Respuesta :
Explanation:
It is known that relation between partial pressure, mole fraction and pressure is as follows.
Partial pressure of gas = mole fraction of gas × Pressure of gas
Therefore, putting the given values into the above formula as follows.
Partial pressure of gas = mole fraction of gas × Pressure of gas
= [tex]0.21 \times 1.13 atm[/tex]
= 0.237 atm
According to Henry's law,
Concentration of oxygen = Henry's law constant × partial pressure of oxygen
= [tex]1.3 \times 10^{-3} M/atm \times 0.2373 atm[/tex]
= [tex]3.08 \times 10^{-4}[/tex] M
Therefore, calculate moles of oxygen in 5.00 L present as follows.
Moles of oxygen in 5.00 L = volume × concentration
= [tex]5.00 \times 3.0849 \times 10^{-4}[/tex]
= [tex]1.542 \times 10^{-3}[/tex] mol
Now, we will calculate the mass of oxygen as follows.
Mass of oxygen = moles × molar mass of oxygen
= [tex]1.542 \times 10^{-3} mol \times 32 g/mol[/tex] mol
= 0.0494 g
or, = 49.4 mg (As 1 g = 1000 mg)
thus, we can conclude that the mass of given oxygen (in mg) is 49.4 mg.
The mass of oxygen dissolved in water has been 49.4 mg.
The partial pressure of oxygen in the air:
Partial pressure = Mole fraction [tex]\times[/tex] Pressure of gas
Partial pressure = 0.21 [tex]\times[/tex] 1.13 atm
Partial pressure of oxygen = 0.237 atm.
The concentration of oxygen can be given by Henry's law.
Concentration of Oxygen = Henry's constant ([tex]\rm k_H[/tex]) [tex]\times[/tex] Partial pressure
Concentration = 1.3 [tex]\rm \times\;10^-^3[/tex] M/atm [tex]\times[/tex] 0.237 atm
Concentration of oxygen = 3.08 [tex]\rm \times\;10^-^4[/tex] M
Moles can be given by:
Moles = Molarity [tex]\times[/tex] Volume
Moles of oxygen = 3.08 [tex]\rm \times\;10^-^4[/tex] M [tex]\times[/tex] 5
Moles of oxygen = 1.542 [tex]\rm \times\;10^-^3[/tex] mol
Moles = [tex]\rm \dfrac{weight}{molecular\;weight}[/tex]
Weight of oxygen = Moles [tex]\times[/tex] Molecular weight
Weight of oxygen = 1.542 [tex]\rm \times\;10^-^3[/tex] mol [tex]\times[/tex] 32 g/mol
Weight of oxygen = 0.0494 grams
Weight of oxygen = 49.4 mg.
The mass of oxygen dissolved in water has been 49.4 mg.
For more information about the mass of gas, refer to the link:
https://brainly.com/question/2216031
