Solubility of gas using Henry's law

In summary, Henry's law states that the amount of gas dissolved in a liquid is directly proportional to the partial pressure of the gas above the liquid. This relationship is affected by temperature, pressure, and the type of gas and liquid involved. It is commonly used in the carbonation of drinks, water treatment, and the study of gas exchange in the human body. However, it is only applicable to ideal gases and liquids and cannot accurately predict the behavior of real gases and liquids. In a body of water, the solubility of gas using Henry's law decreases with depth due to the increase in pressure. This can have dangerous consequences for deep sea divers who ascend too quickly.
  • #1
protractor
17
1

Homework Statement


What is the solubility of an unknown gas in water at 1.0 atm if its solubility at 3.0 atm is 1.02M?

Homework Equations


Henry's law Sg = k*Pg

The Attempt at a Solution


Sg = 1.02M/3.0atm * 1.0 atm = .34 atm

I'm not sure if Pg, the partial pressure of the gas, is 1.0 atm or 3.0 atm.
 
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  • #2
protractor said:
Sg = 1.02M/3.0atm * 1.0 atm = .34 atm
Are the units correct?
 
  • #3
mjc123 said:
Are the units correct?
.34 is in M instead of atm (I forgot to cancel out the atm).
 

1. What is Henry's law and how does it relate to the solubility of gas?

Henry's law states that the amount of gas dissolved in a liquid is directly proportional to the partial pressure of the gas above the liquid. In other words, as the partial pressure of a gas increases, the solubility of that gas in the liquid also increases.

2. What factors affect the solubility of gas according to Henry's law?

The solubility of gas according to Henry's law is affected by temperature, pressure, and the type of gas and liquid involved. As temperature and pressure increase, the solubility of gas also increases. The type of gas and liquid also play a role, with some gases being more soluble in certain liquids than others.

3. How is Henry's law used in real-world applications?

Henry's law is used in many real-world applications, such as in the carbonation of drinks, where carbon dioxide gas is dissolved in a liquid under pressure. It is also used in water treatment and purification processes, as well as in the study of gas exchange in the human body.

4. Can Henry's law be applied to all gases and liquids?

No, Henry's law is only applicable to ideal gases and liquids. For real gases and liquids, the relationship between pressure and solubility is more complex and cannot be accurately predicted by Henry's law.

5. How does the solubility of gas using Henry's law change with depth in a body of water?

The solubility of gas using Henry's law decreases with depth in a body of water as the pressure increases. This is because the partial pressure of the gas above the liquid also increases with depth, causing the gas to become less soluble. This is why deep sea divers can experience decompression sickness if they ascend too quickly, as the gas they have been breathing under high pressure can become less soluble and form bubbles in their bloodstream.

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