1. Calculate the vapor pressure of a solution made by dissolving 65.0 g CaCl2, C6H12O6, in 655 g of water. The vapor pressure of pure water is 47.1 torr at 37°C.
2. What is the vapor pressure of an aqueous solution that has a solute mole fraction of 0.2000? The vapor pressure of water is 35.576 mmHg at 25 °C.
1.
To use Raoult's Law , we need to calculate the mole fraction of water (the solvent) in this salt-water solution.
Psolution = Xsolvent * P0solvent
The molar mass of CaCl2 is 111 g/mol and of water is 18 g/mol. So,
and
but this is really:
nCa²+ = 0,586 mol
nCl- = 1,172 mol
nwater = 36,39mol
Note that this still relatively dilute. The pressure of the solution is then calculated via Raoult's Law
Psolution = 0.954 × 47.1= 44.93torr
2.
χsolv = 1.0000 − 0.2000 = 0.8000 <--- solv means solvent
Use Raoult's Law:
Psolution = (χsolvent) (P0solvent)
x = (0.8000) * (35.576)
x = 28.46 mmHg
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