Question

What mass of zinc contains the same number of atoms as 500.0 g of gold?

Answer 1

To find the mass of zinc that contains the same number of atoms as 500.0 g of gold, divide the mass of gold by its molar mass and multiply by the molar mass of zinc. The answer is 166.93 g of zinc.

Step-by-step explanation:

To determine the mass of zinc that contains the same number of atoms as 500.0 g of gold, we need to compare the molar masses of zinc and gold. The molar mass of zinc is 65.38 g/mol, and the molar mass of gold is 196.97 g/mol. Since 1 mole of any element contains 6.022 × 10²³ atoms, we can set up a conversion factor to find the mass of zinc:

(500.0 g gold) / (196.97 g/mol gold) = (x g zinc) / (65.38 g/mol zinc)

Simplifying the equation, we can cross-multiply and solve for x:

x = (500.0 g gold) × (65.38 g/mol zinc) / (196.97 g/mol gold) = 166.93 g zinc.

Answer 2

166 g of Zinc

Step-by-step explanation:

First calculate moles of Gold.

Moles = Mass / M.Mass

Moles = 500 g / 196.96 g/mol

Moles = 2.54 mol

Secondly, calculate mass of Zinc using moles of Gold.

Mass = Moles × M.Mass

Mass = 2.54 mol × 65.36 g/mol

Mass = 166 g of Zinc