how many grams of lithium metal is required in 410 grams of CA(NO3)2
none. I think you wrote only part of the problem.
consider the reaction in which 410 grams of Ca(NO3)2 react with just the right amount of lithium metal in a single replacement reaction.
1-how many grams of lithium are required?
2- how many grams of each product can be produced?
answered above.
To determine the number of grams of lithium metal required, we need to first calculate the molar mass of calcium nitrate (Ca(NO3)2). Then, we can use the stoichiometry of the balanced chemical equation to find the molar ratio of lithium metal to calcium nitrate. Finally, we can convert the molar amount of lithium metal back to grams.
Step 1: Calculate the molar mass of calcium nitrate (Ca(NO3)2).
- The atomic mass of calcium (Ca) is 40.08 g/mol.
- The atomic mass of nitrogen (N) is 14.01 g/mol.
- The atomic mass of oxygen (O) is 16.00 g/mol.
- Since there are two nitrate (NO3) groups, we multiply the atomic mass of nitrogen by two and the atomic mass of oxygen by three.
- Molar mass of calcium nitrate: (40.08 g/mol) + 2[(14.01 g/mol) + 3(16.00 g/mol)] = 164.09 g/mol.
Step 2: Determine the molar ratio of lithium to calcium nitrate using the balanced chemical equation.
The balanced chemical equation for the reaction of lithium with calcium nitrate is:
2Li + Ca(NO3)2 -> 2LiNO3 + Ca
According to the equation, 2 moles of lithium (2Li) react with 1 mole of calcium nitrate (Ca(NO3)2).
Step 3: Convert calcium nitrate to moles.
Since we know the molar mass of calcium nitrate (164.09 g/mol), we can convert the given mass of calcium nitrate (410 g) into moles using the equation:
moles = mass (grams) / molar mass
moles of calcium nitrate = 410 g / 164.09 g/mol ≈ 2.496 mol
Step 4: Use the molar ratio to find the moles of lithium.
According to the balanced chemical equation, 2 moles of lithium (2Li) react with 1 mole of calcium nitrate (Ca(NO3)2).
So, the moles of lithium would be:
moles of lithium = 2.496 mol × (2 moles of lithium / 1 mole of calcium nitrate) = 4.992 mol
Step 5: Convert moles of lithium to grams.
The molar mass of lithium (Li) is 6.94 g/mol. Using the equation:
mass (grams) = moles × molar mass
mass of lithium = 4.992 mol × 6.94 g/mol ≈ 34.61 g
Therefore, approximately 34.61 grams of lithium metal is required in 410 grams of calcium nitrate.