Does this answer look correct?
How many gold atoms are in a 1 kg gold bar? The chemical symbol of gold is Au. Consult
The Periodic Table in Figure 11.9 on p. 216 in the textbook. Hint: Remember 1u=1.66x10-27kg. 1 mole= 6.022x1023, which is Avogadro’s number.
Kg=1000g
Atomic weight of gold is 196.97 g/mol
No. of moles in 1000 g of gold is 1000/196.97= 5.08 mol
No. of gold atoms is 5
you said that
No. of moles in 1000 g of gold is 1000/196.97= 5.08 mol
so far, so good. But you need to think why they gave you Avogadro's Number. There are that many atoms of gold in 1 mole.
So, care to change your answer? Do you really think that 5 atoms of gold weighs 1 kg? Do a sanity check!
No, the answer provided is not correct. Let's go through the correct steps to find the number of gold atoms in a 1 kg gold bar.
First, convert the mass of the gold bar from kilograms to grams:
1 kg = 1000 grams
Next, find the molar mass of gold. The molar mass of gold (Au) is given as 196.97 g/mol.
Now, calculate the number of moles of gold in the 1000 grams (1 kg) of gold:
Number of moles = Mass of gold / Molar mass of gold
Number of moles = 1000 grams / 196.97 g/mol
To find the number of atoms, we need to use Avogadro's number, which is given as 6.022 x 10^23.
Finally, multiply the number of moles by Avogadro's number to find the number of atoms of gold:
Number of gold atoms = Number of moles x Avogadro's number
By following these steps correctly, you should be able to find the correct number of gold atoms in a 1 kg gold bar.
Based on the information you provided, the answer does not look correct. Let's go through the steps to calculate the correct number of gold atoms in a 1 kg gold bar.
1. Determine the number of moles of gold in 1 kg:
1 kg = 1000 g
Atomic weight of gold (Au) = 196.97 g/mol
Number of moles of gold = mass of gold (in grams) / atomic weight of gold
Number of moles of gold = 1000 g / 196.97 g/mol = 5.08 mol
2. Use Avogadro's number to calculate the number of gold atoms:
Avogadro's number (NA) = 6.022 x 10^23
Number of gold atoms = number of moles of gold x Avogadro's number
Number of gold atoms = 5.08 mol x 6.022 x 10^23 atoms/mol
= 3.06 x 10^24 atoms
Therefore, there are approximately 3.06 x 10^24 gold atoms in a 1 kg gold bar.