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Stoichiometry

Titanium, whi...

Question

Titanium, which is used to make aeroplane engines and frames, can be obtained from titanium tetrachloride, which in turn is obtained from titanium oxide by the following process: $3 T i O_{2} (s) + 4 C (s) + 6 C l_{2} (g) \to 3 T i C l_{4} (g) + 2 C O_{2} (g) + 2 C O (g)$
A vessel contains $4.32$ g $T i O_{2}$ , $5.76$ g C and $7.1$ g $C l_{2}$ . Suppose the reaction goes to completion as written, how many grams of $T i C l_{4}$ can be produced? $(T i = 48)$

9.8 g m

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9.5 g m

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8.1 g m

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8.5 g m

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Solution

The correct option is B $9.5 g m$
The balanced chemical reaction is $3 T i O_{2} (S) + 4 C (S) + 6 C 1_{2} (g) \to 3 T i C l_{4} (g) + 2 C O_{2} (g) + 2 C O (g)$
The number of moles of titanium dioxide, carbon and chlorine present are $\frac{4.32}{79.9} = 0.054 m o l e s, \frac{5.76}{12} = 0.48 m o l e s a n d \frac{7.1}{71} = 0.1 m o l e s$ respectively.
Chlorine is the limiting reagent.
The mass of titanium chloride formed in this reaction is $0.1 \times \frac{3}{6} \times 189.679 = 9.5 g$

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Similar questions

3 T i O_{2} (s) + 4 C (s) + 6 {C l}_{2} (g) ⟶ {3 T i C l}_{4} (g) + 2 {C O}_{2} (g) + 2 C O (g)

4.32

{T i O}_{2}

5.76

C

7.1

{C l}_{2}

{T i C l}_{4}

3 T i O_{2} (s) + 4 C (s) + 6 C l_{2} (g) \to 3 T i C l_{4} (g) + 2 C O_{2} (g) + 2 C O (g)

4.32

T i O_{2}

5.76

7.1

C l_{2}

T i C l_{4}

(T i = 48)

T i C l_{4}

O_{2}

T i C l_{4} (s) + O_{2} (g) \to T i O_{2} (s) + 2 C l_{2} (g)

T i C l_{4}

O_{2}

T i C l_{4} (s) + O_{2} (g) \to T i O_{2} (s) + 2 C l_{2} (g)

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