1. Identify the elements and their atomic weights:

* Nitrogen (N): Atomic weight = 14.01 g/mol

* Oxygen (O): Atomic weight = 16.00 g/mol

2. Determine the number of atoms of each element in the molecule:

* Nitrous oxide (N₂O) has two nitrogen atoms (N₂) and one oxygen atom (O).

3. Calculate the molecular weight:

* Multiply the atomic weight of each element by the number of atoms of that element in the molecule, then add the results.

* (2 * 14.01 g/mol) + (1 * 16.00 g/mol) = 44.02 g/mol

Therefore, the molecular weight of nitrous oxide (N₂O) is 44.02 g/mol.