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Thread: Chemical math formula for borates (boron)

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    Chemical math formula for borates (boron)

    What is the "chemical" formula for figuring ppm for borates as far as a chemistry perspecitve?
    I understand they are equivalent or measured in borons, such as on a test strip but I cant figure out where the numbers are coming from.

    Here is an example (calcium hardness) of what Im looking for which shows where the numbers are coming from:
    Calcium Carbonate (CaCO3) = 100.0869 g/mol
    Calcium Chloride (CaCl) = 110.98 g/mol

    100.0869 / 110.98 = 0.901846278608
    (CaCO3gmol / CaClgmol = 100% Calcium Chloride Product is 90.18% Calcium Carbonate)

    0.901846278608 x 0.95 = 0.85675396
    (answer from above x 95% Calcium Chloride Product = 85.67% Calcium Carbonate)

    8.3333333333333333 / 0.85675396 = 9.7266353 LBS to raise CH 1ppm per 1,000,000 gallons (for 95% product)
    (weight of water in lbs / answer from above = LBS to raise CH 1ppm per 1,000 gallons (for 95% product))




    This information fits into a similar equation somehow:

    Boron
    Sodium Tetraborate Decahydrate (Molar Mass: 381.38 g/mol)
    Sodium Tetraborate Pentahydrate (Molar Mass: 291.29 g/mol)
    Boric Acid (Molar Mass: 61.83 g/mol)
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    JasonLion's Avatar
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    Re: Chemical math formula for borates (boron)

    Borate is measured in ppm of Boron. You also need to remember that Sodium Tetraborate contains more than one boron.
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    Re: Chemical math formula for borates (boron)

    I didnt think of that.

    Sodium Tetraborate Decahydrate: Na2B4O710H2O
    Sodium Tetraborate Pentahydrate: Na2B4O75H2O
    Boric Acid: H3BO3

    Sodium Tetraborates contain 4 borons while Boric Acid only conatains 1.
    Boron has a molar mass of 10.811 g/mol.

    So in the case of Boric Acid, it is 17% boron by weight (for a 100% boric acid product).
    10.811 / 61.83 = 0.17485
    8.3333333333333333 / 0.17485 = 47.6598 LBS to raise Borates 1ppm per 1,000,000 gallons (for 100% product)

    That looks right to me, is it?
    I'll have to come back later to try to calculate the other two which look more difficult.
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    JasonLion's Avatar
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    Re: Chemical math formula for borates (boron)

    That looks right, and matches Pool Math (given the rounding it does).
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    Re: Chemical math formula for borates (boron)

    I calculated STD like this which also matches. It wasnt any harder than the other one.

    Sodium Tetraborate Decahydrate (has 4 borons)
    4 x 10.811 = 43.244 (4 Borons are 43.244 g/mol)
    43.244 / 381.38 = 0.1133882217211 ( 100% STD Product is 11% boron by weight )
    8.3333333333333333 / 0.1133882217211 = 73.49381 LBS to raise Borates 1ppm per 1,000,000 gallons (for 100% Product)

    Sodium Tetraborate Pentahydrate would be the same formula but enter STP's g/mol instead of STD.

    Thanks Jason. Sometimes you need a push in the right direction.
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