Unit Conversion Class Work 3
1)
Write each of the equivalence statements relating all the metric units.
2)
Convert 3.2 x 105 g to grams.
3)
Convert 7.4 x 10-2 L to mL.
4)
Calculate the density of a 235.0 mL balloon with a mass of 7.43 g
5)
Convert 2.0 x 108 g to g.
6)
Convert 100.00C to Kelvin
7)
Determine the density of a 35.0 g sample that occupies 2.38 cc
8)
Convert 21.3 km to cm.
9)
Convert 23.0C to K.
10)
Find the volume of a 27.50 g sample that has a density of 1.395 g/cc
11)
Convert 400.0 cg to g
12)
Convert 1.34 x 1012 ng to kg
13)
Convert 4500 mL to liters
14)
Calculate the mass of a 125 mL sample with a density of 0.864 g/cc
15)
How many cL are there in a 2 L bottle of soda?
16)
If the density of soda is 1.11 g / mL, calculate the mass of 1.00 L.
17)
Identify the largest of each of the following sets of measurements
a. 1.00 x 10-4 cm, 2.85 x 10-5 mm, or 4.85 x 10-11 km
b. 3.8 x 103 g, 8.3 x 106 ng, or 7.4 mg
c. 6.32 x 105 cL, 3.75 kL, or 6.84 x 106 mL
d. 23°C or 294 K
18)
km
Fill in the following table:
m
cm
1.25 x
mm
mm
nm
105
5.3 x 10-6
89.6
2.94 x 104
0.0063
8,400
Challenge questions
(not on test but good mental practice)
19)
You’re making cookies for a fundraiser and need 1.25 kg of chocolate
but at the store they only sell 500.0 g blocks. How many 500.0 g
blocks of chocolate should you buy?
20)
You need to measure out 750.00 g of mercury and must use the
smallest container possible. The density of mercury is 13.534 g/cc
and you have the following beakers available: 25 mL, 50 mL, 75 mL,
and 100 mL. What is the smallest beaker that will hold the mercury?
21)
A laboratory experiment calls for 25.00 mL of liquid lead.
Unfortunately you don’t have a graduated cylinder, only a balance.
What mass of lead should you measure out? (Density of lead = 11.342
g/cc)
22)
There are two blocks of cheese for sale at the supermarket. You like
both brands and are looking for the cheaper of the two. One has a
mass of 35.0 g and costs $2.50, the other costs $3.45 and has a mass of
45.0 g. Which cheese is less expensive per gram?
23)
A car is said to drive 32.5 miles per gallon. If the car has a 15.5 gallon
tank, how many miles can you drive on a full tank of gas?
Unit Conversion Class Work 3 Answers
1)
Write each of the equivalence statements relating all the metric units.
(Include, kg, cg, mg, g, ng)
2)
Convert 3.2 x 105 g to grams.
0.32 g
3)
Convert 7.4 x 10-2 L to mL.
74 mL
4)
Calculate the density of a 235.0 mL balloon with a mass of 7.43 g
7.43 / 235.0 = 0.0316 g/mL
5)
Convert 2.0 x 108 g to g.
2.0 x 102 g
6)
Convert 100.00C to Kelvin
373 K
7)
Determine the density of a 35.0 g sample that occupies 2.38 cc
35.0 / 2.38 = 14.7 g / cc
8)
Convert 21.3 km to cm.
2.13 x 106 cm
9)
Convert 23.0C to K.
296 K
10)
Find the volume of a 27.50 g sample that has a density of 1.395 g/cc
1.395 = 27.50 / V
V = 19.71 cc
11)
Convert 400.0 cg to g
4.000 g
12)
Convert 1.34 x 1012 ng to kg
1.34 kg
13)
Convert 4500 mL to liters
4.5 L
14)
Calculate the mass of a 125 mL sample with a density of 0.864 g/cc
0.864 = m / 125
m = 108 g
15)
How many cL are there in a 2 L bottle of soda?
16)
If the density of soda is 1.11 g / mL, calculate the mass of 1.00 L.
1.11 = m / 1000
17)
200 cL
m = 1,100 g
Identify the largest of each of the following sets of measurements
a. 1.00 x 10-4 cm, 2.85 x 10-5 mm, or 4.85 x 10-11 km
b. 3.8 x 103 g, 8.3 x 106 ng, or 7.4 mg
c. 6.32 x 105 cL, 3.75 kL, or 6.84 x 106 mL
d. 23°C or 294 K
18)
km
Fill in the following table:
m
cm
mm
mm
nm
125
5.3 x 10-6
1.25 x 105
5.3 x 10-3
1.25 x 107
0.53
1.25 x 108
5.3
1.25 x 1011
5.3 x 103
1.25 x 1014
5.3 x 106
8.96 x 10-5
2.94 x 10-5
6.3 x 10-8
8.4 x 10-9
8.96 x 10-2
2.94 x 10-2
6.3 x 10-5
8.4 x 10-6
8.96
2.94
0.0063
8.4 x 10-4
89.6
29.4
0.063
8.4 x 10-3
8.96 x 104
2.94 x 104
63
8.4
8.96 x 107
2.94 x 107
6.3 x 104
8,400
19)
Challenge questions (not on test but good mental practice)
You’re making cookies for a fundraiser and need 1.25 kg of chocolate
but at the store they only sell 500.0 g blocks. How many 500.0 g
blocks of chocolate should you buy?
3 blocks
20)
You need to measure out 750.00 g of mercury and must use the
smallest container possible. The density of mercury is 13.534 g/cc
and you have the following beakers available: 25 mL, 50 mL, 75 mL,
and 100 mL. What is the smallest beaker that will hold the mercury?
55.4 mL of mercury so need the 75 mL beaker
21)
A laboratory experiment calls for 25.00 mL of liquid lead.
Unfortunately you don’t have a graduated cylinder, only a balance.
What mass of lead should you measure out? (Density of lead = 11.342
g/cc)
283.6 g
22)
There are two blocks of cheese for sale at the supermarket. You like
both brands and are looking for the cheaper of the two. One has a
mass of 35.0 g and costs $2.50, the other costs $3.45 and has a mass of
45.0 g. Which cheese is less expensive per gram?
$2.50 / 35.0 = 0.0714 $ / g
$3.45 / 45.0 = 0.0767 $ / g
So the 35.0 g one is cheaper
23)
A car is said to drive 32.5 miles per gallon. If the car has a 15.5 gallon
tank, how many miles can you drive on a full tank of gas?
15.5 gal (32.5 mi/gal) = 504 miles