Write the balanced chemical equations for the preparation of carbon dioxide by:

(a) heating calcium carbonate.

(b) the action of acetic acid on sodium bicarbonate.

(c) the action of dilute sulphuric acid on sodium bicarbonate.

(d) the action of dilute hydrochloric acid on sodium carbonate.

(a) CaCO₃ $\xrightarrow{\enspace\Delta\enspace}$ CaO + CO₂ (g)

(b) NaHCO₃ + CH₃COOH ⟶ CH₃COONa + H₂O + CO₂ (g)

(c) NaHCO₃ + H₂SO₄ ⟶ NaHSO₄ + H₂O + CO₂

(d) Na₂CO₃ + 2HCl ⟶ 2NaCl + H₂O + CO₂