# Problem: The partial pressure of O2 in air at sea level is 0.21 atm . The solubility of O2 in water at 20 oC , at 1 atm gas pressure, is 1.38 10-3  M (from Table 13.1 in your textbook).Using Henrys law and the data in the introduction, calculate the molar concentration of O2 in the surface water of a mountain lake saturated with air at 20 oC and an atmospheric pressure of 670 torr .

###### FREE Expert Solution

We’re being asked to calculate the molar concentration of O2 in the surface water of a mountain lake saturated with air at 20 oC and an atmospheric pressure of 670 torr.

Recall that the solubility of a gas is given by Henry’s law:

$\overline{){{\mathbf{S}}}_{{\mathbf{gas}}}{\mathbf{=}}{{\mathbf{k}}}_{{\mathbf{H}}}{\mathbf{·}}{{\mathbf{P}}}_{{\mathbf{gas}}}}$

where:

Sgas = solubility of the gas (in mol/L or M)

kH = Henry’s law constant for the gas

Pgas = partial pressure of the gas

For this problem, we need to do the following steps:

Step 1: Calculate the Henry’s Law constant, kof O2 based on the given solubility and pressure at 20 oC using Henry's Law

Step 2Calculate the mole fraction of O2 in the air at the mountain lake

Step 3Determine the partial pressure of O2 at the mountain lake from the given atmospheric pressure

Step 4:Calculate the molar concentration or solubility of O2 in the surface water

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###### Problem Details

The partial pressure of O2 in air at sea level is 0.21 atm . The solubility of O2 in water at 20 oC , at 1 atm gas pressure, is 1.38 10-3  M (from Table 13.1 in your textbook).

Using Henrys law and the data in the introduction, calculate the molar concentration of O2 in the surface water of a mountain lake saturated with air at 20 oC and an atmospheric pressure of 670 torr .