The realtive density of mercury is 13.6. Find the ratio of the mass of mercury of a certain volume to that of water having ten times the volume of mercury.

Explanation

Let `V cm^(3) "be the volume of mercury".`
`therefore "volume of water" = 10 V cm^(3)`
`"Density of mercury" = 13.6 g cm^(-3)`
`therefore "Mass of mercury", m_(1)+(13.6) V g`
`"Density of water" = 1 g cm^(-3)`
` therefore "Mass of water", m^(2) = (10 V) (1) g = 10 V g.`
`"Required ratio is" m_(1), m_(2) = 13.6 V : `
`10 V = 34 : 25 or 1.36 : 1 `