what is the vapor pressure of water above a solution prepared by dissolving 28.5 g glycerin (C_(3)H_(8)O_(3)) in 0.125 kg water at 243 K. The vapor pressure of pure water at that temperature is 233.70 torr.
From Raoult's law, Psolution=Xsolvent×PsolventP_{solution}=X_{solvent}×P_{solvent}Psolution=Xsolvent×Psolvent
Where denotes vapor pressure, and X represent mole fraction.
Molefraction=molesofsolventmolesofsolute+molesofsolventMole fraction =\frac{moles of solvent}{moles of solute+moles of solvent}Molefraction=molesofsolute+molesofsolventmolesofsolvent
Vaporpressure=0.125×10001828.592+0.125×100018×233.7=223.72Vapor pressure=\frac{\frac{0.125×1000}{18}}{\frac{28.5}{92}+\frac{0.125×1000}{18}}×233.7=223.72Vaporpressure=9228.5+180.125×1000180.125×1000×233.7=223.72
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