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This problem is number 32 in chapter 8 of the chemistry structure and properties textbook second edition by tro.
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And the problem or question is as follows.
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To what volume should you dilute 25 millilit of a 10 molar sulfuric acid solution to obtain a 0 .150 molar sulfuric acid solution.
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So to begin, this is a dilution problem.
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So we are going to need the dilution equation.
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This can be found in this textbook on page 323 at the top, and is equation 8 .1.
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The equation is as follows.
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M1v1 equals m2v2.
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So let's begin by first breaking down our variables.
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So m is for molarity, which is a unit or a measure of concentration and units of moles per liter.
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V is for volume.
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For this specific equation, the units of volume do not typically matter, but they're usually in either liters or milliliters.
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As a side note, your teachers or professors may also write the equation like this using variables instead of numbers.
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So i and f.
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I is for initial or what you start with.
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That is the same thing as one in the above equation.
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F is for final, where you end up, where you end, and that is the same thing as two in our first equation up here.
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So let's go ahead and read the problem and see what we're given and what we need to solve for.
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So to what volume should you dilute 25 milliliters? so that's a volume of a 10 molar.
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Okay, that's molarity concentration.
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Sulfuric acid solution to obtain a 0 .150 molar.
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That's another solution.
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So if we're going to obtain this one, this is where we're going to end.
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This is our final.
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This is our initial.
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And if we're diluting it, it must be our stock solution.
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What we're starting with, m1 goes with v1.
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When we read this to begin with, there were some context clues to what volume should you dilute, which would have let us know that we were looking for v2, but it's also fine to do that at the end.
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So now that we have our variables, we know what they mean, their units, and the values, we can go ahead and start this problem...