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A solution of benzene in the solvent tetrahydrofuran has a mole fraction of C6H6 of 0.293.?

A solution of benzene in the solvent tetrahydrofuran has a mole fraction of C6H6 of 0.293. What mass (g) of the solution must be taken if 2220 g of benzene is needed?

other helpful information:

Molar Mass (g/mol)

C6H6 78.12

C4H8O 72.12

Density (kg/m3):

C6H6 878.6

C4H8O 889.2

Name/Formula:

benzene

C6H6

tetrahydrofuran

C4H8O

any help is appreciated. i'm really lost on how to solve this problem.

1 Answer

Relevance
  • Anonymous
    1 decade ago
    Favorite Answer

    You can rewrite the mole fraction as:

    (0.293 moles C6H6)/(0.707 moles THF)

    Now with this conversion we can determine the amount of THF present in solution:

    (2220 g C6H6) x [(1 mole C6H6)/(78.12 g)] x [(0.707 moles THF)/(0.293 moles C6H6)] x [(72.12 g THF)/(1 mole THF)] = 4945 g THF

    Therefore, the mass of the solution is (2220 g + 4945 g) = 7165 g solution.

    Cheers.

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