The Effect of Pressure on Solubility solubility= k ? P Part A Air is a mixture o

Question

The Effect of Pressure on Solubility

solubility=k?P

Part A

Air is a mixture of gases that is about 78.0% N2 by volume. When air is at standard pressure and 25.0 ?C, the N2 component will dissolve in water with a solubility of 4.88

The Effect of Pressure on Solubility

The solubility of gas in a liquid is profoundly affected by pressure. This relation is expressed by Henry's law, which states that the solubility of a gas in a liquid, expressed in moles per liter (or M), at a given temperature is directly proportional to the partial pressure of the gas over the solution. This relation can be expressed mathematically as

solubility=k?P

The constant k is characteristic of the specific gas and P is the partial pressure of the gas over the solution usually expressed in atmospheres. The constant k usually has units of moles per liter per atmosphere and is reported at 25 ?C. This expression can be used to calculate any of the three variables provided that the other two are known for any gas.

Part A

Air is a mixture of gases that is about 78.0% N2 by volume. When air is at standard pressure and 25.0 ?C, the N2 component will dissolve in water with a solubility of 4.88

Explanation / Answer

By henry's law, we have
caq =k*P

the partial pressure of N2 = total pressure * x
x = molal fraction of gas
here x = 78% = 0.78 atm
so

k = 4.88 * 10-4/0.78 = 6.256 * 10-4 by atmosphere

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