Question

How many moles are in 4.2x10^24 molecules of dinitrogen pentoxide ?

Answer 1

6.07 mol

Step-by-step explanation:

We know that 1 mole of every substance contains a number of molecules equal to Avogadro Number, which is:

`N_A=6.022\cdot 10^(23)`

In this problem, we have
`n` moles of dinitrogen pentoxide, and these n moles contain a number of molecules equal to

`N=4.2\cdot 10^(24)`

This means that we can find the number of molecules in this substance by using the following rule of three:

`(1 mol)/(N_A)=(n)/(N)`

where n is the number of moles that we want to find. Solving for n, we find:

`n=(N)/(N_A)\cdot 1 mol = (4.2\cdot 10^(24))/(6.022\cdot 10^(23))\cdot 1 mol =6.97 mol`

So, the answer is 6.97 moles.