Question

two substances of masses M and 3M are mixed in equal volumes if volume of which substance is V density of mixture is​

Answer 1

let a number of substances of masses M1, M2, M3 etc., and densities ρ1, ρ2, ρ3, etc. respectively be mixed together. The total mass of the mixture is M1 + M2 + M3 + ….

The total volume is M1/ ρ1 + M2/ρ2 + M3/ρ3 + …. , provided that the substances retain their individual states within the mixture.

Therefore, the density of the mixture is

http://www.quantumstudy.com/wp-content/uploads/physics1/fluidstatp2.png

The same expression may written in terms of the volumes:

The density of the mixture is

http://www.quantumstudy.com/wp-content/uploads/physics1/fluidstatp3.png

where V1, V2, V3 … represent the volumes of substances of densities ρ1, ρ2, ρ3 . . . in the mixture