Water Boiling Temperature on Mt. Kilimanjaro (5895m): The Science Behind It

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At the summit of Mt. Kilimanjaro (5895m), water boils at approximately 80.3 degrees Celsius due to the reduced atmospheric pressure. The boiling point of water is influenced by pressure, as it boils when vapor pressure equals atmospheric pressure. Standard altitude tables indicate that at 5900m, the pressure is about 48.67 kPa. Consulting a Saturated Water-Pressure table shows that at this pressure, the saturation temperature is around 81.33 degrees Celsius. Therefore, understanding the relationship between pressure and boiling point is crucial for accurate calculations at high altitudes.
BEVIN
What temperature will water boils on top of Mt. Kilamanjaro (elevation 5895m)...


This answer should be 80.3 degree celsius...How did they get this...?
I have my thermo and fliud tables but I cannot seems to figure this one...

Thanks...
 
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Isn't the boiling point dependant on the pressure the liquid is under, since liquids boil when the tiny gas-bubbles that form all the time at random are pressurized enough to stay and grow, rather than being instantly crushed?

I guess I'd just look that up on a table or a PVT diagram.. I hear that you need a gigantic messy system of equations to approximate water's state transitions, and everyone just uses tables
 
Standard altitude table says that at 5900m:

p = 4.7867 E4 N/m^2

Consulting a Saturated Water-Pressure table for 50kPa (closest value) gives 81.33 degrees C as saturation temperature.

40kPa -> 75.87 C

You can interpolate back from there.
 

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