A. Mass of TiCl4=3.54*104 kg
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Moles of TiCl4=3.54*104/189.88=186.433
kmol
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Moles of Mg=1.13*104/24.3=465.02 kmol
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Reaction occurring is:
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TiCl4 +2Mg =2MgCl2 +Ti
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As moles of Mg> 2*moles of TiCl4 hence
TiCl4 is limiting reagent.
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Moles of Ti produced=Moles of TiCl4=186.433 kmol
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Theoretical yield of Ti= 47.88*186.433=8926.3
kg=8.9263*103 kg
B. Percent yield=(Actual yield/Theoretical yield)*100
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=(7.91*103/8.9263*103)100=88.7%