Question

If one mole is equal to 6.02*10^23 atoms and you have 8*10^23 then how many moles do you have?

Answer 1

Solution:-$\text{Given that one mole consist}\ N_{o}=6.022\times10^{23}atoms\\\text{[which is Avagadro Number]}\\\text{and given number of atoms=N}\ =8\times10^{23}atoms\\\text{Moles in N}=\frac{N}{\ N_{o}}=\frac{8\times10^{23}atoms}{6.022\times10^{23}atoms}\\\text{so we cancel}\ 10^{23}\text{atoms from both the numerator and denominater}\\=\frac{8}{6.022}\\\text{Now by solving it ,we get}\\m=1.3284$

Here, Avogadro's number is the number of units in one mole of any substance (defined as its molecular weight in grams), equal to $N_{o}=6.022\times10^{23}atoms$

One mole is the number of atoms in naturally-occurring isotope of the element carbon. This number is equal to approximately $N_{o}=6.022\times10^{23}atoms$

Answer 2

One mole is equal to $6.02\times 10^{23}$ atoms.

We will use unitary method that says unitary method is a process used to solve a situation by finding the value of a single unit, (by dividing) and then finding the necessary value by multiplying the single unit value.

Now we need to know how many moles are there in $8 \times 10^{23}$

$6.02\times 10^{23}$ atoms make 1 mole

1 atom makes $\frac{1}{6.02 \times 10^{23}}$ mole

Therefore,

$8.0\times 10^{23}$ atoms will make

$\frac{8 \times 10^{23}}{6.02\times 10^{23}} =1.328$ moles.

Therefore, $8 \times 10^{23}$ atoms make 1.328 moles.