Hi.
I have some 3mg liquids and I want to transform them into 6mg for my MTL setups. I already have the nicotine (100mg/ml).
So, how much do I need to add to my 3mg liquid to get a target of 6mg?
We´re talking about 30ml bottles.
Thanks in advance for your help!
If I want to make 30ml of 6mg/ml using 3mg/ml and 100mg/ml, Two things need to happen.
One, The Total amount of Nicotine needs to be 180mg. (ie: 30ml x 6mg/ml = 180mg of Nicotine)
Two, the Total amount of Milliliters needs to be 30ml. (Duh!... LOL)
So let's call the amount of 3mg/ml to use "X". And the amount of 100mg/ml to use "Y".
So we have...
X(3mg/ml) + Y(100mg/ml) = 180mg's of Nicotine
and,
X + Y = 30ml
This is a System of Two Linear Equations. And Both have to be True to end up with have 30ml of 6mg/ml. But we have 2 Unknowns. So let's see if we Eliminate One of the Unknowns using (Gulp!) Algebra.
Let's take X + Y = 30ml
Turn the Wrench and you get X = 30 - Y
Now let's plug X = 30 - Y into X(3) + Y(100) = 180
=> (30 - Y)(3) + Y(100) = 180
=> 90 - 3Y + 100Y = 180
=> 97Y = 90
=> Y = 90/97 or about .9278
So it sounds like we need .9278 ml of 100mg/ml.
Cool. So let's plug that back into our X + Y = 30 formula now that we know what Y is.
=> X + .9278 = 30
=> X = 30 -.9278
=> X = 29.0722
OK! So it sound like we need 29.0722 ml of 3mg/ml and .9278 ml of 100mg/ml
Now if this is Correct, then X and Y should work in our X(3mg/ml) + Y(100mg/ml) = 180mg's of Nicotine formula.
So...
29.0722(3) + .9278(100) = 179.9966
So why is this like a Hair's Breadth Off? Because the .9278 value had a Miniscule Amount of Round-Off Error on it. Causing a Miniscule Amount of Error on the 180 value.
If you want it to be Numerically Correct, then the Value of Y should be left in its Fractional Form of 90/97.
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So Why Does it All Work?
Because if I Only consider 1 Equation like X + Y = 30, there is an Infinite amount of Solutions for Y for any "Real" Value of X.
But when I Conditionally Tie X + Y = 30 and X(3) + Y(100) = 180 together, then I get something that says X + Y = 30 If and Only If X(3) + Y(100) = 180. In this case, giving me a Unique Solution.
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Real World DIY verses the Mathematical Realm.
Just use 29 ml of 3mg/ml and 1 ml of 100mg/ml. It won't be Numerically Correct. But you will Never be able to Taste the Difference.
179.9966mg of Nicotine in 30ml of Volume comes out to 5.9999mg/ml.
