Math in Chemistry

SI Units

100

Give the SI unit for expressing mass

kilogram

200

Bromine is a reddish-brown liquid. Calculate its density (in g/mL) if 586 g of the substance occupies 188 mL.

3.12 g/mL

300

The density of ethanol, a colorless liquid that is commonly known as grain alcohol, is 0.798 g/mL. Calculate the mass of 17.4 mL of the liquid.

13.9 g

400

The melting point of sulfur is 113^oC. Convert it to Kelvin.

386.15^oC

500

The ignition temperature of paper is 451°F. What is the temperature in degrees Celsius?

232.78°C

Unit Conversion

100

Convert 556 mL to liters (L).

0.556 L

200

What is the speed of a bus in km/h if it is traveling 45.0 mi/h?

Notes: 1 mi = 1.61 km

72.4 km/h

300

Michael stands 6.00 ft and 2.00 in. What is his height in centimeters (cm)?

Note: 1 in = 2.54 cm

187.96 cm

400

The density of ammonia gas under certain conditions is 0.625 g/L. Calculate its density in g/cm³

0.000625 g/cm³

or 6.25 x 10^-4 g/cm³

500

Convert 242 lb to milligrams (mg)

Note: 2.2 lb = 1 kg

110,000,000 mg

Scientific Notation

100

Express 47,764 in scientific notation

4.7764 x 10⁴

200

Express 0.000000027 in scientific notation.

2.7 x 10^-8

300

Express 7.78 x 10^-8 as a decimal.

0.0000000778

400

(3.26 x 10^-3 mg) - (7.88 x 10^-5 mg)

3.18 x 10^-3 mg

500

653 / (5.75 x 10^-8)

6.53 x 10²

Significant Figure

100

What is the number of significant figures in 0.00000003 cm?

1

200

What is the number of significant figures in 4.60 x 10¹⁹ atoms?

3

300

3.70 g - 2.9133 g

0.79 g

400

4.51 cm x 3.6666 cm

16.5 cm

500

5.6792 m + 0.6 m + 433 m

439 m