Any problems that go from extensive variable (proportional to amount of material) to another can be solved using the factor labeling method (often incorrectly called dimensional analysis). Start with what you know: 48 grams of nitric acid and you want to find ml of solution by "canceling" units"
48 g of nitric acid ( 100 g solution/13 g nitric acid)(1 cm3/1.072 g of solution) (1 ml/1 cm3) = ml of sol'n
Note that percent is easily incorporated into the factor labeling analyses. Anything that is blah1/blah2 can be used to convert between blah1 and blah2 if the relationship applies.
Hope that helps!
JACQUES D.
tutor
Sure. Dimensional analysis occurs in various situations. Let's say you thing that the final velocity(m/s) of something you drop will depend on the height (m) and g, the acceleration due to gravity (m/s^2). The only way you can combine m and m/s^2 to get m/s by x, /, or power is to combine them as sqrt(gh) or sqrt((m/s^2)*m). This means you could compare sqrt(gh) with v from an experiment and get that v = sqrt(2)sqrt(gh) or sqrt(2gh). You can group physical quantities together in the correct ways so that you can generate one graph instead of many for problems with a lot of variables.
Report
09/20/20
J.R. S.
09/16/20