Sample one, with a temperature of 78 degrees, likely has the lowest solubility of carbon dioxide, as lower temperatures generally favor increased gas solubility in liquids according to Henry's Law.
The solubility of gases in liquids, such as carbon dioxide (CO₂) in water, tends to decrease with increasing temperature. This phenomenon is attributed to the principles of thermodynamics, specifically Henry's Law, which states that the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas above the liquid and inversely proportional to the temperature.
In the given table, the temperature values are provided alongside each sample of dissolved carbon dioxide. Notably, as the temperature increases, the solubility of CO₂ generally decreases. Therefore, the sample with the lowest temperature, sample one at 78 degrees, is likely to exhibit the highest solubility of carbon dioxide compared to the other samples. This is because lower temperatures favor increased gas solubility in liquids.
In summary, according to Henry's Law, the solubility of carbon dioxide decreases with rising temperatures. Hence, sample one with the lowest temperature (78 degrees) likely has the highest solubility among the provided samples.