Question

the mixture of water and glycerol with water 50% by weight and glycerol 50% by weight what is the weight density of the total mixture if the density of water is 1gm/cc and that of glycerol is 1.36 gm/cc

Answer 1

let the total weight of the mixture = m gram

mass of glycerol = 50% of m = 0.5m gram
density of glycerol =  1.36 g/cc
volume of glycerol = 0.5m/1.36 cc

mass of water = 50% of m = 0.5m gram
density of water =  1 g/cc
volume of glycerol = 0.5m/1 cc = 0.5m cc

total volume = 0.5m + (0.5m/1.36)
                   = 0.5m(1+1/1.36)
                   = 0.5m(1.735)
                   =0.8675m cc

Density of mixture = mass/volume
                           = m/0.8675m
                           = 1.15 g/cc