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Very interesting question. As you wrote yourself in your Edit it is hard to describe water via the ideal gas model. You have to introduce at least two important improvements of your ideal gas: Dipole - Dipole - Interaction instead of no interaction. Let's call this pair potential $V_d$ and note that for two given molecules $V_d$ is not only distance but ...

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If I understand your description ("the tube is on an angle") correctly, then the "outer" wall of the tube is where the centrifugal force is pointing - and the "inner" wall is the opposite side. When the tube is spinning, there will be an apparent radial force on all the particles - the lighter particles will experience a "buoyancy" towards the inner wall, ...

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density = mass / volume so all you need to do is get your volume constant find the volume of air @ 300 k then it is all the same

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The density of air can be calculated from the ideal gas law $$\rho_\textrm{air}(p,T)=\frac{p}{R_\textrm{ specific }T}$$ where $p$ is pressure in Pascal and $T$ temperature in Kelvin. At $300^\circ ~\textrm{C}$ and $100~\textrm{kPa}\,,$ dry air has a density of $\rho_\mathrm{300k,1atm}=1.177~\mathrm{kg\cdot m^{-3}}$ (source) The average molar mass of air is ...

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With some prior measurements such as total mass, volume of lower and upper body. I think you can use these techniques to figure the mass of just lower body. Computerized Tomography (CT) and Magnetic Resonance Imaging (MRI) These two imaging techniques are now considered to be the most accurate methods for measuring tissue, organ, and whole-body fat mass as ...

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