Final answer:
The 17.6 g sample of ammonium carbonate contains 0.366 moles of ammonium ions.
Step-by-step explanation:
The molar mass of ammonium carbonate (NH4)2CO3 is 96.085 g/mol. To calculate the number of moles of ammonium ions in a 17.6 g sample, divide the mass of the sample by the molar mass:
Number of moles = Mass of sample / Molar mass
Number of moles = 17.6 g / 96.085 g/mol = 0.183 mol
Since one formula unit of ammonium carbonate contains two ammonium ions (NH4+), the 17.6 g sample contains 2 * 0.183 mol = 0.366 mol of ammonium ions.
Therefore, the answer is 0.366 moles of ammonium ions.