High School

You have 5.50 mol of pure gold. The atomic mass of gold is 197 g/mol, and its density is 19,300 kg/m³.

What is the mass of the gold?

A) 83.3 kg
B) 97.4 kg
C) 112.7 kg
D) 128.1 kg

Answer :

Final answer:

By multiplying the molar mass of gold by the number of moles, 5.50 mol imes 197 g/mol, we obtain the mass of 1083.5 g, which we convert to 1.0835 kg of gold.

The correct option is none of these.

Explanation:

To solve for the mass of 5.50 mol of pure gold, we use the formula:

Molar mass of gold (Au) = 197.0 g/mol

Mass = Molar mass imes Number of moles

Mass = 197.0 g/mol imes 5.50 mol

Mass = 1083.5 grams

To convert the mass from grams to kilograms, we divide by 1000:

Mass in kilograms = 1083.5 g imes (1 kg / 1000 g)

Mass in kilograms = 1.0835 kg

To find the mass in kilograms, we multiply the given number of moles by the atomic mass: 5.50 mol imes 197 g/mol (since 1 mol of gold has a mass of 197 g).

The answer is 1083.5 g, which we then convert into kilograms, giving us 1.0835 kg of gold.

The correct option is none of these.