Titanium dioxide, TiO₂ is the most widely used white pigment for paints, having displaced most lead-based pigments, which are environmental hazards. Before it can be used, however, naturally occurring TiO₂ must be freed of colored impurities. One process for doing this converts impure TiO₂(s) , to TiCl₄(g) which is then converted back to pure TiO₂(s). The process is based on the following reactions, the first of which generates TiCl₄.

What mass of carbon is consumed in producing 1.00 kg of pure TiO₂(s) in this process?

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2 TiO₂ (impure) + 3 C(s) + 4Cl₂(g) TiCl4(g) + O₂(g) - 2 TiCl4(g) + CO₂(g) + 2 CO(g) TiO₂(s) + 2Cl₂(g)