You would like to know whether silicon will float in mercury and you know that can determine this based on their densities. unfortunately, you have the density of mercury in units of kg. m^3 and the density of silicon in other units of 2.33 g. cm^3. you decide to convert the density of silicon into units of kg. m^3 to perform the comparison. by which combination of conversion factors will you multiply 2.33 g. cm^3 to perform the unit conversion?

The conversion factor used here will be 1000 (kg/m^3)/(g/cm^3).

Which is a combination of two conversion factors:

1 kg = 1000 g

1 x 10^6 cm^3 = 1 m^3

Explanation:

We will use unitary method to convert g/cm^3 into kg/m^3. This is shown below:

Since, 1 kilogram is equivalent to 1000 gram and 1 meter is equivalent to 100 centimeter. Therefore:

1 g/cm^3 = (1 g/ cm^3)(1 kg/ 1000 g)(100 cm / 1 m)^3

1 g/cm^3 = 1000 kg/m^3

Hence, the conversion factor that will be multiplied is found to be 1000.

Using this in our case, we get:

Density of silicon = (2.33)(1000) kg/m^3

Density of Silicon = 2330 kg/m^3