Diyers need help with calculation

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bombastinator

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Thanks for looking.

I totally suck at math. I recently bought 120 ml of juice but like many juice companies now, the strongest nic I could get was 6mg of nicotine.

How much nic do I need to add to this to bring it up to 12mg?

TIA
Luckily there are all manner of juice calculators both online and as apps to solve the math issues (I also am untrusting of my math)
 
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bombastinator

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Bah. Ok let’s do it grade school style:

120mg of juice at 6mg/ml means total nic in the bottle is 120x6=720mg of nic in the bottle. For 12mg/ml you need double that, or 1440mg total nic in a 120ml bottle.

So you add a certain amount of high nic base.

You seem to claim you’ve got 300mg/ml base to work with. “You think”.

“You think” is a real problem here. You need to know.

It’s important if you want to get it right. I personally have never seen 300mg/ml base. The strongest stuff I have personally seen sold is 100mg/ml so “300 I think” smells of bad things.

At any rate let’s pretend for the moment that it’s 300mg/ml

You need to add 720mg of nic. With 300mg/ml that’s 2.4ml. The problem is that if you add 2.4ml to 120ml you have 122.4ml and it doesn’t fit in the bottle any more.

There are a couple ways around this. Because we’re just pretending I can do it how ever I want, so I’m going to waste 3ml of the 120ml bottle by pouring it in the trash of vaping it or surreptitiously rubbing it on a nearby cow or something (the last one is evil btw. Don’t do that)

So now I’ve got 117ml of juice and a bit of room in the bottle. 117ml of 6mg/ml juice has 702mg of nic in it. To get it up to 1440 we need to add high nic base. 1440-702=738mg. Or 2.46ml of 300mg-ml base.

Now notice a couple of things:
1) you have no way to accurately measure 2.46ml. That’s scientific instrument level stuff. Even 2.5ml is a bit iffy.
2) that bottle STILL isn’t completely full even if you do get exactly 2.46ml into it so it’s still not exactly 12mg. It’s pretty close though.

What it comes down to is how accurate do yo need to be? Is “somewhere between 12 and 13mg/ml” good enough?

If so dumping 3 ml and adding 2.5ml of 300mg/ml base will more or less do it.

IF that’s close enough, and IF you actually have 300mg/ml base to use.
 
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GOMuniEsq

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The concentration of the final product is the total nic in mg of the original and the addition, divided by the total volume in mL. In other words,
upload_2019-6-24_16-43-26.png

where V=volume in mL, C=concentration in mg/mL,
and where subscripts denote original (O), additional (A), and final (F).
The known quantities are:
upload_2019-6-24_16-41-23.png

We need to figure out how much additional nic to add (
upload_2019-6-24_16-44-16.png
).
Rearranging the formula and substituting known values, we see that
upload_2019-6-24_16-41-48.png

So the only missing variable is
upload_2019-6-24_17-0-13.png
, the concentration of the nic you are adding.
Assuming you have 100mg/mL nic on hand,
upload_2019-6-24_16-49-21.png

To confirm our result, we plug everything back into the original formula:
upload_2019-6-24_16-56-30.png

You need to add about 8mL of 100mg/mL nic to raise your existing bottle to 12mg.
 
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bombastinator

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The concentration of the final product is the total nic in mg of the original and the addition, divided by the total volume in mL. In other words,
View attachment 823193
where V=volume in mL, C=concentration in mg/mL,
and where subscripts denote original (O), additional (A), and final (F).
The known quantities are:
View attachment 823189
We need to figure out how much additional nic to add (View attachment 823197).
Rearranging the formula and substituting known values, we see that
View attachment 823191
So the only missing variable is View attachment 823203, the concentration of the nic you are adding.
Assuming you have 100mg/mL nic on hand,
View attachment 823199
To confirm our result, we plug everything back into the original formula:
View attachment 823201
You need to add about 8mL of 100mg/mL nic to raise your existing bottle to 12mg.
And herein lies the problem.
Comparing the two solutions, regardless of method The amount of nic base you need to add varies wildly depending on the concentration and the whole “..and fit it in the bottle” bit makes things kinda complicated. Plus there’s the exact measurement issue.

We need a hard number for that high nic base, we need to know what you’re measuring with, and if you’ve got another bottle to put stuff in.
 

GOMuniEsq

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@bombastinator You're demonstrated the difference between a mathematician and an engineer. They'll both give you good answers but the engineer will notice that the bottle overflows.

Alright let's try this again.
Assuming that you have a full 120mL bottle of 6mg e.juice, how much must you discard in order to be able to top it up with 100mg/mL nic to achieve a full bottle of 12mg e.juice?

Starting with our formula for concentration,
upload_2019-6-24_16-43-26-png.823193

And the following known quantities,
upload_2019-6-24_19-3-57.png

We will solve for
upload_2019-6-24_19-11-10.png
, which is amount to be added and also discarded.
With the observation that,
upload_2019-6-24_19-19-51.png

Substituting for
upload_2019-6-24_19-14-42.png
and rearranging for
upload_2019-6-24_19-11-10.png
,
upload_2019-6-24_19-29-2.png

Plug in known quantities,
upload_2019-6-24_19-33-48.png

What about with hypothetical 300mg nic?
upload_2019-6-24_19-45-29.png
 
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bombastinator

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@bombastinator You're demonstrated the difference between a mathematician and an engineer. They'll both give you good answers but the engineer will notice that the bottle overflows.

Alright let's try this again.
Assuming that you have a full 120mL bottle of 6mg e.juice, how much must you discard in order to be able to top it up with 100mg/mL nic to achieve a full bottle of 12mg e.juice?

Starting with our formula for concentration,
upload_2019-6-24_16-43-26-png.823193

And the following known quantities,
View attachment 823211
We will solve for View attachment 823219, which is amount to be added and also discarded.
With the observation that,
View attachment 823227
Substituting for View attachment 823225and rearranging for View attachment 823219,
View attachment 823231
Plug in known quantities,
View attachment 823235
What about with hypothetical 300mg nic?
View attachment 823239
I’m not even an engineer. I went to art school. They don’t teach math there at all. This is why @Mordacai gets to cop a .... in the captains chair and I get to be fascinated counting my toes.
 
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Rossum

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@bombastinator You're demonstrated the difference between a mathematician and an engineer. They'll both give you good answers but the engineer will notice that the bottle overflows.
It only overflows in theory. You see the engineers that designed those 120 ml bottles designed them to have some head-space when filled with 120 ml of liquid. If the bottle really only has 120 ml of liquid in it, I bet it has more than 3 ml of head-space. :)
 

Letitia

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It’s important if you want to get it right. I personally have never seen 300mg/ml base. The strongest stuff I have personally seen sold is 100mg/ml so “300 I think” smells of bad things.
I use 250mg to make my base so it's entirely likely 300 is available somewhere in the world.
 

bombastinator

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It only overflows in theory. You see the engineers that designed those 120 ml bottles designed them to have some head-space when filled with 120 ml of liquid. If the bottle really only has 120 ml of liquid in it, I bet it has more than 3 ml of head-space. :)
True, but then you lose the air bubble and it helps a lot when you shake it to mix the stuff up.

Does point out the inherent lack of precision though. That 120ml bottle may have only “somewhere around 120ml” in it.
 

greek mule

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I don't have access to higher than 20 mg/ml nicotine bases because of TPD rules in Europe but here is how I would do it:
I have 120 ml juice with 6 mg/ml. 120x6 =720 mg total nic.
To make it 12mg/ml,this is a difference of 6mg/ml.
6mg difference x 120ml=720 mg nic.
So I need to add 720mg nic.
My Nic base is 300mg/ml Nic.
720/300=2.4 ml needed of Nic base I must add.My bottle fit 120ml.
Now I know that I have to remove 3ml from the original bottle to make space for the added nic base I'm going to use.Toss 3 ml.
From the beginning:
My bottle has 117mlx6mg/ml=702mg total nic.
A bottle of 120ml at 12mg/ml nic has 1440 mg nic.
1440-702=738 mg nic I must add.
738/300=2.46 ml nic base that must add.Total volume 119.46 ml.Nic per ml=12.05 mg
 

bombastinator

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I use 250mg to make my base so it's entirely likely 300 is available somewhere in the world.
It’s definitely possible. I know those little toothpaste tube type things they sell to nic up stuff have some pretty high test nic in them.
“I think” still doesn’t cut it though. Not if you want accuracy.
 
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GOMuniEsq

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It only overflows in theory. You see the engineers that designed those 120 ml bottles designed them to have some head-space when filled with 120 ml of liquid. If the bottle really only has 120 ml of liquid in it, I bet it has more than 3 ml of head-space. :)
True! Also, the user must have squirted out a few mL to determine that it was unsatisfactory in the first place.
 

bombastinator

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I love how everyone is making the math seem so difficult.
All you have to do is use ANY juice calc and pretend you're adding nic to a zero nic base to get to 6mg.
Viola! 12 mg juice.

You NEED to know what MG your nic is though.
This is true. This is what those calculator apps are for.
 
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Letitia

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It’s definitely possible. I know those little toothpaste tube type things they sell to nic up stuff have some pretty high test nic in them.
“I think” still doesn’t cut it though. Not if you want accuracy.
My nic comes in the same bottle as the 100mg and I use the same measuring tools everyone else does. How are my measurements less accurate?
 
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