Find the pressure exerted on the mercury?

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An airplane at 10 km altitude has an atmospheric pressure of 26.5 kPa. To find the absolute pressure at this altitude, the pressure exerted by the mercury column must be calculated using the formula ro*g*h. The mercury's height in the container is relevant for determining the gauge pressure at the bottom of the mercury. The discussion highlights the importance of understanding the relationship between absolute and gauge pressure, with a specific note on the gravitational constant at that altitude. The solution involves combining the atmospheric pressure with the gauge pressure from the mercury column.
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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