Question

If you have 5.3x10^26 molecules of water how many moles of water do you have?

Answer 1

The question requires us to calculate the amount of moles of water that we would have in 5.3x10^26 molecules of water.

To solve this problem, we'll need to consider the Avogadro Number: this number states the amount of particles (electrons, ions, atoms, molecules etc.) in one mole of a substance. The Avogadro Number corresponds to 6.022 x 10^23 particles per mol.

Considering the Avogadro number and the number of molecules provided by the question, we can write:

6.022 x 10^23 molecules of water -------------------- 1 mol of water

5.3 x 10^26 molecules of water ------------------------ x

Solving for x, we'll have:

`x=\frac{(5.3*10^(26)molecules\text{ of water)}*(1\text{ mol of water)}}{(6.022*10^(23)\text{molecules of water)}}=8.8*10^2mol\text{ of water}`

Therefore, there are 8.8 x 10^2 moles of water in 5.3 x 10^26 molecules of water.