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Question

Two liquids of densities 2.5gm/cm3 and 0.8gm/cm3 are taken in the ration of their masses as 2:3, respectively. Find the average density of the liquid combination.

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Solution

Let the liquid be 2m am and 3m gm respectively. therefore, the volume of the first liquid of density 2.5gm/cm3 is V1=2m2.5cm3
That of the second liquid is V2=3m0.8cm3
Total volume V=V1+V2=2m2.5+3m0.8cm3
Total mass =2m+3m=5mgm
Therefore, the average density
ρav=5mV=5m2m2.5+3m0.8=522.5+30.8=gm/cm3=1.09gm/cm3.

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