How many atoms of hydrogen are in 25kg of calcium hydroxide? Show all calculations.
mols Ca(OH)2 = grams/molar mass = 25,000/about 74 = approx 400. You need to recalculate ALL of these numbers. Mine are simply estimates.
400 mols Ca(OH)2 x (2 mols H atoms/1 mol Ca(OH)2 = approx 800 mols H
atoms. Then there are 6.02E23 atoms in a mol
Post your work if you get stuck
Thanks DrBob222
To calculate the number of hydrogen atoms in 25 kg of calcium hydroxide, we need to use the molar mass and the chemical formula of calcium hydroxide (Ca(OH)2) to find the number of moles of calcium hydroxide, and then multiply by the Avogadro's constant.
1. Calculate the molar mass of calcium hydroxide (Ca(OH)2):
- Molar mass of Ca: 40.08 g/mol
- Molar mass of O: 16.00 g/mol
- Molar mass of H: 1.01 g/mol
- Molar mass of (OH)2 = (16.00 g/mol * 2) + (1.01 g/mol * 2) = 34.02 g/mol
2. Calculate the number of moles of calcium hydroxide:
- Moles of calcium hydroxide = mass / molar mass
- Moles of calcium hydroxide = 25 kg / 34.02 g/mol
- Moles of calcium hydroxide = (25,000 g / 34.02 g/mol)
- Moles of calcium hydroxide ≈ 735.26 mol
3. Calculate the number of moles of hydrogen atoms:
- From the chemical formula Ca(OH)2, we know that there are 2 hydrogen atoms for each calcium hydroxide molecule.
- Moles of hydrogen atoms = 2 moles of calcium hydroxide * (2 moles of hydrogen atoms / 1 mole of calcium hydroxide)
- Moles of hydrogen atoms ≈ 2 * 735.26 mol = 1470.52 mol
4. Convert moles to atoms using Avogadro's constant:
- Avogadro's constant (NA) = 6.022 x 10^23 atoms/mol
- Number of hydrogen atoms = moles of hydrogen atoms * NA
- Number of hydrogen atoms = 1470.52 mol * (6.022 x 10^23 atoms/mol)
- Number of hydrogen atoms ≈ 8.848 x 10^26 atoms
Therefore, there are approximately 8.848 x 10^26 atoms of hydrogen in 25 kg of calcium hydroxide.
To determine the number of atoms of hydrogen in 25kg of calcium hydroxide, we need to follow a few steps.
1. Start by finding the molar mass of calcium hydroxide (Ca(OH)2). The molar mass is the sum of the atomic masses of all the atoms in the compound.
The atomic masses are as follows:
- Calcium (Ca) = 40.08 g/mol
- Oxygen (O) = 16.00 g/mol
- Hydrogen (H) = 1.01 g/mol
Since calcium hydroxide has one calcium atom, two hydrogen atoms, and two oxygen atoms, we calculate the molar mass as follows:
(1 * 40.08 g/mol) + (2 * 1.01 g/mol) + (2 * 16.00 g/mol)
= 40.08 g/mol + 2.02 g/mol + 32.00 g/mol
= 74.10 g/mol
2. Next, calculate the number of moles of calcium hydroxide in 25kg. To do this, divide the mass by the molar mass:
Number of moles = mass / molar mass
Number of moles = 25 kg / 74.10 g/mol
First, convert 25 kg to grams by multiplying by 1000 (as there are 1000 grams in a kilogram):
Number of moles = (25,000 g) / 74.10 g/mol
Number of moles ≈ 337.29 mol
3. Now, we need to determine the number of moles of hydrogen in calcium hydroxide. Since there are two moles of hydrogen per one mole of calcium hydroxide, multiply the number of moles of calcium hydroxide by 2:
Number of moles of hydrogen = 337.29 mol * 2
Number of moles of hydrogen = 674.58 mol
4. Finally, to find the number of atoms of hydrogen, we multiply the number of moles by Avogadro's number, which is approximately 6.022 x 10^23 atoms/mol:
Number of atoms of hydrogen = 674.58 mol * (6.022 x 10^23 atoms/mol)
Number of atoms of hydrogen ≈ 4.06 x 10^26 atoms
So, there are approximately 4.06 x 10^26 atoms of hydrogen in 25kg of calcium hydroxide.