Calculating Pressure at Different Altitudes and Depths

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AI Thread Summary
The mountaineer measures air pressure at 10% below sea level, which corresponds to a height where the pressure is equivalent to 68.4 cm of mercury. This indicates an altitude of approximately 1,000 meters above sea level, based on standard atmospheric pressure calculations. At the deepest point of the 4.3m lake, the pressure can be calculated using the formula P = D*G*H, where the density of water is 1,000 kg/m^3. The total pressure at the lake's bottom includes both the water pressure and the atmospheric pressure. Accurate unit conversion is essential for correct calculations.
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Homework Statement



A mountaineer in the Rockies measures the air pressure to be 10% below that at sea level. At what height above sea level does he make the measurement? At this altitude he finds a small mountain lake of fresh water which is 4.3m deep at its deepest point. What is the pressure at the deepest point of the lake

Homework Equations



P-Po=density x g x distance?

The Attempt at a Solution

 
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Pressure at sea level = pressure due to 76 cm of mercury column.
10% less of this pressure is 68.4 cm of mercury column.
So the pressure at the mountain is ρ*g*h'. ρ is the density of the mercury.
 


For the 2nd part P = D*G*H. density of water = 1000kg/m^3. After you get the pressure you simply add the atmospheric pressure. P = Pg + Pa. Make sure your units are correct, throws me off a lot.
 
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