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Summer Assignment Honors Chemistry - Ridge PTO

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Conversion Problems and Dimensional Analysis<br />

We will be using dimensional analysis (also called factor label and unit<br />

conversions) to solve chemistry problems. This method makes use of<br />

ratios called conversion factors. Conversion factors are ratios of two<br />

quantities that are equal to one another.<br />

To solve a problem using dimensional analysis, the given measurement<br />

must be multiplied by a conversion factor that allows the units given to<br />

cancel so that the desired unit remains.<br />

Let us convert 72 inches to feet.<br />

72 inches X 1 foot/12 inches = (72/12) feet = 6 feet<br />

Perform the following conversions using dimensional analysis. You may<br />

have to look up the conversion factors. Show your work.<br />

1. 7 yards to feet<br />

2. 5.3 centimeters to meters<br />

3. 87 m 3 to cm 3<br />

4. 743 feet to miles<br />

5. How many gallons of gasoline can be purchased for $18.00 if the cost of<br />

gasoline is $3.53 per gallon?<br />

6. A student experiences a growth spurt and measures 5 feet and 10<br />

inches. Express his height in meters.<br />

Become familiar with the metric units of Kilo, Hecto, Deka, Deci, Centi, and<br />

Milli and how they can be converted from one to another. Dimensional<br />

analysis can be used for these conversions.<br />

The following problems will enable you to fine tune your math skills and<br />

experience the level of difficulty that you will encounter during the school<br />

year in <strong>Honors</strong> <strong>Chemistry</strong>. Please show all work and circle your answer.<br />

1. If speed is equal to distance divided by time, and time is equal to<br />

distance divided by speed, what is distance equivalent to?

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