4.08 g of a mixture of BaO and an unknown carbonate MCO₃ was heated strongly. The residue weighed 3.64 g. This was dissolved in 100 ml of 1 N HCl. The excess acid required 16 ml of 2.5 N NaOH solution for complete neutralization. Identify the metal M. (At wt. H = 1, C = 12, O = 16, Cl = 35.5, Ba = 138)

Complete and balance the following equation:

Ce³⁺ + $$S_2O_8^{-2} \to $$ $$SO_4^{-2}$$ + Ce⁴⁺

Complete and balance the following equation:

Zn + $$NO_3^- \to$$ Zn²⁺ + $$NH_4^+$$

Rutherford's scattering experiment is related to the size of the