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I recently saw cm^3/g as a unit for amount adsorbed. Usually, you see either kg adsorbate/kg adsorbent or mole adsorbate/kg adsorbent. Does anyone know the meaning of this unit?

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Indeed, when you just want to measure how much material has been adsorbed, it's more natural to use the same units for both materials.

I think that 1 cubic centimeter per gram is not a unit of "adsorption" per se - adsorption is a process, not a quantity, after all - but it's a unit of "specific pore volume". You take one gram of a material and measure the volume of the pores inside this material in cubic centimeters - and you get "specific pore volume" in cubic centimeters per gram. Note that pores - holes - are empty so they may only be measured by a unit of volume, and not a unit of mass or moles. ;-)

Gas adsorption is a major method to measure "specific pore volume". In some sense, the "specific pore volume" also does quantify adsorption because it tells you at how many microscopic places the gas may get adsorbed inside a material. See some papers about the two concepts to get a flavor:

http://scholar.google.com/scholar?q=%22specific+pore+volume%22+adsorption

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I've only ever seen those units described as "specific surface area". It does have implications for adsorption, but I don't think it is the be all and end all.

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