Question

Talc is a mineral that has low conductivity for heat and electricity and that is not attacked by acid. It is used as talcum powder and face powder. A sample of talc weighs 35.97 g in air and 13.65 g in mineral oil (d = 1.75 g/cm3). What is the density of talc?

1) 4.61 g/cm3
2) 2.82 g/cm3
3) 2.63 g/cm3
4) 2.44 g/cm3
5) 1.61 g/cm3

Answer 1

The density of talc can be calculated using the mass and volume measurements in air and mineral oil. By subtracting the volume in mineral oil from the volume in air, and dividing the difference in mass by the difference in volume, the density of talc can be determined. In this case, the calculated density of talc is approximately 2.82 g/cm³.

Step-by-step explanation:

The density of a substance is the ratio of the mass of a sample of the substance to its volume. In this case, we have a sample of talc that weighs 35.97 g in air and 13.65 g in mineral oil (d = 1.75 g/cm3). To find the density of talc, we can use the formula:

Density = mass / volume. First, we need to find the volume of the talc sample in air and in mineral oil. The volume in air can be calculated using the density of air (approximately 1.2 g/L) and the mass in air:

Volume in air = mass in air / density of air. Now, we can find the volume in mineral oil by using the mass in mineral oil and the density of mineral oil:

Volume in mineral oil = mass in mineral oil / density of mineral oil. Finally, we can calculate the density of talc by dividing the mass by the difference in volume between air and mineral oil:

Density of talc = (mass in air - mass in mineral oil) / (volume in air - volume in mineral oil).

Using the given values, the calculated density of talc is approximately 2.82 g/cm³.