the formula of the precipitate formed when li₂co₃ and fe(no₃)₃ are mixed is\nselect one:\n a. lino₃\n b…

Explanation:

Step1: Write the double - displacement reaction

When (Li_2CO_3) and (Fe(NO_3)_3) react, the cations ((Li^+) and (Fe^{3 +})) exchange anions ((CO_3^{2-}) and (NO_3^-)). The general form of a double - displacement reaction is (AB+CD\rightarrow AD + CB). Here, (A = Li^+), (B=CO_3^{2 -}), (C = Fe^{3+}), (D = NO_3^-). So the reaction is (3Li_2CO_3+2Fe(NO_3)_3\rightarrow 6LiNO_3+Fe_2(CO_3)_3\downarrow).

Step2: Check solubility rules

Nitrates ((NO_3^-)) are generally soluble. So (LiNO_3) is soluble. Carbonates ((CO_3^{2-})) of most metals (except group - 1 metals like (Li^+), (Na^+) etc.) are insoluble. (Fe^{3+}) is not a group - 1 metal. The charge on (Fe^{3+}) is (+ 3) and on (CO_3^{2-}) is (-2). Using the criss - cross method (to balance the charges), for (Fe^{3+}) and (CO_3^{2-}), the formula of the compound formed is (Fe_2(CO_3)_3) (since (3\times2 = 2\times3) to balance the charges: ((+3)\times2+( - 2)\times3=0)).

Answer:

B. (Fe_2(CO_3)_3)