Question

An empty density bottle of weight 30 g, when filled completely with water weighs 62 g. When filled completely with another liquid the weight is 54 g

Calculate -

(a) The volume of density bottle

(b) The density of the liquid

Answer 1

Mass of empty density bottle = 30 gm
mass of density bottle with water in it 62 gm
Mass if density bottle with the liquid = 54 gm
Mass of water only = 62-30=32 gm
(a) Now volume of 1 g of water = $1c{m}^3$
$\therefore$ Volume of density bottle = 32 $c{m}^3$
(b) Mass of liquid only = 54-30=24 gm
$\therefore$ density of the liquid = $\therefore \frac{Massofliquidonly}{Volumeofliquid}$
$=\frac{24g}{32c{m}^3}=0.75g/c{m}^3$