Chemistry 111
Homework #1
Due: September 07, 2005 (Wednesday) 10:15 a.m. on Blackboard
Problems
1–10
. Some basic mathematics. If you have trouble with these, come see me, an SI, or
a math tutor ASAP.
1. Solve the following expression algebraically for y… Type your numerical answer in
Blackboard to three decimal places.
600
2
+
y
2
=
100
2. Solve the following expression algebraically for x… Type your numerical answer in
Blackboard to four decimal places.
6
x
!
12
3
x
=
72
3. Prime numbers are integers divisible only
by themselves and 1. What percentage of the
numbers between 1 and 12 (including 1 and 12) are prime numbers?
a) 25.0 %
b) 41.7 %
c) 5.06 %
d) 50.0 %
e) 33.3 %
f) 10.0 %
4. Given that PV = nRT, what is the mathematical expression for T?
a) PV – nR
b) nR/PV
c)
PV
nRT
d) PV/nR
e) PVnR
5. Solve the following expression algebraically for x…
4
=
3
x
2
!
12
x
a) –1.79
b) 3.59
c) 0.254
d) 4.46
e) –3.59
f) both
a
and
d
.
6. You are told that the symbol
ˆ
p
represents an operator that gives you an explicit mathematical
instruction. In this case the instruction is: “Take the logarithm base 10 of whatever and then
change the sign of the answer”. In other words…
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Homework #1 / Fall 2004
ˆ
p
=
!
log
Now let us define a quantity H = [H
3
O
+
] as the number 6.27
×
10
–11
. Based on the definition
above, what would be the value for the
ˆ
p
H? Type your numerical answer in Blackboard to
three decimal places.
7. Let’s try the same thing backwards… If you are told that the
ˆ
p
H is 7.72, what is the
numerical value for H = [H
3
O
+
]? Type your numerical answer in Blackboard to three
decimal places.
8. Is the following relationship true or false?
log 2
A
/
B
( ) =
2log
A
!
log
B
9.
A
=
A
0
exp
!
kT
{ }
is equal to
ln
A
A
0
=
!
kT
. True or false?
10. The natural log (ln) of a number can be negative. True or false?
11. A sample of potassium chloride from Chile contains the same percent by mass of potassium
as one from Poland.
a) Law of definite composition.
b) Law of conservation of mass.
c) Law of multiple proportions.
d) Law of mass action.
e) Law of conservation of energy.
12. A marble that rolls down the aisle in Strosacker Hall loses potential energy and gains kinetic
energy, but the sum of these two values remains the same (assume no friction).
a) Law of definite composition.
b) Law of conservation of mass.
c) Law of multiple proportions.
d) Law of mass action.
e) Law of conservation of energy.
13. H
2
O liquid has the same mass % H as does H
2
O vapor.
a) Law of definite composition.
b) Law of conservation of mass.
c) Law of multiple proportions.
d) Law of mass action.
e) Law of conservation of energy.
14. Arsenic and oxygen form one compound that is 65.2 mass percent arsenic and another that is
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 Spring '08
 Kenney
 Chemistry, numerical answer, Mass.

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