Review Exercises

1. Write each of the following in proper scientific notation:

a) 0.0623 ______

b) 48 x 10-2 ______

c) 123.456 x 10-3 ______

d) 0.0010006 ______

e) 0.00369 x 104 ______

2.  For the following calculations, express the answer to the correct number of significant figures.

a) 1.60 x 10-3 + 9.0 x 10-3 = ______

b) 3.89 (2.8 x 102)/ 400 = ______

c) 1.0 x 101 + 1.0 x 102 = ______

d) (0.020) (0.002) (0.200) = ______

3. How many significant figures are in the following numbers?

a) 300.00 ______

b) 0.0060 ______

c) 0.2030 ______

d) 0.001 ______

e) 3800 ______

f) 06001.000 ______

4. Supply the correct number for each of the following. Show all work.

a) 16.7 μL = ______mL

b) 10.2 km = ______cm

c) 100 mL = ______mm3

d) 0.005 kg = ______mg

e) 0.020 M = ______mM (M = molarity)

f) 246.9 J = ______kJ

5. Give the formulas of the following compounds.

a) magnesium nitrite ______

b) silver oxide ______

c) zinc nitride ______

d) iron (II) carbonate ______

e) ammonium acetate ______

f) phosphoric acid ______

g) sulfurous acid ______

h) hydrocyanic acid ______

i) acetic acid ______

j) carbon tetrachloride ______

k) dinitrogen tetroxide ______

l) ammonium hydroxide ______

m) nitrogen dioxide ______

6. Complete the following table:

g / kg / mg / μg / ng
1.3 x 10-4 g
12.6 ng
1.55 x 105 μg
1.99 x10-3 kg
8.66 x 10-5 mg

7. Acetone (fingernail-polish remover) has density of 0.7857g/cm3.

a) What is the mass in grams of 28.56 mL of acetone?

b) What is the volume in milliliters of 6.54 g of acetone.

8. A titanium bicycle frame contains the same amount of titanium as a titanium cube measuring 6.8 cm on a side. Use the density of titanium (d = 4510 kg/m3) to calculate the mass in kilograms of titanium in the frame. What would be the mass of a similar frame composed of iron (d = 7850 kg/m3)?

9. When ice melts, it absorbs 0.33 kJ per gram. How much ice (in grams) is required to cool a 12.0 oz drink from 75 ºF to 35 ºF if the heat capacity of the drink is 4.18 J/g ºC? (Assume 100 % efficiency in heat transfer.)