Density
Chemical/Physical
Dimensional Analysis
Recap of Early Topics
Challenge Dimensional Analysis
100

A sample has a mass of 50.0 g and a volume of 10.0 mL. What is its density?

5 g/mL

100

Cutting a pizza

Physical

100

Convert 2.00 lb to ounces.

32 ounces 

100

Multiply Using Sig Fig Rules

12.5 x 23.42

293

100

A research project lasts 2.50 years. Approximately how many hours does it last?

21,840 hours

200

A 60 grams piece of metal causes the water in a graduated cylinder to raise from 10 mL to 15.6 mL. What is its density?

10.7 g/mL

200
Melting Ice

Physical

200

A hiking trail is 3.75 miles long. How many inches long is the trail?

237,600 in

200

Accurate, Precise, Both, or Neither 

Hitting the center of the target 3/3 times.

Both

200

A chemistry student is preparing for a long-distance experiment. She needs to travel 7.25 miles to a laboratory. How many centimeters will she travel?

1,169,726.4 cm

300

A substance has a density of 2.00 g/mL and a volume of 15.0 mL. What is its mass?

30 grams

300

Fireworks

Chemical

300

A tank contains 6.25 gallons of liquid. How many milliliters does it contain?

23,687.5 mL

300

Calculate the percent error is a student weighs a 5.5 sample in the lab but was expected to weigh 5.7 grams. 

3.5%

300

A candy factory produces 2,450 pieces of candy per hour. The factory operates 16 hours per day, 6 days per week.

How many pieces of candy will the factory produce in 8 weeks?

1,881,600 pieces

400

A substance has a mass of 100 g and a density of 5.00 g/mL. What is its volume?

20 mL

400

Heating your pan of water so it boils when cooking noodles 

Physical 

400

An IV delivers medication at a rate of 75 drops/minute. How many mL/hour is this?

225 mL/hour

400

How many sig figs are in the number 0.020350

5

400

A patient receives medicine at a rate of 35 drops per minute. The medicine contains 20 drops per mL. The patient receives the medicine continuously for 6 hours.

How many milliliters of medicine does the patient receive?

630 mL

500

A student is given a piece of metal with a mass of 2.85 kg. The metal is placed into a graduated cylinder containing 125.0 mL of water. After the metal is completely submerged, the water level rises to 463.5 mL. What is the identity of the metal?

Aluminum: 2.70 g/cm³

Copper: 8.96 g/cm³

Silver: 10.5 g/cm³

Gold: 19.3 g/cm³

Copper

500

Dissolving salt in water

physical 

500

A road is 4.25 miles long. How many centimeters long is the road?

683971 cm

500

Multiply using sig figs:


1.4 x 104  x 5.56 x 10-3 

78

500

A car travels 28.5 miles per gallon of gasoline. The driver takes a road trip of 675 miles. Gasoline costs $3.49 per gallon.

How much money will the driver spend on gasoline for the trip?

$82.66