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Liquid 1
Let ,
M 1 be the mass of liquid
p 1 be the density of the liquid
V 1 = V be the volume of the liquid
We know that,
Density = mass / volume
D 1 = M 1 / V
M 1 = V D 1 ....(1)
Liquid 2
Let ,
M 2 be the mass of liquid
p 2be the density of the liquid
V 1 = 2V be the volume of the liquid
D 2 = M 2 / 2 V
M 2 = D 2 (2 V ). ...(2)
Density of the mixture
= Total mass / volume
= M 1 + M 2 / V + 2 V
= V D 1 + D 2 (2 V ) / 3 V
= V ( D 1 + D 2 ) / 3 (V )
= D 1 +2 D 2 / 3
Density of the mixture = D 1 +2 D 2 / 3
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