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Intensive versus extensive property
Keshav_5360
#1 Posted : Wednesday, July 15, 2020 2:40:56 AM
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Hello!

I am just wondering how mass is an extensive property and density is an intensive property. I understand that extensive properties depend on amount of matter so mass will change with matter. With an intensive property though, if mass is an extensive property and density is m/v, how would density not depend on amount of matter?

Thank you!

Keshav
INSTR_Katerina_102
#2 Posted : Wednesday, July 15, 2020 2:03:31 PM
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Hey,

One common way to spot an intensive property is that they are a ratio of two extensive properties.

The key here for density being an intensive property is that it is m/V.

Using the example of water, if you were to calculate the density of 1g = 1 mL of water, it would be:

1g/1mL = 1 g/mL.

If you then tried to do the same for 2g = 2mL of water, your density would be:

2g/2mL = 1 g/mL.

You get the intensive nature of density because when you add mass, you must also be adding volume, so your overall density should remain the same.

Many intensive properties are given in this x/y format, for example molar mass and pressure.

Please let me know if this is unclear.
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