Question

The label on a soft drink bottle gives the volume in two units: 2.0 L and 67.6 fl oz. Use this information to derive a conversion factor between the English and metric units. How many significant figures can you justify in your conversion factor?

2.0L:67.6fl oz
a)2.0L:2000mL
b)2.0L:67.6oz
c)2.0L:67.6fl oz
d)2.0L:67.60fl oz

Answer 1

The conversion factor between the English and metric units can be written as 2.0 L : 67.6 fl oz, which has 1 significant figure. Correct option is c.

Step-by-step explanation:

To derive a conversion factor between English and metric units using the given information, we can use the fact that 1 liter is equal to approximately 33.814 fluid ounces (fl oz). Therefore, the conversion factor between the two units can be written as:

2.0 L : 67.6 fl oz

This conversion factor has 1 significant figure because the stated conversion ratio has only 2 significant figures. We can justify using 1 significant figure in the conversion factor because both the given volume measurements have only 2 significant figures.