One or more options correct
g of benzoic acid () is dissolved in g of benzene (). The observed depression in freezing point is K. Assuming the acid exists only as monomers and dimers () in benzene, select the correct statement(s).
- A. The van't Hoff factor is .
- B. The degree of association of benzoic acid is .
- C. The apparent molar mass of the solute is .
- D. The mole fraction of the dimer among the dissolved solute species is .
Show answer and solution
Answer: A
Molality assuming no association: , so the expected depression is K. Observed is K, hence (A is correct). For dimerisation, if a fraction of the monomers associates, total particles per mole of monomer, so , i.e. , not (B is wrong; it confuses with ). Association reduces the number of particles, so the apparent molar mass is , not (C is wrong). Species per mole of monomer units: monomer , dimer , total , so the dimer fraction is (D is wrong). Only A is correct.
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