Question 2.30: Density as a Conversion Factor What is the volume in liters ......
Density as a Conversion Factor
What is the volume in liters of 321 g of a liquid with a density of 0.84 g/mL?
Step-by-Step
GIVEN: 321 g
FIND: volume in L
SOLUTION MAP
RELATIONSHIPS USED
0.84 g/mL (given in the problem)
1 L = 1000 mL (Table 2.2)
SOLUTION
321 \cancel{g}\times \frac{1 \cancel{ml}}{0.84 \cancel{g}} \times \frac{1 L}{1000 \cancel{ml}}= 0.382 L = 0.38 L
The answer is in the correct units. The magnitude seems right because the density is slightly less than 1; therefore, the volume (382 mL) should be slightly greater than the mass (321 g).
Table 2.2
| SI Prefix Multipliers | ||||
| Prefix | Symbol | Meaning | Multiplier | |
| tera- | T | trillion | 1,000,000,000,000 | (10^{12}) |
| giga- | G | billion | 1,000,000,000 | (10^{9}) |
| mega- | M | million | 1,000,000 | (10^{6}) |
| kilo- | k | thousand | 1,000 | (10^{3}) |
| hecto- | h | hundred | 100 | 10^{2} |
| deca- | da | ten | 10 | 10^{1} |
| deci- | d | tenth | 0.1 | (10^{-1}) |
| centi- | c | hundredth | 0.01 | (10^{-2}) |
| milli- | m | thousandth | 0.001 | (10^{-3}) |
| micro- | µ | millionth | 0.000001 | (10^{-6}) |
| nano- | n | billionth | 0.000000001 | (10^{-9}) |
| pico- | p | trillionth | 0.000000000001 | (10^{-12}) |
| femto- | f | quadrillionth | 0.000000000000001 | (10^{-15}) |
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