How is it possible for v/v units to exceed 100%?

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The discussion centers on the concept of volume/volume (v/v) calculations, specifically addressing the confusion surrounding v/v values exceeding 100%. It is clarified that v/v is calculated as the volume of solute divided by the total volume of the solution. The key point raised is that volume is not always additive; for example, mixing equal volumes of water and ethanol results in a total volume that is less than the sum of the individual volumes due to molecular interactions. This phenomenon is explained through analogies, such as adding sand to marbles, where the sand fills the gaps, demonstrating that the final volume does not equal the simple sum of the components. Additionally, the discussion touches on non-ideal behaviors, such as gas adsorption on charcoal, where the internal structure allows for significant gas volume to be absorbed without a corresponding increase in total volume. The complexities of volume behavior in mixtures highlight the importance of understanding molecular interactions in solution chemistry.
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I'm looking through articles for a presentation in college and I ran across the units volume/volume. (V/V)
From what I understand v/v is calculated with the formula (vol. solute/total volume). One of the articles has figures with over 100 v/v. How is this possible? Shouldn't it be between 0 and 1 or 0% and 100%
 
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Volume is not additive. If you mix 50 mL of water with 50 mL of ethanol you'll get 96.4 mL of solution.
 
Borek said:
Volume is not additive. If you mix 50 mL of water with 50 mL of ethanol you'll get 96.4 mL of solution.

Why does this happen? I can see how it would work if the two substances were at different temperatures initially but can't think of anything else that would cause it.
 
Imagine adding sand to marbles, with sand filling gaps between marbles. Is the final volume sum of volumes?

That's not the only way it happens, but it will give you an example.
 
Borek said:
Imagine adding sand to marbles, with sand filling gaps between marbles. Is the final volume sum of volumes?

That's not the only way it happens, but it will give you an example.
That's a good analogy. It was talking about gas adsorbing to charcoal. I didn't take into account the nooks and crannies in charcoal that give it 'internal volume' for lack of a better word
 
That adds another complication, because when a gas is adsorbed on charcoal it is not a gas in the adsorbed form. It is not surprising that 1 cm3 of charcoal may adsorb 100 cm3 of gas, but the volume occupied by the adsorbate molecules in the charcoal is much less than 100 cm3. Remember that the volume of a gas is mostly empty space. As a very rough guide, the volume of a gas at STP is of the order of 1000 x its volume as a liquid. So the volume occupied by the adsorbate may be more like ca. 0.1 cm3.
 
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