Problem Set #1 Answer Key

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Supplemental Problem Set #1
1. Complete the following conversions using the appropriate number of significant
figures. Hint: For metric conversions always use the following roadmap:
old unit  base unit 
 
a. 4.57 inches to meters
4.57 in x
2.54 cm 0.01 m
x
 0.116 m
1 in
1 cm
b. 7.8 L to µL
7.8 L x
1 L
 7.8 x 10 6 L
-6
1 x10 L
c. 0.0000215 gallons to ml
0.0000215 gal x
4 qt
1 gal
x
946 ml
1 qt
 0.0814 ml
d. 4.00 mile3 to cm3
3
3
3
 1.61 km   1000 m   1 cm 
16
3
4.00 mile x 
 x
 x
  1.67 x 10 cm
 1 mile   1 km   0.01 m 
3
e. 9.050 lbs. to mg
9.050 lbs x
454 g
1mg
x
 4.109 x 10 6 mg
1lb
0.001 g
f. 5.5 days to seconds
5.5 days x
24 h
1 day
x
60 min
1h
x
60 s
1min
 4.8 x 10 5 s
g. 75°F to K
(75 o F  32)
 24 o C ; 24C + 273 = 297 K
1 .8
2. The average African humming bird can flap its wings 15 times per second. How
many flaps could a humming bird flap if a humming bird could flap 2.5 hours nonstop?
60 min 60 s 15 flaps
2.5 h x
x
x
 1.4 x 10 5 flaps
1h
1 min
1s
3. The average respiration rate of a newborn infant is about 30 breaths per minute.
The average volume of each breath is 125 ml. How many liters of air does a
newborn breath in 3.0 weeks.
3.0 weeks x
7 days 24 h 60 min 30 breaths 125 ml
1L
x
x
x
x
x
 1.1 x 10 5 L
1 week 1 day
1h
1min
1breath 1000 ml
4. An unknown solid has a mass of 27.35 g. A graduated cylinder is filled with 50.0 ml
of water and the solid is then added. The final volume in the cylinder is 74.3 ml.
What is the density of the unknown solid?
Solid volume: 74.3 ml – 50.0 ml = 24.3 ml
density 
mass
27.35 g

 1.13 g ml
volume
24.3 ml
5. A liquid has a density of 3.54 g/ml. What is the volume of 75.0 g of this liquid?
75.0 g x
1ml
 21.7 ml
3.45 g
6. Write the complete electron configuration and electron diagram for oxygen. Do not
use noble gas shorthand. Write the Lewis structure for oxygen.
O: 1s22s22p4
O: 1s2s2p _ _
O
7. Write the complete electron configuration and electron diagram for tin. Write the
Lewis structure for tin.
Sn: [Kr]5s24d105p2
Sn: [Kr]5s4d    5p  __
Sn
8. a) Calculate the average relative atomic weight for unknown element R given the
following data:
mass
relative abundance
112 R
111.9872
amu
64.23%
48
113
48
R
112.9787 amu
28.73%
114
48
R
113.9929 amu
7.04%
112
48
R:
111.9872 amu x 0.6423 = 71.93 amu
113
48
R:
112.9787 amu x 0.2873 = 32.46 amu
114
48
R:
113.9929 amu x 0.0704 = 8.03 amu
112.42 amu
b) Determine the number of protons, neutrons, and electrons in 112R and identify R.
112
48
R: p+ = 48, e- = 48, n = 64
R = Cd
9. Give a complete and detailed description of the three states of matter.
See notes.
10. Name the following compounds:
a) Na2SO3
sodium sulfite
b) K2CO3
potassium carbonate
c) Li3PO4
lithium phosphate
d) Fe(NO3)3
iron (III) nitrate
11. Determine formulas from the following names:
a) phosphorus pentachloride
PCl5
b) copper(II) bromide
CuBr2
c) iron (III) phosphate
FePO4
d) mercury (II) nitrate
Hg(NO3)2
e) dinitrogen tetraoxide
N2O4
12. Write an equation for the complete ionization of the following compounds:
a) sulfuric acid
H2SO4  2H+ + SO42-
b) nitric acid
HNO3  H+ + NO3-
c) calcium hydroxide
Ca(OH)2  Ca2+ + 2OH-
d) aluminum sulfate
Al2(SO4)3  2Al3+ + 3SO42-
e) phosphoric acid
H3PO4  3H+ + PO43-
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