Calculate The Solubility of Carbon Dioxide at 0 Degrees Celsius

The solubility of carbon dioxide (CO₂) in water is a fundamental concept in chemistry and environmental science. This calculator helps determine how much CO₂ can dissolve in water at 0°C using Henry's Law, which describes the relationship between the concentration of a gas in a liquid and its partial pressure in the gas phase.

Introduction

Carbon dioxide is a key greenhouse gas that dissolves in water bodies. Understanding its solubility helps in studying ocean acidification, carbon capture technologies, and industrial processes. At 0°C, the solubility of CO₂ is particularly important for cold water environments like polar regions.

The solubility of a gas in a liquid is influenced by factors such as temperature, pressure, and the nature of the gas and solvent. For CO₂ in water, Henry's Law provides a useful approximation under certain conditions.

Henry's Law

Henry's Law states that the amount of a gas that dissolves in a liquid is directly proportional to the partial pressure of that gas above the liquid. The law is expressed as:

Henry's Law Formula

C = kH × P

Where:

C = Solubility of the gas (mol/L)
kH = Henry's Law constant (mol/(L·atm))
P = Partial pressure of the gas (atm)

The Henry's Law constant (kH) is temperature-dependent. For CO₂ in water at 0°C, the kH value is approximately 0.035 mol/(L·atm).

Calculation

To calculate the solubility of CO₂ at 0°C, you need to know the partial pressure of CO₂ in the gas phase. The calculator uses the following formula:

Solubility of CO₂ at 0°C

Solubility (mol/L) = 0.035 × Partial Pressure (atm)

The result is the concentration of CO₂ in water at the given partial pressure. For example, if the partial pressure is 1 atm, the solubility is approximately 0.035 mol/L.

Example Calculation

Let's calculate the solubility of CO₂ at 0°C with a partial pressure of 0.5 atm:

Example

Solubility = 0.035 mol/(L·atm) × 0.5 atm = 0.0175 mol/L

This means 0.0175 moles of CO₂ will dissolve in 1 liter of water at 0°C when the partial pressure is 0.5 atm.

Effect of Temperature

Temperature significantly affects the solubility of CO₂. As temperature increases, the solubility decreases. The Henry's Law constant for CO₂ in water decreases with temperature. For example:

Temperature (°C)	Henry's Law Constant (kH) (mol/(L·atm))
0	0.035
10	0.028
20	0.022
30	0.017

This table shows how the Henry's Law constant changes with temperature, demonstrating that higher temperatures reduce CO₂ solubility.

FAQ

What is the Henry's Law constant for CO₂ at 0°C?: The Henry's Law constant for CO₂ in water at 0°C is approximately 0.035 mol/(L·atm).
How does temperature affect CO₂ solubility?: As temperature increases, the solubility of CO₂ decreases because the Henry's Law constant decreases with temperature.
What units are used in the calculation?: The solubility is calculated in moles per liter (mol/L), and the partial pressure is in atmospheres (atm).
Can this calculator be used for other gases?: No, this calculator is specifically designed for CO₂ solubility at 0°C. Different gases have different Henry's Law constants.
What is the practical significance of CO₂ solubility?: Understanding CO₂ solubility is important for studying ocean acidification, carbon capture technologies, and industrial processes involving CO₂.