Problem 10

Question

Consider a beaker of salt water sitting open in a room. Over time, does the vapor pressure increase, decrease, or stay the same? Explain.

Step-by-Step Solution

Verified
Answer
The vapor pressure of the saltwater in the open beaker decreases over time. This is because evaporation removes water molecules from the liquid, leading to an increase in the salt concentration, which in turn lowers the vapor pressure due to fewer water molecules at the surface transitioning into the vapor phase.
1Step 1: Understanding vapor pressure
Vapor pressure is the pressure of a vapor in contact with its liquid or solid form in a closed system. In this case, the vapor pressure is exerted by the water molecules in the presence of salt in the beaker.
2Step 2: Consider the salt in the water
Salt, a solute, dissolves in water, the solvent. This process affects the vapor pressure of the water by lowering it. This is because salt lowers the concentration of water molecules at the surface of the liquid, resulting in a lower number of water molecules transitioning into the vapor phase. This means that the vapor pressure caused by water molecules in the saltwater mixture is lower than that of pure water.
3Step 3: Evaporation and vapor pressure
As the saltwater beaker is left open in the room, evaporation occurs. During evaporation, the water molecules transition from the liquid phase to the vapor phase. The vapor pressure will change based on the concentration of water molecules in the liquid phase, which is affected by the presence of salt and the gradual loss of water molecules due to evaporation.
4Step 4: Open system vs. closed system
Since the beaker is considered an open system, the vapor above it is not in equilibrium with the surrounding atmosphere. This means that the vapor pressure of the saltwater system can change over time. In a closed system, the vapor pressure would eventually reach equilibrium, but this is not the case for the open saltwater beaker.
5Step 5: Effect of losing water molecules on vapor pressure
As the saltwater mixture loses water molecules over time due to evaporation, the concentration of salt in the remaining water in the beaker increases. This means that the vapor pressure of the remaining liquid phase decreases, as the water molecules are being replaced by salt particles at the surface. Therefore, the overall vapor pressure above the beaker will decrease over time. In conclusion, the vapor pressure of the saltwater in the open beaker decreases over time due to evaporation, which increases the concentration of salt in the water and lowers the concentration of water molecules at the surface. This process results in a lower vapor pressure above the beaker.