Will precipitation occur when the following solutions are mixed? If so, write a balanced chemical equation for the reaction. (a) \(\mathrm{Na}_{2} \mathrm{CO}_{3}\) and \(\mathrm{AgNO}_{3},\) (b) \(\mathrm{NaNO}_{3,}\) and \(\mathrm{NiSO}_{4,}\) (c) \(\mathrm{FeSO}_{4}\) and \(\mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}.\)

Step 1: Write the possible products' chemical formulas By mixing \(\mathrm{Na}_{2}\mathrm{CO}_{3}\) and \(\mathrm{AgNO}_{3}\) solutions, we can have the following possible products: Ag2CO3 and NaNO3 Step 2: Determine their solubility according to solubility rules Ag2CO3: Silver carbonate is generally insoluble in water. NaNO3: Sodium nitrate is soluble in water (nitrates are generally soluble). Step 3: Write the balanced chemical equation for the reaction Since Ag2CO3 is insoluble, precipitation occurs when Na2CO3 and AgNO3 solutions are mixed. The balanced chemical equation is: \( 2\mathrm{AgNO}_{3}(aq) + \mathrm{Na}_{2}\mathrm{CO}_{3}(aq) \rightarrow \mathrm{Ag}_{2}\mathrm{CO}_{3}(s) + 2\mathrm{NaNO}_{3}(aq) \)

Step 1: Write the possible products' chemical formulas By mixing \(\mathrm{NaNO}_{3}\) and \(\mathrm{NiSO}_{4}\) solutions, we can have the following possible products: Na2SO4 and Ni(NO3)2 Step 2: Determine their solubility according to solubility rules Na2SO4: Sodium sulfate is soluble in water (most sulfates are soluble, and alkali metal compounds are soluble). Ni(NO3)2: Nickel nitrate is soluble in water (nitrates are generally soluble) Step 3: Write the balanced chemical equation for the reaction As both the possible products formed are soluble, there will be no precipitation when NaNO3 and NiSO4 solutions are mixed.

Step 1: Write the possible products' chemical formulas By mixing \(\mathrm{FeSO}_{4}\) and \(\mathrm{Pb(NO}_{3})_{2}\) solutions, we can have the following possible products: PbSO4 and Fe(NO3)2 Step 2: Determine their solubility according to solubility rules PbSO4: Lead sulfate is generally insoluble in water. Fe(NO3)2: Iron(II) nitrate is soluble in water (nitrates are generally soluble). Step 3: Write the balanced chemical equation for the reaction Since PbSO4 is insoluble, precipitation occurs when FeSO4 and Pb(NO3)2 solutions are mixed. The balanced chemical equation is: \( \mathrm{FeSO}_{4}(aq) + \mathrm{Pb(NO}_{3})_{2}(aq) \rightarrow \mathrm{PbSO}_{4}(s) + \mathrm{Fe(NO}_{3})_{2}(aq) \)