Answer to Question #169697 in General Chemistry for chloe

Question

A lightweight head on a golf club is made of titanium. The volume of a sample of titanium is 116 cm³ and the mass is 523.1 g. What is the density?

Answer 1

Q169697

A lightweight head on a golf club is made of titanium. The volume of a sample of titanium is 116 cm³ and the mass is 523.1 g. What is the density?

Solution:

We are given the volume and mass of the given sample of titanium.

The density is independent of the size of the material. It depends on the nature of the material.

The head of a golf club is made up of titanium. It will have the same density as that of any sample of titanium.

mass of titanium sample = 523.1 grams.

volume of titanium sample = 116 cm³ .

$density = \frac{mass}{volume }$

plug the given mass and volume in this formula, we have

$density\space of\space titanium\space sample = \frac{523.1\space g }{116\space cm^3 } = 4.5095 g/cm^3 .$

In the question, the volume is the one which is given in the least number of significant figures. It is in 3 significant figures.

So our final answer must also be in 3 significant figures.

So the density of the sample of titanium is 4.51 g/cm³.