Biphenyl, C12H10, is a nonvolatile, nonionizing solute that is soluble in benzene, C6H6. At 25 °C, the vapor pressure of pure benzene is 100.84 torr. What is the vapor pressure of a solution made from dissolving 16.0 g of biphenyl in 25.9 g of benzene?
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dP = xsolute * P°solvent
P°solvent = 100.84 torr
x solute = mol of solute / (total mol)
MW of bipheyl =154.21
mol of solute = mass/MW = 16.0/154.21 = 0.103754 mol of bipheyl
MW of benzene= 78.11
mol benzne = mass/MW = 25.9/78.11 = 0.331583 mol of benzene
then
total mol = 0.103754 +0.331583 = 0.435337
x solute = 0.103754 /0.435337 = 0.23833
then
dP = xsolute * P°solvent = 0.23833*100.84 = 24.0331972
Pmix = Psolvent - d P = 100.84-24.0331972 = 76.806 torr
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