determine the mass of a 1.75 cm piece of Mg if 30 am =.42 g?

To determine the mass of a 1.75 cm piece of Mg, we need to know the density of magnesium and use the formula:

mass = volume × density

However, as we are given the density in am/g (atomic mass units per gram), we also need to convert the given length (1.75 cm) to volume in order to calculate the mass.

The atomic mass units per gram (am/g) ratio provided is 30 am = 0.42 g. We can use this ratio to convert the given length to volume.

First, let's convert the length from centimeters (cm) to grams (g) using the following conversion factor:

1 cm³ = 1 gram

Therefore, the volume of the 1.75 cm piece of Mg is 1.75 cm³.

Now, let's calculate the mass using the formula:

mass = volume × density

mass = 1.75 cm³ × 0.42 g/cm³

mass = 0.735 g

Therefore, the mass of the 1.75 cm piece of Mg is 0.735 grams.