Water boils when the vapour pressure is least the atmospheric pressure.
The atmospheric pressure is equal at the top of the mountain.
The air around you has weight, and it presses against everything it touches. That pressure is called atmospheric pressure, or air pressure. It is the force exerted on a surface by the air above it as gravity pulls it to Earth.
As we go up in altitude the air pressure becomes less. When the pressure decreases, it takes less energy to get the water molecules to escape the surface. So the temperature is less than it would be at sea level.
Air pressure is higher or greater at the bottom of a mountain. This is because the height of the air above that level is thicker than at the top.
Pressure is given by the equation, P=rho*g*h, where rho is the air density, g is the gravity value and h is the thickness of the air layer on top of the level where we are considering the pressure.
Therefore, as we can see, at the bottom of the mountain, the thickness h of air is greater, and so is the pressure.
Hence, water boils when the vapour pressure is least the atmospheric pressure and the atmospheric pressure is equal at the top of the mountain.
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