Question

I have 2.50 x 10²³ atoms of titanium. How many moles of titanium do I have?

Answer 1

Answer: 2.50 x 10^23 atoms of titanium correspond to 0.415 moles of titanium.

Step-by-step explanation:

The question requires us to calculate the number of moles of titanium (Ti) that correponds to 2.50 x 10^23 atoms of Ti.

We can apply the Avogadro's number to solve this problem: according to this proportionality constant, there are 6.022 x 10^23 particles in 1 mol of any compound (particles can be atoms, ions, molecules etc).

Thus, considering the Avogadro's number, we can write:

6.022 x 10^23 atoms Ti -------------------- 1 mol Ti

2.50 x 10^23 atoms Ti ---------------------- x

Solving for x, we'll have:

`x=\frac{(1\text{ mol Ti\rparen}*(2.50*10^(23)\text{ atoms Ti\rparen}}{(6.022*10^(23)\text{ atoms Ti\rparen}}=0.415\text{ mol Ti}`

Therefore, 2.50 x 10^23 atoms of titanium correspond to 0.415 moles of titanium.