There are two steps in the usual industrial preparation of acrylic acid, the immediate precursor of several useful plastics. In the first step, calcium carbide and water react to form acetylene and calcium hydroxide:
CaC2(s) + 2H2O(g) → C2H2(g) + Ca(OH)2(s)
In the second step, acetylene, carbon dioxide and water react to form acrylic acid:
6 C2H2(g) + 3 CO2(g)+4H2O(g) → 5 CH2CHCO2H(g)
Write the net chemical equation for the production of acrylic acid from calcium carbide, water and carbon dioxide. Be sure your equation is balanced.