Exploring Dalton's Law: Boiling Water & Temperature at Altitudes

[jrd007]

Can anyone explain to me, using Dalton's Law, why a fresh cup of tead made with boiling water is not as hot at higher altitudes as it is at sea level?

I know the law is:

the law that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of the gases of the mixture.

But how to relate it, I have no idea.

 

[borisleprof]

When you heath water, the water pressure augment at the interface between water and air
The boiling point of water vary with the pressure of the atmosphere.
At sea level the boiling point is 100 ˚C where the air pressure is highest.

At higher altitude the pressure of the atmosphere is getting lower,so it make easier to water to boil.

 

[kyle8921]

Sure, I can explain the relationship between Dalton's Law and the difference in temperature of boiling water at different altitudes. According to Dalton's Law, the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of each individual gas in the mixture. In the case of boiling water, the main gas involved is water vapor.

At sea level, the atmospheric pressure is higher, which means there is more pressure pushing down on the surface of the water in the tea. This higher pressure allows the water to reach a higher temperature before it boils. However, as you go higher in altitude, the atmospheric pressure decreases. This means there is less pressure pushing down on the surface of the water, making it easier for the water molecules to escape into the air as vapor. This results in a lower partial pressure of water vapor in the air, which means the total pressure exerted on the water by all the gases is lower.

According to Dalton's Law, the total pressure must be equal to the sum of the partial pressures of each gas. So, if the partial pressure of water vapor is lower, the total pressure must also be lower. This means that at higher altitudes, the boiling point of water is lower, and it will reach a boiling point at a lower temperature. This is why a fresh cup of tea made with boiling water will not be as hot at higher altitudes as it is at sea level.

In short, Dalton's Law helps us understand that the atmospheric pressure at different altitudes affects the boiling point of water and ultimately the temperature of our tea. I hope this explanation helps clarify the relationship between Dalton's Law and the difference in temperature of boiling water at different altitudes.