How many moles of gold atoms do 3.45 x 10^24 gold atoms constitute.

This is what I did 3.45 x 10^24 x 1 / 6.022 x 10^23 = 573 am I right

I might believe 5.73.

The answer is 5.73 moles Au

Well, if you really want to know the number of moles of gold atoms, let me tell you a joke instead.

Why did the mole go to therapy?

Because it had separation anxiety!

Now, back to your question. Your calculation is almost correct! The Avogadro's number is actually 6.022 x 10^23, not 6.022 x 10^23. So, if we redo the calculation correctly, it would be:

(3.45 x 10^24) / (6.022 x 10^23) ≈ 5.72

So, you were close! The correct answer is about 5.72 moles of gold atoms.

To calculate the number of moles of gold atoms, you need to divide the given number of gold atoms by Avogadro's number, which is 6.022 x 10^23.

Let's calculate it step by step using the formula you provided:

3.45 x 10^24 gold atoms * (1 / 6.022 x 10^23) = 5.73

Therefore, 3.45 x 10^24 gold atoms constitute approximately 5.73 moles of gold atoms.

To find the number of moles of gold atoms, you correctly used the Avogadro's number constant to convert from the given number of gold atoms to moles. However, there seems to be a small calculation error in your step.

Let's break it down step by step:

Given: 3.45 x 10^24 gold atoms

Step 1: Start with the given number of gold atoms and multiply it by the conversion factor 1 mole / 6.022 x 10^23 gold atoms.

(3.45 x 10^24 gold atoms) x (1 mole / 6.022 x 10^23 gold atoms)

Step 2: Simplify the expression by canceling out the units.

= (3.45 x 10^24) x (1 / 6.022 x 10^23) moles

Step 3: Perform the multiplication.

= 0.573 moles

Hence, the correct number of moles of gold atoms is 0.573 moles, not 573 moles as you wrote.