The solubility of O2 in water is 0.590 g/L at an oxygen pressure of around 14.5 atm. What is the Henry's law constant for O2 (in units of mol/L·atm)? Select one: a. 4.07 x 10–2 b. 1.27 x 10–3 c. 7.86 x 102 d. 2.67 x 10–1 e. None of the above are within 5% of the correct answer.

Respuesta :

Answer:

option, b Henry's constant = [tex]1.27\times 10^_{-3} [/tex] mol/L atm

Explanation:

Given:

Solubility of [tex]O_2 = 0.590\;g/L[/tex]

Molecular mass of [tex]O_2[/tex] = 16 g/mol

Solubility [tex]O_2[/tex] in mol/L = [tex]\frac{Solubility\;in\;g/L}{Molecular\ mass}[/tex]

Solubility [tex]O_2[/tex] in mol/L = [tex]\frac{0.590}{16} =0.0184\ mol/L[/tex]

According to Henry's Law,

[tex]C = K \times P_{gas}[/tex]

Where,

C = Solubility

K = Henry's constant

P = Pressure in atm

[tex]C = K \times P_{gas}[/tex]

[tex]K = \frac{C}{P}[/tex]

  [tex]=\frac{0.0184}{14.5} = 1.27\times 10^_{-3}[/tex] mol/L atm