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9. If the packing coefficient for a pure liquid s 0.81 then 81% of the bulk liqu

ID: 815497 • Letter: 9

Question

9. If the packing coefficient for a pure liquid s 0.81 then 81% of the bulk liquid's volume would actually be occupied by molecules and the rest of the volume would be empty space between molecules. The higher the packing coefficient, the closer the molecules are packed together. At 20.0 degree C, pure liquid benzene (C8H8) has a density of 0.877 g/mL. The molar mass of benzene is 78.1 g/mol If a single molecule of benzene occupies a volume of 69.7 A^3, what is the packing coefficient for liquid benzene? That is, what fraction of the volume of bulk liquid benzene is actually occupied by molecules? (0.2 pts) packing coefficient = (volume occupied by molecules) / (volume occupied by the bulk liquid)

Explanation / Answer

mass/density =volume

78.1g/0.877g/ml=89.05ml/mol=89.05cm3/mol

1A3=1x10^-24cm3

total volume of liquid i A3=89.0x10^25A3

volume occpied by molecules =6.023x10^23x69.7A3 =4.19x10^25A3

volume occupied by bulk liquid=89.0x10^25A3-4.19x10^25A3 =4.7x10^25A3

packing co-efficient=4.19x10^25A3 /4.7x10^25A3=0.89

89% of liquid occupied by molecules