Practice Problem: Dimensional Analysis

The video tutorial covers dimensional analysis, focusing on converting units. It includes two practice problems: converting ounces to liters and converting density from kilograms per cubic meter to grams per cubic centimeter. The tutorial emphasizes the importance of using correct conversion factors and significant figures in calculations.

What is the first step in converting ounces to liters?

• Multiply by 1.0567 quarts over 1 liter

• Multiply by 1 quart over 32 ounces

• Multiply by 1 liter over 1.0567 quarts

• Multiply by 32 ounces over 1 quart

Why is it important to place ounces on the bottom of the conversion factor?

• To increase the number of significant figures

• To cancel out ounces

• To simplify the calculation

• To ensure liters are on top

How many significant figures should the final answer have when converting 1.00 ounces to liters?

• Two significant figures

• Three significant figures

• Four significant figures

• Five significant figures

What is the initial density of the packaging material given in the problem?

• 47.93 grams per cubic meter

• 47.93 kilograms per cubic meter

• 47.93 kilograms per cubic centimeter

• 47.93 grams per cubic centimeter

What conversion factor is used to change kilograms to grams?

• 100 grams over 1 kilogram

• 1 kilogram over 1000 grams

• 1000 grams over 1 kilogram

• 1 gram over 1000 kilograms

How many times must the conversion factor for meters to centimeters be applied to convert cubic meters to cubic centimeters?

• Once

• Twice

• Three times

• Four times

What is the final density of the packaging material in grams per cubic centimeter?

• 47.93 grams per cubic centimeter

• 0.4793 grams per cubic centimeter

• 0.04793 grams per cubic centimeter

• 4.793 grams per cubic centimeter