How Do You Calculate Mass and Density Using Dimensional Analysis?

[montagical]

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

 

[rock.freak667]

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