Determine the Mass of Ti3N4 Produced

Oct 13, 2025 by pinkandtrash.com 32 views

Synthesizing Titanium(IV) Nitride: A Comprehensive Analysis

Titanium(IV) nitride, also known as titanium nitride, is a synthetic compound with the chemical formula Ti3N4. It is a hard, grayish-white solid that is widely used in various industrial applications, including wear-resistant coatings, cutting tools, and aerospace components. In this article, we will explore the synthesis of titanium(IV) nitride from its elements, and determine the mass of the product produced by the reaction.

The Balanced Equation

The balanced equation for the synthesis of titanium(IV) nitride from its elements is:

${ 3 \text{Ti} + 2 \text{N}_2 \rightarrow \text{Ti}_3\text{N}_4 }$

This equation indicates that 3 moles of titanium (Ti) react with 2 moles of nitrogen gas (N2) to produce 1 mole of titanium(IV) nitride (Ti3N4).

Determine the Mass of Ti3N4 Produced

To determine the mass of Ti3N4 produced by the reaction, we need to know the molar masses of the reactants and the product. The molar masses of the reactants are:

Titanium (Ti): 47.87 g/mol
Nitrogen (N): 14.01 g/mol

The molar mass of nitrogen gas (N2) is twice the molar mass of nitrogen, which is:

N2: 2 x 14.01 g/mol = 28.02 g/mol

The molar mass of titanium(IV) nitride (Ti3N4) is the sum of the molar masses of 3 titanium atoms and 4 nitrogen atoms:

Ti3N4: 3 x 47.87 g/mol + 4 x 14.01 g/mol = 143.61 g/mol + 56.04 g/mol = 199.65 g/mol

Now, let's assume that we have 100 grams of titanium (Ti) and 50 grams of nitrogen gas (N2) as the reactants. We can calculate the number of moles of each reactant using their molar masses:

Moles of Ti: 100 g / 47.87 g/mol = 2.09 mol
Moles of N2: 50 g / 28.02 g/mol = 1.78 mol

Since the balanced equation indicates that 3 moles of Ti react with 2 moles of N2 to produce 1 mole of Ti3N4, we can calculate the limiting reactant by dividing the number of moles of each reactant by the stoichiometric coefficients in the balanced equation:

Moles of Ti required: 2.09 mol / 3 = 0.697 mol
Moles of N2 required: 1.78 mol / 2 = 0.89 mol

Since the number of moles of Ti required (0.697 mol) is less than the number of moles of N2 required (0.89 mol), titanium (Ti) is the limiting reactant.

Now, we can calculate the mass of Ti3N4 produced by the reaction using the number of moles of the limiting reactant (Ti) and the molar mass of Ti3N4:

Mass of Ti3N4 produced: 0.697 mol x 199.65 g/mol = 139.3 g

Therefore, the mass of Ti3N4 produced by the reaction is approximately 139.3 grams.

In this article, we have explored the synthesis of titanium(IV) nitride from its elements, and determined the mass of the product produced by the reaction. We have used the balanced equation to calculate the number of moles of each reactant, and identified the limiting reactant by dividing the number of moles of each reactant by the stoichiometric coefficients in the balanced equation. Finally, we have calculated the mass of Ti3N4 produced by the reaction using the number of moles of the limiting reactant and the molar mass of Ti3N4.

CRC Handbook of Chemistry and Physics, 97th Edition
National Institute of Standards and Technology (NIST) Chemistry WebBook
Wikipedia: Titanium Nitride

What are the common applications of titanium(IV) nitride?
How does the synthesis of titanium(IV) nitride from its elements compare to other methods of production?
What are the advantages and disadvantages of using titanium(IV) nitride in various industrial applications?

Titanium(IV) nitride is widely used in wear-resistant coatings, cutting tools, and aerospace components due to its high hardness and resistance to corrosion.
The synthesis of titanium(IV) nitride from its elements is a common method of production, but other methods such as the reaction of titanium tetrachloride with ammonia may also be used.
The advantages of using titanium(IV) nitride include its high hardness, resistance to corrosion, and ability to withstand high temperatures. However, the disadvantages include its high cost and difficulty in machining.
Q&A: Titanium(IV) Nitride Synthesis and Applications

Titanium(IV) nitride, also known as titanium nitride, is a synthetic compound with the chemical formula Ti3N4. It is a hard, grayish-white solid that is widely used in various industrial applications, including wear-resistant coatings, cutting tools, and aerospace components. In this article, we will answer some of the most frequently asked questions about the synthesis and applications of titanium(IV) nitride.

Q: What are the common applications of titanium(IV) nitride?

A: Titanium(IV) nitride is widely used in various industrial applications, including:

Wear-resistant coatings: Titanium nitride is used as a coating for tools and machinery to reduce wear and tear.
Cutting tools: Titanium nitride is used in cutting tools, such as drill bits and saw blades, to improve their hardness and durability.
Aerospace components: Titanium nitride is used in aerospace components, such as engine components and fasteners, due to its high hardness and resistance to corrosion.
Medical implants: Titanium nitride is used in medical implants, such as hip and knee replacements, due to its biocompatibility and resistance to corrosion.

Q: How does the synthesis of titanium(IV) nitride from its elements compare to other methods of production?

A: The synthesis of titanium(IV) nitride from its elements is a common method of production, but other methods, such as the reaction of titanium tetrachloride with ammonia, may also be used. The advantages of synthesizing titanium(IV) nitride from its elements include:

High purity: Titanium(IV) nitride synthesized from its elements has a high purity, which is essential for many industrial applications.
Cost-effective: Synthesizing titanium(IV) nitride from its elements is a cost-effective method, especially for large-scale production.
Flexibility: The synthesis of titanium(IV) nitride from its elements can be easily scaled up or down depending on the requirements.

Q: What are the advantages and disadvantages of using titanium(IV) nitride in various industrial applications?

A: The advantages of using titanium(IV) nitride include:

High hardness: Titanium(IV) nitride has a high hardness, which makes it suitable for wear-resistant coatings and cutting tools.
Resistance to corrosion: Titanium(IV) nitride is resistant to corrosion, which makes it suitable for aerospace components and medical implants.
Biocompatibility: Titanium(IV) nitride is biocompatible, which makes it suitable for medical implants.

The disadvantages of using titanium(IV) nitride include:

High cost: Titanium(IV) nitride is a high-cost material, which makes it less suitable for applications where cost is a major concern.
Difficulty in machining: Titanium(IV) nitride is difficult to machine, which makes it less suitable for applications where machining is required.

Q: What are the common methods of depositing titanium(IV) nitride coatings?

A: The common methods of depositing titanium(IV) nitride coatings include:

Physical vapor deposition (PVD): PVD is a method of depositing titanium(IV) nitride coatings using a vacuum chamber and a target material.
Chemical vapor deposition (CVD): CVD is a method of depositing titanium(IV) nitride coatings using a chemical reaction and a gas phase.
Electroplating: Electroplating is a method of depositing titanium(IV) nitride coatings using an electric current and a plating solution.

Q: What are the common applications of titanium(IV) nitride in the aerospace industry?

A: The common applications of titanium(IV) nitride in the aerospace industry include:

Engine components: Titanium(IV) nitride is used in engine components, such as turbine blades and compressor blades, due to its high hardness and resistance to corrosion.
Fasteners: Titanium(IV) nitride is used in fasteners, such as bolts and nuts, due to its high hardness and resistance to corrosion.
Structural components: Titanium(IV) nitride is used in structural components, such as frames and brackets, due to its high hardness and resistance to corrosion.

In this article, we have answered some of the most frequently asked questions about the synthesis and applications of titanium(IV) nitride. We have discussed the common applications of titanium(IV) nitride, the advantages and disadvantages of using it in various industrial applications, and the common methods of depositing titanium(IV) nitride coatings. We hope that this article has provided valuable information to readers who are interested in learning more about titanium(IV) nitride.