Converting 20mm of Gas to Pascals: A Simple Guide

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To convert 20mm of gas to pascals, additional information is required, specifically the density of the gas and the acceleration due to gravity. The formula to use is p = hρg, where p is pressure in pascals (N/m²), h is the height in meters, ρ is the density in kg/m³, and g is the acceleration due to gravity (approximately 9.81 m/s²). Without knowing the gas density, a direct conversion cannot be completed. Understanding these variables is crucial for accurate pressure calculations. Proper application of the formula will yield the pressure in pascals.
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i know this probably sounds really stupid but how do i convert 20mm of gas into pascals?
thnx
 
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Pa has units of N/m^2 thus you need a little more info to convert 20mm of gas to pascals.
 
p = h \rho g, when you use SI units in the RHS, P is in N/m^2. You need to know the density of the gas. g is the accelaration of gravity.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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