Moles of HF = Mass of HF / Molar mass of HF
The molar mass of HF is 20.01 g/mol.
Hence,
Moles of HF = 48.0 g / 20.01 g mol-1 = 2.3988 mol
2) Calculate the volume of solution which contains 2.3988 mol of HF:
Volume of solution = Mass of solution / Density of solution
Hence,
Vsolution = 100.0 g / 1.17 g mL-1 = 85.47 mL = 0.08547 L
3) Calculate the molarity of solution:
CM = Moles of HF / Volume of solution
Hence,
CM = 2.3988 mol / 0.08547 L = 28.066 mol/L = 28.1 M
Answer: the molarity (CM) of concentrated solution of HF is 28.1 M.
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