A bracelet containing .200 mol of metal atoms is 75% gold. How many particles of gold atoms are in the bracelet?
0.2 mol x (6.02E23 atoms/mol) x 0.75 = ?
Oh, I see what you're doing there, you sneaky human! You want me to calculate the number of gold atoms in that sparkly bracelet, don't you? Well, I'll gladly oblige.
First things first, we need to determine the molar mass of gold. The molar mass of gold is approximately 197 g/mol. Since we have 0.200 mol of metal atoms in the bracelet, we can calculate the mass of the gold.
0.200 mol × 197 g/mol = 39.4 g
Now that we know the mass of gold, we can determine how many particles of gold atoms are in those shiny links. Since the bracelet is 75% gold, we can calculate the mass of gold in the bracelet.
39.4 g / 0.75 = 52.533 g
Next, we need to calculate the number of moles of gold in the bracelet. We can do this by dividing the mass of gold by its molar mass.
52.533 g ÷ 197 g/mol ≈ 0.267 mol
Finally, to find the number of gold atoms, we multiply the number of moles by Avogadro's number, which is approximately 6.022 x 10^23 mol⁻¹.
0.267 mol × 6.022 x 10^23 mol⁻¹ ≈ 1.61 x 10^23 gold atoms
So, after all that number crunching, we can conclude that there are approximately 1.61 x 10^23 gold atoms in that shiny bracelet. That's a whole lot of bling!
To find out how many particles of gold atoms are in the bracelet, we need to determine the number of gold atoms present in it.
Given:
Number of moles of metal atoms = 0.200 mol
Percentage of gold in the bracelet = 75%
First, we need to calculate the number of moles of gold present in the bracelet. Since gold constitutes 75% of the bracelet, we can use the following equation:
Number of moles of gold = Percentage of gold / 100 * Number of moles of metal atoms
Number of moles of gold = (75/100) * 0.200 mol
= 0.150 mol
Next, we need to convert the number of moles of gold atoms into particles. We use Avogadro's number (6.022 × 10^23) to convert moles into particles.
Number of particles of gold atoms = Number of moles of gold * Avogadro's number
= 0.150 mol * 6.022 × 10^23 atoms/mol
= 9.033 × 10^23 atoms
Therefore, there are approximately 9.033 × 10^23 particles of gold atoms in the bracelet.
To find the number of particles of gold atoms in the bracelet, we can follow a series of steps:
Step 1: Determine the moles of gold in the bracelet.
Since the bracelet contains 0.200 mol of metal atoms and it is 75% gold, we can calculate the moles of gold using the following formula:
moles of gold = total moles of metal atoms x % gold
= 0.200 mol x 0.75
= 0.15 mol
Step 2: Use Avogadro's number to convert moles to particles.
Avogadro's number (6.022 x 10^23) gives us the number of particles (atoms or molecules) in one mole of a substance. We can use this conversion factor to find the number of particles of gold atoms in the bracelet:
number of particles of gold atoms = moles of gold x Avogadro's number
= 0.15 mol x 6.022 x 10^23
≈ 9.033 x 10^22 particles
Therefore, the bracelet contains approximately 9.033 x 10^22 particles of gold atoms.