1. Calculate the theoretical yield percentage for the following cases:

a) 55kg of Cl₂ are produced from the decomposition of 150 kg of aluminium chloride.

AlCl₃ à Al + Cl₂ (unbalanced equation)

2AlCl3 = 2 Al +Cl2

150kg= 150000

Number of moles of AlCl₃ = 150000/133.34g/mol = 1124.94

Number of moles of Cl2 =71g/mol

b) 255 kg of silicon are produced during the reaction of 1.0 t of carbon with excess quartz, SiO₂.

SiO₂ + C à Si + CO (unbalanced equation)

2. In the first step of silicon purification, a reaction is brought about between the impure silicon and chlorine. Pure silicon is then used, in the computer industry, for the manufacture of microchips. 

Si + Cl₂ à SiCl₄ (unbalanced equation)

Given that the silicon is 92% pure, calculate the theoretical yield percentage if 1.0 t of impure silicon produces 2.33 t of silicon (IV) chloride.