Question #fa73a

Question

1903 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-18T00:20:20

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

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#