If the pressure decreases 12% per kilometer of elevation,
then this would be the equation:
Pressure = (pressure at sea level) · (0.88)^power of (elevation in km) .
If the sea level pressure is 103 kPa and
the city is 4.6 km above sea level, then
Pressure = (103 kPa) · (0.88)⁴.⁶ (the exponent is " 4.6 ")
= (103 kPa) · (0.5554)
= 57 kPa (rounded)
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4.6 km is a very high elevation for people to live at. One reason is just
what we found up above ... the low air pressure makes it tough to get
enough oxygen into your lungs to be able to DO anything. You would
just have to lay around all day trying to breathe !
I did some searching online looking for major cities at 4.6 km elevation,
and I didn't find any.
4.6 km is almost 3 times as high above sea level as Denver, Colorado is.