Chem 101 with Math Reactivation
In chemistry, setting up equations as proportions is a quick and efficient way to solve many different problems.
Proportions
A proportion is two equal ratios, that is
, where b≠0 and d≠ 0.
For example,
.
Proportion Property
In any proportion if
, then ad = bc.
Proof: Multiply both sides of the proportion by its common denominator
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ad = bc
1. Solve:
a)
b)
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3∙8 = 5x 7∙2 = 20x
x = 4.8 0.7 = x
2. If 100 grams of ice cream contains 13 grams of fat, how much fat is in 350 grams of ice cream?
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3. A 60 mL aqueous (in water) solution contains 25 mL of alcohol. If 1.0L of alcohol in water solution is to have the same concentration of alcohol, how much alcohol must it contain?
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4. The density of titanium is 4.54 g/cm3. What is the volume of 77.2 g of titanium?
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