Solving Real Problems With Chemistry

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The space between the two temperatures is divided into 100 equal intervals, which we call degrees.

On the scale, the freezing point of water is defined as 32 °F and the boiling temperature as 212 °F.

The space between these two points on a Fahrenheit thermometer is divided into 180 equal parts (degrees).

Defining the Celsius and Fahrenheit temperature scales as described in the previous paragraph results in a slightly more complex relationship between temperature values on these two scales than for different units of measure for other properties.

The mercury or alcohol in a common glass thermometer changes its volume as the temperature changes.

Because the volume of the liquid changes more than the volume of the glass, we can see the liquid expand when it gets warmer and contract when it gets cooler.

This is why it is referred to as the factor-label method.

As your study of chemistry continues, you will encounter many opportunities to apply this approach.

Note that, just as for numbers, when a unit is divided by an identical unit (in this case, m/m), the result is “1”—or, as commonly phrased, the units “cancel.” These calculations are examples of a versatile mathematical approach known as . are equivalent (by definition), and so a unit conversion factor may be derived from the ratio, $\mathrm$ Several other commonly used conversion factors are given in Table $$\Page Index$$.

When we multiply a quantity (such as distance given in inches) by an appropriate unit conversion factor, we convert the quantity to an equivalent value with different units (such as distance in centimeters).

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