Question #913e1
1 Answer
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
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
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.