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 1

Answer on Question #41593, Chemistry, Other

Question

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

Answer

The chemical equation is:

$$4 \mathrm{Al} + 3 \mathrm{C} = \mathrm{Al_4C_3}$$

Amount of substance, $n$, for carbon is:

$$\begin{array}{l} n = m / M(C) \\ n = 2400 / 12 = 200 \text{ mole} \end{array}$$

Amount of substance for aluminium is:

$$n = 1350 / 27 = 50 \text{ mole}$$

Therefore Al is the limiting reagent.

Amount of substance for $\mathrm{Al_4C_3}$ will be:

$$(1/4) n (Al) = 50/4 = 12.5 \text{ mole}$$

And the weight of $\mathrm{Al_4C_3}$ will be:

$$\begin{array}{l} m = n * M \\ m = 12.5 * 144 = 1800 \text{ g (1.8 kg)} \end{array}$$

Answer: 1.8 kg

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