If I was trying to find out the number of molecules(N) using moles x avogadro's number, what units would N have?

N has units of whatever moles had...

Moles of molecules
Moles of atoms
Moles of donuts
Moles of chemistry students.

Okay, i thought so...I was confused since I'm using N with the units in a formula but I can't seem to find a way to cancel it out. Maybe you would know how?

Formula: Z= Zwall x Area

4.18x10^14 mol s^-1 / 6.04x10^23 m^-2 s^-1
= Area
8.4x10^-6 m mol = r

How would I eliminate the mol unit?

To find the number of molecules (N) using moles (n) and Avogadro's number (N𝗔), you would use the formula N = n × N𝗔.

The units for moles (n) are typically expressed as "mol" or "moles," while Avogadro's number (N𝗔) has a value of approximately 6.022 × 10²³ and is expressed as "mol⁻¹" (moles per mole).

When you multiply the number of moles (n) by Avogadro's number (N𝗔), the units for moles cancel out, leaving you with just the units of molecules (N). Therefore, the units for N would be "molecules."