Question

1.44 g of titanium \[\left( {Ti} \right)\] reacted with excess of \[{O_2}\] ​ and produced X gm of a non stoichiometric compound \[T{i_{1.44}}{O_1}\] ​. The value of X is:
A) 1.44
B) 1.77
C) 2
D) None of these

Answer 1

Hint: In order calculate the amount of nonstoichiometric compound formed by reaction between titanium and oxygen, we need to calculate the number of moles and molecular mass of the elements and will substitute in the formula weight= number of moles $ \times $ molecular mass.

Complete step by step answer:
Let us first write the reaction of titanium with oxygen. The reaction is as follows:

\[1.44Ti + O\; \to \;T{i_{1.44}}{O_1}\]

From the above reaction it is clear that 1.44 mole of \[Ti\] reacts with 1 mole of oxygen to produce 1 mole of \[T{i_{1.44}}{O_1}\].
Weight of titanium involved in the above reaction is = number of moles of titanium $ \times $ molecular mass = $1.44 \times 47.8$= 68.832 gm
68.832 gm of titanium reacts with oxygen to produce 84.8 gm of \[T{i_{1.44}}{O_1}\].

So 1.44 gm of \[Ti\] will produce = $\dfrac{1.44\times\text{molecular weight of} [T{i_{1.44}}{O_1}]}{\text{Weight of Ti}}$

$ \Rightarrow \dfrac{{1.44 \times 84.8}}{{68.832}} = 1.77$

Therefore, 1.77 gm of \[T{i_{1.44}}{O_1}\]will produce from the above reaction.

So, the correct answer is Option B.

Additional information:
Non-stoichiometric compounds are the chemical compounds, which are inorganic compounds always solid in nature, having composition of elements whose quantity of occurrence cannot be depicted by ratio values in natural number

Note: Properties of titanium:
1. Titanium is the element in periodic table with an atomic number of 22 having symbol ‘Ti’.
2. Titanium in appearance is lustrous silver-colored metal.
3. Titanium is equally strong as steel but has a density less than that of steel.
4. It is one of the most abundant metals on earth.
5. Uses of titanium: Titanium is highly resistant towards corrosion making it of major use in areas of high salt content.
6. It is used in the manufacturing of aircrafts because of its strong and lightweight properties.