Using The Following Equation:${ Pb\left(SO_4\right)_2 + 4 LiNO_3 \rightarrow Pb\left(NO_3\right)_4 + 2 Li_2SO_4 }$How Many Grams Of Lithium Nitrate Will Be Needed To Make 250 Grams Of Lithium Sulfate, Assuming That You Have An Adequate
Introduction
Chemical reactions are the foundation of chemistry, and understanding the stoichiometry of these reactions is crucial for predicting the amounts of reactants and products involved. In this article, we will analyze the chemical equation:
to determine the amount of lithium nitrate (LiNO3) required to produce 250 grams of lithium sulfate (Li2SO4).
Understanding the Chemical Equation
The given chemical equation represents a double displacement reaction between lead(II) sulfate (PbSO4) and lithium nitrate (LiNO3). The reaction produces lead(II) nitrate (Pb(NO3)4) and lithium sulfate (Li2SO4). The balanced equation indicates that 4 moles of lithium nitrate react with 1 mole of lead(II) sulfate to produce 2 moles of lithium sulfate.
Calculating the Molar Mass of Lithium Sulfate
To determine the amount of lithium nitrate required, we need to calculate the molar mass of lithium sulfate. The atomic masses of lithium (Li), sulfur (S), and oxygen (O) are approximately 6.94 g/mol, 32.07 g/mol, and 16.00 g/mol, respectively.
The molecular formula for lithium sulfate is Li2SO4, which consists of 2 lithium atoms, 1 sulfur atom, and 4 oxygen atoms. The molar mass of lithium sulfate can be calculated as follows:
Molar mass of Li2SO4 = (2 x 6.94 g/mol) + 32.07 g/mol + (4 x 16.00 g/mol) = 14.88 g/mol + 32.07 g/mol + 64.00 g/mol = 110.95 g/mol
Calculating the Molar Mass of Lithium Nitrate
Similarly, we need to calculate the molar mass of lithium nitrate. The atomic masses of lithium (Li), nitrogen (N), and oxygen (O) are approximately 6.94 g/mol, 14.01 g/mol, and 16.00 g/mol, respectively.
The molecular formula for lithium nitrate is LiNO3, which consists of 1 lithium atom, 1 nitrogen atom, and 3 oxygen atoms. The molar mass of lithium nitrate can be calculated as follows:
Molar mass of LiNO3 = 6.94 g/mol + 14.01 g/mol + (3 x 16.00 g/mol) = 6.94 g/mol + 14.01 g/mol + 48.00 g/mol = 68.95 g/mol
Determining the Amount of Lithium Nitrate Required
Now that we have calculated the molar masses of lithium sulfate and lithium nitrate, we can determine the amount of lithium nitrate required to produce 250 grams of lithium sulfate. According to the balanced equation, 4 moles of lithium nitrate react with 1 mole of lead(II) sulfate to produce 2 moles of lithium sulfate.
We can set up a mole ratio between lithium nitrate and lithium sulfate as follows:
4 moles of LiNO3 : 2 moles of Li2SO4
To determine the amount of lithium nitrate required, we need to convert the given mass of lithium sulfate (250 grams) to moles. We can use the molar mass of lithium sulfate (110.95 g/mol) to perform this conversion:
moles of Li2SO4 = mass of Li2SO4 / molar mass of Li2SO4 = 250 g / 110.95 g/mol = 2.25 mol
Since 2 moles of lithium sulfate are produced from 4 moles of lithium nitrate, we can set up a proportion to determine the amount of lithium nitrate required:
4 moles of LiNO3 : 2 moles of Li2SO4 = x moles of LiNO3 : 2.25 mol of Li2SO4
Cross-multiplying and solving for x, we get:
x = (4 x 2.25 mol) / 2 = 4.5 mol
Now that we have determined the number of moles of lithium nitrate required, we can calculate the mass of lithium nitrate needed. We can use the molar mass of lithium nitrate (68.95 g/mol) to perform this conversion:
mass of LiNO3 = moles of LiNO3 x molar mass of LiNO3 = 4.5 mol x 68.95 g/mol = 310.63 g
Therefore, approximately 310.63 grams of lithium nitrate are required to produce 250 grams of lithium sulfate.
Conclusion
In this article, we analyzed the chemical equation:
Q: What is the chemical equation for the reaction between lead(II) sulfate and lithium nitrate?
A: The chemical equation for the reaction between lead(II) sulfate and lithium nitrate is:
Q: What is the molar mass of lithium sulfate?
A: The molar mass of lithium sulfate (Li2SO4) is approximately 110.95 g/mol.
Q: What is the molar mass of lithium nitrate?
A: The molar mass of lithium nitrate (LiNO3) is approximately 68.95 g/mol.
Q: How many grams of lithium nitrate are required to produce 250 grams of lithium sulfate?
A: According to the calculations, approximately 310.63 grams of lithium nitrate are required to produce 250 grams of lithium sulfate.
Q: What is the mole ratio between lithium nitrate and lithium sulfate?
A: The mole ratio between lithium nitrate and lithium sulfate is 4:2, meaning that 4 moles of lithium nitrate react with 2 moles of lithium sulfate.
Q: Can I use this reaction to produce lithium sulfate from lithium nitrate?
A: Yes, you can use this reaction to produce lithium sulfate from lithium nitrate. However, you will need to have lead(II) sulfate as a reactant.
Q: What are the common applications of lithium sulfate?
A: Lithium sulfate is commonly used as a flux in the production of glass and ceramics. It is also used as a component in the manufacture of lithium-ion batteries.
Q: What are the common applications of lithium nitrate?
A: Lithium nitrate is commonly used as a component in the manufacture of lithium-ion batteries. It is also used as a flux in the production of glass and ceramics.
Q: Is it safe to handle lithium sulfate and lithium nitrate?
A: Both lithium sulfate and lithium nitrate are generally considered to be safe to handle, but it is still important to follow proper safety protocols when working with these chemicals. Wear protective gloves, goggles, and a lab coat to avoid skin and eye irritation.
Q: Can I store lithium sulfate and lithium nitrate together?
A: No, it is not recommended to store lithium sulfate and lithium nitrate together. Lithium nitrate can react with lithium sulfate to produce lithium sulfate and lithium nitrate, which can lead to the formation of a solid precipitate.
Q: How do I dispose of lithium sulfate and lithium nitrate?
A: Lithium sulfate and lithium nitrate should be disposed of according to local regulations and guidelines. It is recommended to consult with a qualified professional or a waste management company for proper disposal procedures.