Gasoline and kerosene (specific gravity 0.820) are blended to obtain a mixture with a specific gravity of 0.770. calculate the volumetric ratio (volume of gasoline/volume of kerosene) of the two compounds in the mixture, assuming vblend = vgasoline + vkerosene.

The volumetric ratio is 0,71

Explanation:

Let's begin with the equation:

(1)

Where:

Db: Blend Density, Mb: Blend Mass and Vb: Blend Volume

And we know: (2)

Where:

Vg: Gasoline Volume and Vk: Kerosene Volume

Therefore replacing (2) into (1):

(3)

Where:

Dg: Gasoline Density and Dk: Kerosene Density

The specific gravity is defined as:

Therefore:

Where:

Dref: Reference Density

SGb: Blend Specific Gravity

SGg: Gasoline Specific Gravity (which is 0.7 approximately)

SGk: Kerosene Specific Gravity

Replacing these equations into (3) we get:

Replacing with the Specific Gravity data, we obtain: