State Henry’s law for solubility of a gas in a liquid. Explain the significance of Henry’s law constant (KH). At the same temperature, hydrogen is more soluble in water than helium. Which of them will have a higher value of KH and Why?

Henry’s Law states that the solubility of a gas in a liquid is directly proportional to the partial pressure of that gas on the surface of the liquid, provided the temperature remains constant. Mathematically, it can be expressed as:

C = KH​×P

Where:

  • C is the concentration of the dissolved gas in the liquid.
  • KH​ is Henry’s Law constant.
  • P is the partial pressure of the gas above the liquid.

Significance of Henry’s Law constant (KH​): The value of KH​ provides a measure of how soluble a particular gas is in a particular liquid at a given temperature. A higher value of KH​ indicates that the gas is less soluble in the liquid, while a lower value of KH indicates greater solubility. The unit of KH varies depending on the way solubility is measured. It can be in terms of mol/L·atm, g/L·atm, or other suitable units.

Given the information that hydrogen is more soluble in water than helium at the same temperature, hydrogen will have a lower value of KH​ compared to helium. This is because a higher solubility corresponds to a lower KH​ (as mentioned earlier). Hence, less soluble helium will have a higher value of KH​.

In summary, the gas with the higher KH​ value is less soluble in the liquid. In this case, helium is less soluble than hydrogen, so it has a higher KH​.

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