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

One mole is equal to
`6.02* 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 * 10^(23)`

`6.02* 10^(23)` atoms make 1 mole

1 atom makes
`(1)/(6.02 * 10^(23))` mole

Therefore,

`8.0* 10^(23)` atoms will make

`(8 * 10^(23))/(6.02* 10^(23)) =1.328` moles.

Therefore,
`8 * 10^(23)` atoms make 1.328 moles.

Answer 2

Solution:-
`\text{Given that one mole consist}\ N_(o)=6.022*10^(23)atoms\\\text{[which is Avagadro Number]}\\\text{and given number of atoms=N}\ =8*10^(23)atoms\\\text{Moles in N}=(N)/(\ N_(o))=(8*10^(23)atoms)/(6.022*10^(23)atoms)\\\text{so we cancel}\ 10^(23)\text{atoms from both the numerator and denominater}\\=(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*10^(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*10^(23)atoms`