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consider ten kg substance .Take few kg substance and measuring mass density,the density is same as before substance. so we can say that from above explanation,density is an intensive property.

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i think ,heat energy is required to change the temperature of the gas as well as for the the expansion of the gas against external pressure hence,change in temperature at constant pressure ,therefore Cp>Cv

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Water has a very narrow range of temperatures over which it expands when cooling rather than contracting (IIRC +2 to 0 Celsius). This occurs due to the way the highly polar molecules "line up" with each other near the freezing point. For a more interesting example, consider a number of rubber compounds which shrink as they warm up. In this case it's due ...

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I imagine alot of negative expansion coefficients occour at phase transitions. Probably the temperature increase causes the material to overcome an activation energy and a change in lattice structure occours. In these cases one would not expect these processes to be reversible.

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The answer you are looking for is that $$\rho \propto 1/V$$ and $$m/\rho = 1/V$$ with this knowledge you should be able to see how your final equation relates to $$pV = nRT$$

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You will need a box ( or a bathtub ) with a plain control of the volume of water and some inflatable balloons whose volume can be changed, controlled and measured 1 ) ( exactly ) immerse the body part to be measured in a liquid at rest. 2 ) Attach the balloons to the feets, 3 ) adjust the volume of the inflatable balloons to cancel the buoyancy , as you ...

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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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