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Air is a mixture gases. It contains 20% by volume of O 2 gas and 79% by volume of N 2 gas at 298K. Water is in quilibrium with air at a pressure of 10 atmospheres. KH for O 2 and N 2 at 298 K are 3.30x10 7 mm and 6.51x 10 7 mm respectively. Determine the composition of these gases in water.

 Air is a mixture gases. It contains 20% by volume of O2 gas and 79% by volume of N2 gas at 298K. Water is in quilibrium with air at a pressure of 10 atmospheres. KH for O2 and N2 at 298 K are 3.30x107mm and 6.51x 107 mm respectively. Determine the composition of these gases in water.

Grade:11

1 Answers

Sakshi
askIITians Faculty 652 Points
8 years ago
We are given that the total pressure of air above water = P = 10 atm.
partial pressure of O2 in air above water = P1
partial pressure of N2 above water = P2

Volume of air above water = V
Volume of O2 = V1 = 0.20 V
Volume of N2 = V2 = 0.79 V
let n1 moles of Oxygen and n2 moles of N2 be present in air in volume V.
Let n = total number of moles of gases in air

From Daltons' law of partial pressures and the law of ideal gas mixture:

V1/V = P1/P = n1/n
V2/V = P2/P = n2/n
P1=(V1/V)*P=0.20*10=2.0 atm
P2=P*(V2/V)=0.79*10=7.9 atm


Henry's law for solubility : p=kH/ c
where p = partial presssure of the gas above the liquid in equilibrium with solution
[kH] Henry's constant
c = molar concentration of the gas in moles/Litre in the solution
On applying th above mentioned formula, one can easily find the concentration of oxygen and nitrogen in water.

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