Density of mixtures

Suppose two substances are mixed as follows:

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Example: 1

100cm3 of fresh water of mass100g is mixed with 100 cm3 of sea water of mass103g.

Calculate the density of the mixture.

Solution

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Example 2:

Liquid Y of volume 0.40m3 and density 90.0kgm-3 is mixed with liquid X of volume0.35m3 and density 800kgm-3. Calculate the density of the mixture.

Solution

mass of Y=Volume of Y x Density of Y

mass of Y=0.40×90.0

mass of Y=360kg

mass of X=Volume of X×Density of X

mass of Y=0.35×800

mass of Y=280kg
.Then:

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Exercise:

An alloy is formed by adding 500g of element P of density 5gcm-3 to 400cm3 of element Q of density 4gcm-3. Calculate the density of the alloy.[ 4.2gcm-3]

500cm3 of liquid X of density 2gcm-3 is combined with 200 g of liquid Y of density 4gcm-3. Calculate the density of the mixture.

Liquid M of density 0.5gcm-3 is mixed with liquid N in equal volumes. If the mixture has a density of 0.8gcm-3 , Find the density of liquid N.3cm-3of water was mixed with 5cm-3 of milk of density 1500kgm-3. Find the density of the mixture. [1312.5kgm-3]

Liquid A of volume 400cm3 and density 800kgm-3 is mixed with liquid B of volume 600cm3 and density 1120kgm-3. Calculate the density of the mixture.