Question

Two substances of relative densities d1&d2 are mixed in equal volume and the relative density of the mixture is 4.when they are mixed in equal masses, the relative density of the mixture is 3.then the values of d1&d2 are

Answer 1

When two substances densities P₁ and P₂ are mixed in equal volume,

Then V x P1+V x P2=(V+V) x 4

or P1 + P2=8-------(i)

When they are mixed in equal masses,

m/P1 +m/P2=(m+m) / (P)

Or P=2 P1x P2 / (P1 +P2)

or 3=2 P1x P2 / 8

Or P1 x P2 =12 ----(ii)

Solving (i) and (ii),we get P1=6 and P2=2