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Using henry's law, calculate the molar concentration of o2 in the surface water of a mountain lake saturated with air at 20 ∘c and an atmospheric pressure of 685 torr .

Respuesta :

The molar concentration of O2 is 0.00026 mol/L

Data;

  • Pressure = 685 torr
  • Temperature = 20°C
  • Partial pressure of O2 at sea level = 0.21atm

Convert the pressure from torr to atm

[tex]685torr(\frac{1}{760})=0.901atm[/tex]

The solubility of O2 at 1atm = 1.38*10^-3 mol/L

from the 0.901atm of pressure, 21% is from oxygen

The partial pressure of oxygen = 0.901 * 0.21 = 0.189 atm

Henry' Law

The formula is given as

[tex]S = K_HP\\[/tex]

  • S = solubility
  • K = Henry's constant
  • P = partial pressure

From the formula above,

[tex]\frac{S_1}{S_2} = \frac{P_1}{P_2}[/tex]

substituting the values and solve for the concentration

[tex]\frac{S_1}{S_2}=\frac{P_1}{P_2} \\\frac{1.38^-^3}{S_2}= \frac{1}{0.189} \\ S_2 = 1.38*10^-^3 * 0.189\\S_2 = 0.00026mol/L[/tex]

Therefore, the molar concentration of O2 is 0.00026mol/L

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