Hello, I don't need help solving a problem, but need help explaining why the given answer is true because I don't understand.(adsbygoogle = window.adsbygoogle || []).push({});

A guy is jumping from something(outside) and I need to calculate the air pressure at a certain height.

Given is that the temperature on sea level is 1,013*10^5 Pa, and the density of air is 1,293 kg/m³, and the temperature is 273k.

on that specific height(where I need to calculate the air pressure) the temperature is 233k, the density of air is now 0,51 kg/m³, and you need to calculate the pressure at that height .

In the solution it says that the mass of gas are the same on those two heights, so you can solve ((P1*(m/p1))/T1)= ((P2*(m/p2))/T2)

My problem is that I dont understand that the amount of gas is same in both situations? It's outside so yea the total amount of gas is the same, but you're not looking at that are you? because for example the temperature isn't the same in all of that amount of gas so you cant use all of that mass in this equation? I could imagine this being true in for example a closed container, where the temperature changes everywhere in the container by the same amount, but in open air I do not understand. Am I looking at it wrong?

I'm sorry if you do not understand me because of my bad english, I will try explain further and sorry if this is a dumb question.

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# Homework Help: Air pressure of guy jumping

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