Find the pressure exerted on the mercury?

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SUMMARY

The discussion focuses on calculating the absolute pressure exerted on mercury in a container at an altitude of 10 km, where the atmospheric pressure is 26.5 kPa. To find the absolute pressure, one must apply the formula for gauge pressure, which is derived from the hydrostatic pressure equation, using the density of mercury and the gravitational acceleration at that altitude. The specific gravitational acceleration at 10 km is noted as 9.7495 m/s², which may be relevant for precise calculations.

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  • Understanding of hydrostatic pressure principles
  • Familiarity with the formula for gauge pressure (P = ρgh)
  • Knowledge of atmospheric pressure variations with altitude
  • Basic grasp of gravitational acceleration values at different altitudes
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Jason03
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I was working on a problem that stated an airplane is flying at an altitude of 10km. In its nonpressureized cargo bay is a container of mercury 325 mm deep.(the container is vented to the local atmosphere)

The first part just asked for the atmospheric pressure at 10km. Which I found in a table to be 26.5 kPa. But for the second part it asks to find the absolute pressure at 10km using the the 26.5 kPa and the height of the mercury column.

My question is how does the mercury column help you with finding the absolute pressure when the problem just says the mercry is sitting in a container? Do I just use ro*g*h to find the pressure exerted on the mercury? I would think there would need to be a height difference in the mercury because of the pressure acting on it.
 
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It probably means, what is the absolute pressure at the very bottom of the mercury.
 
Jason03: I agree with the comment by Redbelly98. So you just need to figure out how one computes absolute pressure from gauge pressure, or vice versa. You listed the correct formula for gauge pressure at the bottom of the mercury container. However, did you know g at 0 deg latitude and 10 km above Earth sea level is g = 9.7495 m/s^2? I don't know if they want you to use that exact value or just the general constant.
 

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