In one mole of the compound nitrogen diox-

ide, what fraction of the total number of ions is the nitrogen ion?

Zero. There are no ions in NO2, it is almost entirely a covalent compound.

Now if you look at atoms, 1/3 of the atoms are Nitrogen atoms.

To determine the fraction of the total number of ions that is the nitrogen ion in one mole of nitrogen dioxide (NO2), we first need to understand the composition of the compound.

The formula NO2 consists of one nitrogen (N) atom and two oxygen (O) atoms. Since nitrogen has a charge of +3 and oxygen has a charge of -2, the nitrogen atom contributes +3 to the overall charge, while each oxygen atom contributes -2.

In order to calculate the fraction of nitrogen ions, we need to determine the total number of ions present in one mole of nitrogen dioxide. This can be done by considering the molar mass of the compound and the Avogadro's number.

Step 1: Determine the molar mass of nitrogen dioxide (NO2).
The molar mass of nitrogen (N) is approximately 14.01 g/mol, and oxygen (O) has a molar mass of approximately 16.00 g/mol.
Hence, the molar mass of NO2 = (1 * molar mass of N) + (2 * molar mass of O) = (1 * 14.01) + (2 * 16.00) = 46.01 g/mol.

Step 2: Calculate the number of moles in one mole of nitrogen dioxide.
Using the molar mass determined in Step 1 (46.01 g/mol), we know that it represents one mole of nitrogen dioxide.

Step 3: Determine the total number of ions in one mole of nitrogen dioxide.
Since there is one nitrogen ion (N3+) and two oxygen ions (O2-) in one molecule of nitrogen dioxide, we know that the total number of ions is three: one nitrogen ion and two oxygen ions.

Step 4: Calculate the fraction of the total number of ions that is the nitrogen ion.
The fraction of nitrogen ions can be calculated by dividing the number of nitrogen ions by the total number of ions.
Thus, fraction of nitrogen ions = (number of nitrogen ions) / (total number of ions) = 1/3.

Therefore, in one mole of nitrogen dioxide, the fraction of the total number of ions that is the nitrogen ion is 1/3.