Question

You have 28.5 g of iron shot that has a volume of 3.60 mL. From this information, calculate the density of iron.

Answer 1

`\boxed {\boxed {\sf \rho \approx 7.917 \ g/mL}}`

Step-by-step explanation

Density can be found by dividing the mass by the volume.

`\rho=(m)/(v)`

We know the iron sheet has a mass of 28.5 grams and the volume is 3.60 milliliters.

`m= 28.5 \ g \\d= 3.60 \ mL`

Substitute the values into the formula.

`\rho=(28.5 \ g)/( 3.60 \ mL)`

Divide.

`\rho = 7.91666667 \ g/mL`

Let's round to the nearest thousandth.

The 6 in the ten-thousandth tells us to round the 6 to a 7.

`\rho \approx 7.917 \ g/mL`

The density of iron is about 7.917 grams per milliliter.