Chemistry Unit 2: Dimensional Analysis

Scientific Notation

100

Express 0.0000256 in scientific notation

2.56 x 10^-5

200

Express 6.42 x 10^-8 in standard notation

0.0000000642

300

Perform the following multiplication: 

(5.2 × 10^4) × (3.0 × 10^-3)

1.6 x 10^2 OR 160

400

Divide (8.0 × 10^6) by (2.5 × 10^2) 

3.2 x 10^4 OR 32,000

500

Calculate the result of 

(2.5 x 10^8) divided by (5.0 x 10^-5)

5.0 x 10^12 OR 5,000,000,000,000

Multi-step Problems

100

A chemical reaction yields 0.025 grams of a product. How many kilograms is this?

0.000025 kilograms (kg)

200

You're planning a trip, and your suitcase can hold 60.0 pounds. How many kilograms can it carry?

27.2 kilograms (kg)

300

Convert 5.0 feet to centimeters.

~150cm (152.4 without SF)

400

Mr. Meske is 7.16x10^8 seconds (716,000,000 seconds) old. How many years old is Mr. Meske?

~ 22.7 years old

500

A recipe calls for 250 milliliters of a liquid. Convert this to fluid ounces (1 fluid ounce ≈ 29.5735 milliliters).

~ 8.5 fluid ounces

Metric Conversions

100

Convert 500 milliliters to liters.

0.5 liters (L)

200

Express 0.05 kilometers in meters.

50 meters (m)

300

Convert 300 grams to milligrams.

300,000 milligrams (mg)

400

How many centimeters are in 2.5 kilometers?

250,000 centimeters (cm)

500

How many nanoliters are in 2.5 Megaliters

2.5 × 10¹⁵ nanoliters

Temperature Conversions

100

Convert 100 degrees Celsius to Kelvin.

373 Kelvin (K)

200

In a lab experiment, you need to work with a cryogenic substance at -196 degrees Celsius. Convert this temperature to Kelvin.

77 Kelvin (K)

300

Convert 25 degrees Celsius to Fahrenheit.

77 degrees Fahrenheit (°F)

400

If a sample is at -10 degrees Fahrenheit, what is the temperature in degrees Celsius?

-23.3 degrees Celsius (°C)

500

Your friend is visiting from Europe, and they mention that it's 25 degrees Celsius outside. Convert this temperature to degrees Fahrenheit.

77 degrees Fahrenheit (°F)

Significant Figures

100

Perform the following addition with appropriate significant figures: 3.2 + 1.45 + 0.007.

4.65 (rounded to 3 significant figures)

200

Multiply 2.3 by 1.12 with the correct number of significant figures

2.6 (rounded to 2 significant figures)

300

Divide 7.89 by 2 with the appropriate significant figures.

4 (with no decimal places)

400

Subtract 0.0246 from 3.051 with the correct number of significant figures.

3.026

500

Calculate the result of (9.33 x 10^5) divided by (4.1 x 10^-2) with the correct significant figures.

2.3 x 10^7