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

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In summary,Volume is not additive. If you mix 50 mL of water with 50 mL of ethanol you'll get 96.4 mL of solution.
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ReidMerrill
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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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  • #2
Volume is not additive. If you mix 50 mL of water with 50 mL of ethanol you'll get 96.4 mL of solution.
 
  • #3
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.
 
  • #5
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.
 
  • #6
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
 
  • #7
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.
 

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

1. What are volume/volume units?

Volume/volume units are a measurement of the concentration of a substance in a solution, expressed as the volume of the solute (the substance being dissolved) per volume of the solution. It is typically denoted as "v/v" or "vV" and is commonly used in chemistry and biology.

2. How do you convert between volume/volume units and other concentration units?

To convert between volume/volume units and other concentration units, you need to know the volume of the solute and the volume of the solution. Then, you can use the formula: concentration (in other units) = (volume of solute/volume of solution) x 100%.

3. What is the difference between volume/volume units and weight/volume units?

Volume/volume units measure the concentration of a substance in a solution based on the volume of the solute and volume of the solution. Weight/volume units, on the other hand, measure the concentration based on the weight of the solute and the volume of the solution.

4. How do you calculate the concentration using volume/volume units?

To calculate the concentration using volume/volume units, you need to know the volume of the solute and the volume of the solution. Then, you can divide the volume of the solute by the volume of the solution and multiply by 100% to get the concentration in v/v units.

5. What is a common example of using volume/volume units in real life?

A common example of using volume/volume units is in measuring the concentration of alcohol in beverages. For example, a bottle of beer may have a concentration of 5% v/v, meaning that 5% of the volume of the beer is made up of alcohol.

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