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Math for Life - Life: The Science of Biology, Seventh ... - WH Freeman

Math for Life - Life: The Science of Biology, Seventh ... - WH Freeman

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<strong>Math</strong> <strong>for</strong> <strong>Life</strong>TOPIC 4: MAKING SOLUTIONS / Page 2Written as one expression, the relationship looks like this:−219.08 g 10 1 L500 . mol × ×mol LIf you rewrite the L as the denominator <strong>of</strong> the first variable, and note that the secondvariable is molecular weight, this simplifies even further, providing a recipe <strong>for</strong> makingsolutions from dry chemicals.RECIPE SHORTCUT:Final Molarity × Molecular weight × Final volume [L] = Grams to addDon’t <strong>for</strong>get to bring the solution up to final volume.SOLUTIONS 4.2: Dealing with Hydrated CompoundsSome chemicals come with water molecules attached. For example, you can buysodium phosphate as NaH 2PO 4•H 2O (sodium phosphate monobasic). <strong>The</strong> practicalconsequence <strong>of</strong> this is that <strong>for</strong> every mole <strong>of</strong> sodium phosphate you add to yoursolution, you are also adding a mole <strong>of</strong> water.You can also buy sodium phosphate with 12 waters attached: Na 3PO 4•12H 2O(sodium phosphate tribasic). For every mole <strong>of</strong> sodium phosphate you add, youare adding 12 moles <strong>of</strong> water.One mole <strong>of</strong> water has a mass <strong>of</strong> 18.015 grams, and it has a volume <strong>of</strong> 18.015mL. Twelve moles <strong>of</strong> water make up a volume <strong>of</strong> 216.18 mL. This can wreakhavoc with your final concentrations.<strong>The</strong> easy way to deal with this potential problem is to use the following methodwhen working with hydrated compounds.BACKTOCNEXT

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