Will a precipitate form when an aqueous solution of (NH4)4CO3 is mixed with Fe(NO3)3

Probably so but it probably will not be Fe2(CO3)3. Most likely the ppt will be Fe(OH)3. However, one must remember that high concns of NH4^+ [you're adding (NH4)2CO3] reduces the OH^- in solution and hydroxide ppts sometimes don't appear.

To determine if a precipitate will form when an aqueous solution of (NH4)4CO3 is mixed with Fe(NO3)3, we need to consider the solubility of the resulting products.

1. Write the balanced chemical equation for the reaction:
(NH4)4CO3 + Fe(NO3)3 → (NH4)2CO3 + Fe(NO3)2

2. Determine the solubility of the products:
- (NH4)2CO3: Ammonium carbonate is generally soluble in water.
- Fe(NO3)2: Iron(II) nitrate is also generally soluble in water.

Both products are soluble in water, which suggests that no precipitate will form. However, it is essential to remember that this is a general guideline, and certain exceptions may exist.

To verify this, you could consult a solubility table or search for the solubility of (NH4)2CO3 and Fe(NO3)2. Such tables will usually indicate whether these compounds are soluble or insoluble. If any of the products are classified as insoluble, a precipitate will form.