a 2.00 kg steel gas can holds 20.0 l of gasoline when full. what is the average density (in kg/m3) of the full gas can, taking into account the volume occupied by steel as well as by gasoline?

Respuesta :

The average density of the full gas can can be calculated by dividing the total mass of the can (2.00 kg) by the total volume (20.0 l).

What is density?

Density is a measure of the mass of a substance per unit volume. It is an intensive property, which means it is independent of the amount of the substance present.

This gives an average density of 0.100 kg/m3, taking into account both the volume occupied by the steel and the gasoline.

To further break this down, the steel can itself has a density of 7.85 kg/m3 and the gasoline has a density of 690 kg/m3. Therefore, the proportion of the can's volume occupied by the steel is 0.00785 m3 and the proportion of the can's volume occupied by the gasoline is 0.19915 m3. When these proportions are multiplied by their respective densities, it gives the total mass of the steel (0.01553 kg) and the total mass of the gasoline (1.98447 kg). When added together, these two components give the total mass of the full gas can (2.00 kg).

Therefore, the average density of the full gas can (2.00 kg/20.0 l) is 0.100 kg/m3, taking into account both the volume occupied by the steel and the gasoline.

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