Using Henry's law, show that the dissolved gases in a liquid can be driven off by heating the liquid.

Henry's law states that the concentration of a dissolved gas in a liquid is directly proportional to the partial pressure of that gas above the liquid surface. Mathematically, Henry's law can be represented as: C = k_H * P_gas Where C is the concentration of the dissolved gas in the liquid, k_H is Henry's law constant (which depends on the specific gas and liquid, and the temperature), and P_gas is the partial pressure of the gas above the liquid.

The value of the Henry's law constant (k_H) depends on the temperature of the solution. Generally, k_H increases with increasing temperature for most gases. Consequently, the solubility of the gas in the liquid decreases with an increase in temperature. This means that, at higher temperatures, the gas dissolves to a lesser extent in the liquid. We can express the relationship between Henry's law constant and temperature using the van 't Hoff equation: ln(k_H2 / k_H1) = -ΔH/R * (1/T2 - 1/T1) Where ΔH is the enthalpy change associated with the dissolution process, R is the universal gas constant, T1 and T2 are the initial and final temperatures, and k_H1 and k_H2 are the initial and final Henry's law constants, respectively.

When a liquid is heated, its temperature increases. According to the van 't Hoff equation mentioned in Step 2, the increase in temperature leads to a decrease in solubility (an increase in k_H) for most gases. Consequently, when the temperature of the liquid increases, the concentration of the dissolved gas decreases (as the solubility of the gas reduces according to Henry's law), which results in the gas being driven off from the liquid. For example, let's assume that we are heating a liquid solution from an initial temperature T1 to a final temperature T2, and we observe an increase in k_H from k_H1 to k_H2 and consequently a decrease in gas solubility. This implies that more gas will be released from the liquid as the temperature increases.

In conclusion, using Henry's law, we can show that the dissolved gases in a liquid can be driven off by heating the liquid. As the temperature of the liquid increases, Henry's law constant increases for most gases, which implies that the solubility of the gas decreases. As a result, the gas is driven off from the liquid, with more gas being released at higher temperatures.