Question

Question #fa73a

Answer 1

The density of the liquid is `1.22 × 10^4 color(white)(l)"kg/m"^3`.

Explanation:

The relative density of a substance is its density compared to the density of a reference substance (usually water).

`color(blue)(|bar(ul(color(white)(a/a) "RD" = ρ_text(substance)/ρ_text(water)color(white)(a/a)|)))" "`

where

`"RD"` = the relative density of the substance
`ρ_text(substance)` = the actual density of the substance
`ρ_text(water)` = the density of water

We can rearrange the formula to get

`ρ_text(substance) = "RD" × ρ_text(water)`

In your problem,

`"RD" = 12.2`
`ρ_"water" = "1 × 10 × 10 × 10 kg/m"^3 = 1 × 10^3 color(white)(l)"kg/m"^3`

∴ `ρ_"substance" = 12.2 × 1 × 10^3 color(white)(l)"kg/m"^3 = 1.22 × 10^4color(white)(l) "kg/m"^3`