Example questions for the critical item 12.

Critical item 12:

1.
Calculate the vapor pressure of water at 25oC if 10.0 g of ethanol (molar mass = 32 g/mol) is dissolved in 500 g of pure water.  The vapor pressure of pure water at 25oC is 23.8 torr.
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2.
How much sodium chloride (formula mass = 58.5 g/mol) is required to lower the vapor pressure of water by 10% if one starts with 500 L of water?
                                                                                                                                                                                        answer
 

3
5.0 g of butanol (C4H9OH) is added to 100 g of ethanol (C2H5OH) at the boiling point of ethanol.  What is the resultant vapor pressure of the ethanol.
                                                                                                                                                                                       answer
 


1 ANS

nsolute = m / M

nsolute = 10.0 g / 32.0 g mol-1

nsolute = 0.313 mol

(Caution:  Here the van't Hoff factor is 1 - remember if you have an electrolyte you must multiply by the van't Hoff factor!)

nsolvent = m / M

nsolvent = 500.0 g / 18.02 g mol-1

nsolvent = 27.75 mol

nTotal = 28.06 mol

Xsolventnsolvent / nTotal

Xsolvent = 27.75 mol / 28.06 mol

Xsolvent = 0.989

Psolvent = XsolventPosolvent

Psolvent = 0.989 (23.8 torr)

Psolvent = 23.5 torr

 



2 ANS 

Psolvent = XsolventPosolvent 

since: Psolvent = 0.90 Posolvent    then Xsolvent= 0.90

nsolvent = m / M

nsolvent = 500.0 g / 18.02 g mol-1

nsolvent = 27.75 mol

Xsolventnsolvent / nTotal

0.90 = 27.75 mol / (27.75 mol + ntotal solute)

ntotal solute = 3.08 mol

nNaCl = ntotal solute / 2

nNaCl = 1.54 mol

mNaCl = 90.1 g


 

  



 

3 ANS 

nsolvent = m / M

nsolvent = 100.0 g / 46.0 g mol-1

nsolvent = 2.17 mol

nsolute = 5.0 g / 74.0 g mol-1

nsolute = 0.068 mol

Xsolventnsolvent / nTotal

Xsolvent =  2.17 mol / (2.17 mol + 0.068 mol )

Xsolvent =  0.969

Psolvent = XsolventPosolvent 

Psolvent0.969 x 1.00 atm

Psolvent0.969 atm