Question

Question #67af4

Answer 1

The mass of the sample is 0.37 mg.

Explanation:

You probably know that the formula for density `ρ` is

`color(blue)(bar(ul(|color(white)(a/a)ρ = m/Vcolor(white)(a/a)|)))" "`

where

`m =` the mass and
`V =` the volume of the sample

We can rearrange this formula to get

`m = V×ρ`

In your problem.

`V = 55 color(red)(cancel(color(black)("cm"^3))) × "1 m"^3/(10^6 color(red)(cancel(color(black)("cm"^3)))) = 5.5 × 10^"-5"color(white)(l) "m"^3`
`ρ = "6.7 g/m"^3`

∴ `m =5.5 × 10^"-5" color(red)(cancel(color(black)("m"^3))) × "6.7 g"/(1 color(red)(cancel(color(black)("m"^3)))) = 3.7 × 10^"-4"color(white)(l) "g" = "0.37 mg"`