Question 

16. 2.4 kg of carbon is made to react with 1.35 kg of aluminium to form Al4C3. Calculate the maximun amount (in kg) of aluminium carbide formed


Answer

The chemical equation is:

4Al + 3C = Al4C3

Amount of substance, n, for carbon is: 

n = m/M(C)
n = 2400/12 = 200 mole

Amount of substance for aluminium is: 

n = 1350/27 = 50 mole Therefore Al is the limiting reagent. 
Amount of substance for Al4C3 will be: 

(1/4)n(Al) = 50/4 = 12.5 mole

And the weight of Al4C3 will be:

m = n*M 
m =  12.5*144 = 1800 g (1.8 kg)

Answer: 1.8 kg


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