Henry's law states that the solubility of a gas is directly proportional to its partial pressure, LaTeX: S_g=k/cdot P_gS g = k ⋅ P g, where Sg is the solubility of the gas, Pg is the partial pressure of the gas, and k is the Henry's law constant for a specific gas at a specified temperature. What is the millimolar solubility of oxygen when the atmospheric pressure is 705 mmHg? Air is composed of 21% oxygen by moles. The Henry's law constant for oxygen is 1.3x10-3 mol/L-atm.

Enter your answer numerically in units of mM to three significant figures.

Question

Chemistry

Julien Mason

3 June, 22:05

Henry's law states that the solubility of a gas is directly proportional to its partial pressure, LaTeX: S_g=k/cdot P_gS g = k ⋅ P g, where Sg is the solubility of the gas, Pg is the partial pressure of the gas, and k is the Henry's law constant for a specific gas at a specified temperature. What is the millimolar solubility of oxygen when the atmospheric pressure is 705 mmHg? Air is composed of 21% oxygen by moles. The Henry's law constant for oxygen is 1.3x10-3 mol/L-atm.

Enter your answer numerically in units of mM to three significant figures.

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Answers (1)

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Jayson Diaz · Answer 1

253 mmol

Explanation:

The solubility is calculated by the given equation:

S (g) = k P (g)

where k = 1.3 x 10⁻³ mol/L-atm

and P (g) = 0.21 (705 mmHg/760 mmHg/atm) = 0.195 atm

Notice the pressure is converted to atm because Henry's constant is in units of atmospheres, and also we multiplied by 0.21 oxygen composition.

S (g) = 1.3 x 10⁻³ mol/L-atm x 1000 mmol/mol x 0.195 atm x = 253 mmol

Here we did multiply by the factor 1000 mmol/mol since the mmol concentration is required in the answer.