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The density of lead is 11.3g/cm^3 and the density of chromium is 7.14g/cm^3. If we have one gram of each metal, what is the ratio of the volume of lead to the chromium?

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Eduard22sly

The ratio of the volume of lead to the volume of chromium is 22 : 35

Density is simply defined as the mass of a substance per unit volume of the substance.

Density = mass / volume

To solve the question given above, we'll begin by calculating the volume of lead and chromium. This can be obtained as follow:

For Lead:

Mass of lead = 1 g

Density of lead = 11.3 g/cm³

Volume of lead =?

Density = mass /volume

11.3 = 1 / Volume

Cross multiply

11.3 × Volume = 1

Divide both side by 11.3

Volume = 1 / 11.3

Volume of lead = 0.088 cm³

For Chromium:

Mass of chromium = 1 g

Density of chromium = 7.14 g/cm³

Volume of chromium =?

Density = mass /volume

7.14 = 1 / Volume

Cross multiply

7.14 × Volume = 1

Divide both side by 7.14

Volume = 1 / 7.14

Volume of chromium = 0.14 cm³

Finally, we shall determine the ratio of the volume of lead to the volume chromium. This can be obtained as follow:

Volume of lead = 0.088 cm³

Volume of chromium = 0.14 cm³

Ratio of the volume of lead to chromium =?

Ratio = Volume of lead / Volume of chromium

Ratio = 0.088 / 0.14

Ratio = 22 / 35

Ratio = 22 : 35

Therefore, the ratio of the volume of lead to the volume chromium is 22 : 35

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