How Do You Calculate Mass and Density Using Dimensional Analysis?

AI Thread Summary
To calculate mass and density using dimensional analysis, the discussion focuses on three problems involving ethylene glycol, liquid density measurement, and dustfall conversion. The first problem requires calculating the mass of 417 mL of ethylene glycol with a density of 1.1 g/cm^3, which results in a mass of 458.7 grams. The second problem involves determining the density of a liquid by weighing a flask before and after filling it, leading to a density calculation of 0.79 g/mL. The third problem successfully converts dustfall from tons per square kilometer per month to milligrams per square meter per month, yielding a result of approximately 3.5 trillion mg/m^2/month. The discussion highlights the importance of understanding dimensional analysis for solving these types of problems.
montagical
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Homework Statement


I have a few problems that I'm unsure how to proceed with...

1. Ethylene glycol, and antifreeze, has a density of 1.1 g/cm^3. What is the mass, in grams, of 417 mL of this liquid? 1 cm^3 = 1 mL

2. To determine the density of a liquid, a flask is weighed empty (108.6g) and again when filled with 125 mL of a liquid (207.5g). What is the density of the liquid?

3. One ton is equal to 2000 pounds, 2.205 pounds = 1 kilogram. A typical rate of deposit of dust ("dustfall") from air that is not significantly polluted might be 3.86 tons per square kilometer per month. What is this dustfall, expressed in milligrams per square meter per month?




My attemps at number 3!

The only one I'm able to do, is the third one.

Here's my work, as best I can write here:

3.86tons/km^2/month x 2000lbs/1ton x 1kg/2.205lbs. x 1000m^2/1km^2 x 1000000mg/1kg

3.86 x 2000 x 1000000 x 1000/2.205

3.501133787 x 10^12 mg/m^2 /month is the answer that I got.

Unfortunately our teacher did not do a very good job teaching us DA...

Thanks for any help,

montagical
 
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Relevant formula you will need is ρ=M/V OR Density=Mass/Volume
 

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