How many atoms are in 1.500 kilograms of gold?

Answer 1

The mass of 1 mole of an element is its atomic weight in grams.

1 mole of an element is 6.022 x 1023 atoms of that element.

Known/Given:

1 mol Au = 196.96655g Au (atomic weight in grams)

1 mol Au = 6.022 x 1023 atoms Au (Avagadro's number)

1000g = 1 kg

Convert kilograms to grams.

1.500kg Au x (1000g/1kg) = 1500g Au

Convert grams to moles.

1500gAu x (1mol Au/196.96655g Au) = 7.616mol Au

Convert moles to atoms.

7.616mol Au x (6.022 x 1023 atoms Au) = 4.586 x 1024 atoms Au

Answer 2

To calculate the number of atoms in 1.500 kilograms of gold, you first need to determine the number of moles of gold using its molar mass (197 grams/mol). Then, you can use Avogadro's number (6.022 x 10^23 atoms/mol) to find the number of atoms in the given mass of gold.