Moles and Molar Mass

AP Chemistry· difficulty 3/5

To determine the molar mass of a volatile liquid by the Dumas method, a student adds ~2 mL of unknown liquid to a flask sealed with foil pierced by a pinhole. Mass of empty flask + foil = 71.250 g. The flask is heated in a 100.0 C water bath until all liquid is vaporized and excess vapor escapes. After cooling, the flask is wiped dry and reweighed: 72.105 g. Flask volume = 248.0 mL; atmospheric pressure = 1.00 atm.

foil + pinhole 100 C bath V=248.0 mL, mass vapor=0.855 g

What is the molar mass of the unknown liquid?

  • A

    106 g/mol

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  • B

    232 g/mol

  • C

    32 g/mol

  • D

    85 g/mol

Explanation

Mass of vapor = 0.855 g. n = PV/RT = (1.00)(0.2480) / (0.08206 * 373.2) = 8.10e-3 mol. M = 0.855/8.10e-3 = 106 g/mol.

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