Question

Problem 1 Unit Conversion The density of gold is approximately p= 19.32 g/cm³: what is the density of gold in kg/m³? (5 points)

Answer 1

19320 kg/m³

Explanation:

Pre-Solving

We are given that the density of gold is 19.32 g/cm³, and we want to convert that density to kg/m³.

We can solve this in a manner similar to dimensional analysis, which is common in chemistry. When we do dimensional analysis, we use conversion factors with labels that we cancel out in order to get to the labels that we want.

Solving

Recall that 1 kg is 1000 g, and 1 m³ is cm. These will be our conversion factors.

So, we can do the following:

`(19.32g)/(1 cm^3) * (1000000 cm^3)/(1 m^3) * (1kg)/(1000g)` = 19320 kg/m³

So, the density of gold is 19320 kg/m³.