Question

if two liquids of same volume but different densities 9g/cc and 10g/cc are mixed. find the density of mixture

Answer 1

Let the volume of both the liquids be V

P1 and P2 be the density of both liquids

According to formula volume = mass / density

V+V= mass(assume very less)/P1+mass(assumed very less)/P2

2V = P1+P2/P1*P2

V= P1+P2/2P1*P2

NOW USING 1

DENSITY = MASS/VOLUME

DENSITY = 1/P1+P2/2P1*P2

DENSITY = 2P1*P2/P1+P2

Answer 2

if 1 cc liquid of vol 9g/cc and 1 cc liquid of vol 10 gm is mixed then
total vol of mixture= 2cc and total weight = 19gm

so, density of mixture= weight/vol
ie. den = 19/2= 9.5gm/cc