Volume Conversions |
Key Concepts
- The unit of volume derived from SI units is the cubic meter, m3.
- Chemists in a laboratory usually deal with much smaller volumes than cubic meters and the metric but non-SI units of liter or litre (L) and milliliter or millilitre (mL or ml) are in common use.
- In 1964 the litre was redefined as being equal to exactly 1 cubic decimetre:
1L = 1dm3
So 1 milliltre = 1 cubic centimetre
1mL = 1cm3 (= 1cc)
- Non-metric units of volume can still be found in use around the world, eg, gallons of gas in the USA and a pint of beer in the UK.
Volume Conversions
Metric Unit Conversions
| factors |
1012 |
109 |
106 |
103 |
102 |
101 |
10-1 |
10-2 |
10-3 |
10-6 |
10-9 |
10-12 |
10-15 |
10-18 |
| prefix |
tera |
giga |
mega |
kilo |
hecto |
deca |
deci |
centi |
milli |
micro |
nano |
pico |
femto |
atto |
| symbol |
T |
G |
M |
k |
h |
da |
d |
c |
m |
µ |
n |
p |
f |
a |
| 1 litre (1L) = 103 millilitres (1000mL) |
1 millilitre (1mL) = 1 ÷ 103 litres = 0.001L |
| 1 megalitre (1ML) = 106 litres (1,000,000L) |
1 litre (1L) = 1 ÷ 106 megalitres = 10-6ML |
| 1 microlitre (1µL) = 10-6 litres |
1 litre (1L) = 1 ÷ 10-6 microlitres = 106µL |
Examples of Volume Conversions Using Metric Units
- Convert 1 litre to decilitres
From the table above we see that deci = 10-1 = 0.1
1dL = 0.1L
1L = 1 ÷ 0.1 dL = 10dL
- Convert 2.5L to millilitres
1L = 1,000 mL
2.5 L = 2.5 x 1,000mL = 2,500 mL
- Convert 5 millilitres to litres
From the table above we see that milli = 10-3
5mL = 5 x 10-3L = 0.005L
- Convert 0.250L to microlitres
1µL = 10-6L
1L = 1 ÷ 10-6 µL = 106 µL
0.250L = 0.250 x 106 µL = 2.50 x 105 µL = 250,000 µL
- Convert 25 µL to millitres
1 µL = 10-6L
25 µL = 25 x 10-6L = 2.5 x 10-5L
1L = 1,000 mL
2.5 x 10-5L = 2.5 x 10-5 x 1,000 L = 2.5 x 10-2mL = 0.025mL
Non-metric Units of Volume
- 1 US liquid gallon = 231 cubic inches = 3.785411784 litres
- 1 US fluid ounce = 1/128 US gallon = 0.0295735295625L = 29.5735295625mL
- 1 US pint = 1/8 US gallon = 16 US fluid ounces = 473.1764729984mL
- 1 US quart = 1/4 US gallon = 32 US fluid ounces = 946.3529459968mL
Examples of Conversion Between Empirical Units and SI Units of Mass
- Convert 10 US gallons to millilitres
1 gallon = 3.7854L
1L = 1,000mL
1 gallon = 1,000 x 3.7854 mL = 3,785.4mL
10 gallons = 10 x 3,785.4mL = 37,854mL
- Convert 2.5 US fluid ounces to millilitres
1 fl oz = 29.5735 mL
2.5 fl oz = 2.5 x 29.5735 mL = 73.9338 mL
- Convert 200 litres to US gallons
1 gallon = 3.7854L
1L = 1 ÷ 3.7854 gallon = 0.2642 gallon
so 200L = 200 x 0.2642 gallon = 52.8346 gallon
- Convert 150 millilitres to US fluid ounces
1 fl oz = 29.57353 mL
1mL = 1 ÷ 29.57353 = 0.03381 fl oz
So 150mL = 150 x 0.03381 fl oz = 5.072 fl oz
- Convert 500 millilitres to US quarts.
1 quart = 946.353 mL
1mL = 1 ÷ 946.353 quart = 0.00106 quart
So 500mL = 500 x 0.00106 quart = 0.528 quart
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| Practice Questions |
Homework Checker |
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Volume Conversions drill
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- Click the "New Question" button to begin the drill.
- Worked solutions are provided if you need some help!
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