Liquid A has a mass density of 850.0 kg/m3 and Liquid B has a mass density of 1060.0 kg/m3. Seventy-five grams of each liquid is mixed uniformly. What is the specific gravity of the mixture

The specific gravity of the mixture of the liquid A and liquid B is 0.8.

The given parameters;

The volume of each liquid is calculated as follows;

The specific gravity of the mixture is calculated as;

Thus, the specific gravity of the mixture of the liquid A and liquid B is 0.8.

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The specific gravity of the mixture is 0.943.

Explanation:

The density of the mixture (), measured in kilograms per cubic meters, is defined by the following equation:

(Eq. 1)

Where:

, - Masses of liquids A and B, measured in kilograms.

, - Volumes of liquids A and B, measured in cubic meters.

By applying the definition of density, we expand the density of the mixture as follows:

(Eq. 2)

If we know that , and , then the density of the mixture:

And the specific gravity is the ratio of the density of the mixture to the density of water, that is:

(Eq. 3)

If we get that and , then the specific gravity of the mixture is:

The specific gravity of the mixture is 0.943.

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