Question

Please help due today

Answer 1

The density of iron is, approximately, 7.92g/cm³.

Step-by-step explanation:

1. Refer to the formula of density.

So density is the relation between the mass and volume of an object or material. The formula of density is the following:

`d=(m)/(v)`; where "m" is the mass of the object or material (usually expressed in grams or kilograms), and "v" is the volume of that same mass of the object or material we're analyzing (this is usually expressed in
`cm^(3)` or
`m^(3)`).

2. Find the variables.

So, as you can tell, all we need to know in order to find a value of density is the mass and volume of the object/material.

a) Finding the mass:

This is given by the problem's statement, it is 28.5 g.

b) Fiding the volume:

To find the volume, consider the simple concept that if you completely submerge any object in water, the volume of water will increase in a magnitude equal to the volume of the submerged object. Therefore, the increase of water volume indicates the volume of our iron shot.

This volume should be given by the difference in volume of water before submerging the object, and after:

`V=49.10mL-45.50mL\\ \\V=3.6mL`

3. Convert to the usually used units.

So we already have the mass in grams (g), let's just convert the volume to a commonly used unit alongside grams which is
`cm^(3)`.

1
`1mL=1cm^(3)`. Thus,
`3.6mL=3.6cm^(3)`.

4. Calculate density.

`d=(28.5g)/(3.6cm^(3) )\\ \\d=(7.92g)/(cm^(3) )`

5. Conclude.

The density of iron is, approximately, 7.92g/cm³.

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Fun fact about density.

Any object of material denser than a fluid they are submerged in will always sink. For example, materials and objects with less density than water (1000 kg/m³), will always float when we try to submerge them into this liquid and they will sink if their density if greater than that of water... and it applies for all fluids (liquids and gases)! This is why both balloons filled up with air and oil stay floating on water!