find the mole fraction of O2 in a staurated solutions of oxygen in water at 25°C when the partial pressure of O2 above the water is 0.21 atm. Given that Henry's constant for O2 in water at 25°C is 2.3× 10-51 atm
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Solution:-
☞Total pressure is 1 atm. The mole fraction of oxygen is 0.21.
Hence, the partial pressure of oxygen is 0.21×1=0.21 atm
According to Henry's law, S=KP
S is the solubility in moles per litre
K is the henry's law constant
P is the pressure in atm.
Substitute values in the above expression.
S=1.3×10−4Matm−1×0.21atm=2.73×10−5M
Thus 2.73×10−5 moles of oxygen are dissolved in 1 L of water.
This corresponds to 2.73×10−5×32=8.736×10−4 g or 0.8736 mg of oxygen in 1 liter of solution.
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GiVEN
- W = 5g
- WA = 95g
- MB = 60.05gmol^−1
- MA = 18gmol^−1
- P0A = 3.165kPa
Putting the values in expression
PAo − P = MB×WA / WB×MA
3.165 kPa − P = 60.05gmol−1×95g / 5g×18gmol−1
3.165 kPa − P =0.015
P = 3.165kPa − 0.015
P = 3.118kPa
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