Concept: The boiling point of a liquid is the temperature at which its vapor pressure equals the external (atmospheric) pressure surrounding the liquid. The atmospheric pressure changes with altitude.
Step 1: Relationship between Altitude and Atmospheric Pressure
As altitude increases (i.e., you go higher up, like on a mountain), the atmospheric pressure decreases. This is because there is less air above pressing down.
Step 2: Relationship between External Pressure and Boiling Point
A liquid boils when its vapor pressure (the pressure exerted by its vapor) becomes equal to the external pressure.
If the external pressure is lower, the liquid needs to achieve a lower vapor pressure to boil.
A lower vapor pressure is achieved at a lower temperature (since vapor pressure increases with temperature).
Therefore, if the external atmospheric pressure decreases, the boiling point of the liquid also decreases.
Step 3: Applying this to higher altitudes
At higher altitudes, the atmospheric pressure is lower.
Since the boiling point depends on the external pressure, a lower atmospheric pressure at higher altitudes results in a lower boiling point for liquids.
This is why water boils at a temperature less than \(100^\circ\text{C}\) on high mountains, and food takes longer to cook (or a pressure cooker is needed).
Step 4: Analyzing the options
(1) Increases: Incorrect. Boiling point decreases.
(2) Decreases: Correct. Lower atmospheric pressure at higher altitudes leads to a lower boiling point.
(3) Remains the same: Incorrect. Boiling point is pressure-dependent.
(4) Increases then decreases: Incorrect.