Chem20, Elementary Chemistry
Chapter Two
58.) Perform each calculation to the correct number of significant figures. a.) 89.3 (3 sig. figs.) x 77.0 (3 sig. figs.) x 0.08 (1 sig. fig) = 550 600 (1 sig. fig.) b.) (5.01
10
5
) (3 sig. figs.) ÷ (7.8
10
2
) (2 sig. figs.) = 642 640 (2 sig. figs) c.) 4.005 (4 sig. figs.) x 74 (2 sig. figs.) x 0.007 (1 sig. fig.) = 2.0 2 (1 sig. fig.) d.) 453 (3 sig. figs.) ÷ 2.031 (4 sig. figs.) = 223.0 223 (3 sig. figs.)
66.) Perform each calculation to the correct number of significant figures. a.) (1.7
10
6
÷ 2.63
10
5
) + 7.33 =
(6.46 (2 sig. figs) ) + 7.33 = 13.79 (1 decimal place) 13.8
b.) (568.99 – 232.1) ÷ 5.3
(336.89 (1 decimal place) ) ÷ 5.3 = 63.5 (2 sig. figs.) 64 c.) (9443 + 45 – 9.9) x 8.1
10
6
(9478.1 (ones position) ) x 8.1 10
6
= 7.67 10
10
(2 sig. figs.) 7.7
10
10 d.) (3.14 x 2.4367) – 2.34
(7.651 (3 sig. figs.) ) – 2.34 = 5.311 (2 decimal places) 5.31
72.) Perform each conversion within the metric system. a.) 1.08 Mm to kilometers
0 m
0 m
m
m
0 m b.) 4.88 fs to picoseconds
1.08
10
3
km
s c.) 7.39 10
0
-
s
11
s
s
0
- 2
s
4.88
m to gigameters
10
-3
ps
0 m
m
0 m
7.39 d.) 1.15
10
-10
m to picometers
10
2
Gm
0
- 0
m
m
0
- 2
m
1.15
10
2
pm
83.) A runner wants to run 10.0 km. She knows that her running pace is 7.5 mi/hr. How many minutes must she run?
0 0 m
mi
m
hr
mi
0 min
hr
49.6
50. or 5.0
10
1
minutes (2 sig. figs. from 7.5)
116.) A hybrid SUV consumes fuel at a rate of 12.8 km/L. How many miles can the car travel on
22.5 gallons of gasoline?
22 al
al
2 m mi
m
677.0 677 miles