converting between different kinds of units Density can be used to convert as

# Converting between different kinds of units density

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converting between different kinds of units. Density can be used to convert (as conversion factor) between the mass and the volume of a substance. For example , consider mercury, which is a liquid at room temperature and has a density of 13.6 g/mL. The density tells us that 13.6 g of mercury have a volume of 1 mL. We can write that relationship as follows: 13.6 g mercury = 1 mL mercury This relationship can be used to construct two conversion factors: 13.6g / 1mL or 1mL / 13.6g Which one do we use? It depends, as usual, on the units we need to cancel and introduce. For example , suppose we want to know the mass of 16 mL of mercury. We would use the conversion factor that has milliliters on the bottom (so that the milliliter unit cancels) and grams on top so that our final answer has a unit of mass:
9 16mL × 13.6g / 1mL = 217.6g 220g Density can be used as a conversion factor between mass and volume. Exercise: A mercury thermometer for measuring a patient’s temperature contains 0.750 g of mercury. What is the volume of this mass of mercury? SOLUTION Because we are starting with grams, we want to use the conversion factor that has grams in the denominator. The gram unit will cancel algebraically, and milliliters will be introduced in the numerator. 0.750g × 1mL / 13.6g = 0.055147…mL 0.0551mL Exercise: What is the volume of 100.0 g of air if its density is 1.3 g / L?

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• Winter '20
• Dr. Majed Saeed
• different units

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