Question #913e1

1 Answer
Sep 28, 2017

"0.501 kg"

Explanation:

An interesting approach to have here would be to convert the density of mercury from grams per milliliter to kilograms per milliliter by using the fact that

color(blue)(ul(color(black)("1 kg" = 10^3color(white)(.)"g")))

So, you know that mercury has a density of "13.546 g mL"^(-1), which means that every "1 mL" of mercury has a mass of "13.546 g".

Use the aforementioned conversion factor to find the density of mercury in kilograms per milliliter

"13.546 g mL"^(-1) = (13.546 color(red)(cancel(color(black)("g"))))/"1 mL" * "1 kg"/(10^3color(red)(cancel(color(black)("g")))) = "0.013546 kg mL"^(-1)

So if "1 mL" of mercury has a mass of "0.013546 kg", you can say that "37.0 mL" of mercury will have a mass of

37.0 color(red)(cancel(color(black)("mL"))) * "0.013546 kg"/(1color(red)(cancel(color(black)("mL")))) = color(darkgreen)(ul(color(black)("0.501 kg")))

The answer is rounded to three sig figs, the number of sig figs you have for the volume of the sample.