How many atoms are in 365 grams of CaCl2
To find the number of atoms in a given amount of substance, like 365 grams of CaCl2, we need to follow these steps:
1. Determine the molar mass of CaCl2.
2. Convert the mass of CaCl2 from grams to moles.
3. Use Avogadro's number to calculate the number of atoms in the given amount.
Let's break down each step:
1. The molar mass of CaCl2 can be calculated by summing the atomic masses of its constituent elements:
Molar mass of CaCl2 = (atomic mass of Ca) + 2 × (atomic mass of Cl)
The atomic mass of calcium (Ca) is approximately 40.08 g/mol.
The atomic mass of chlorine (Cl) is approximately 35.45 g/mol.
Molar mass of CaCl2 = 40.08 + 2 × 35.45 = 110.98 g/mol
2. Convert the mass of CaCl2 from grams to moles using the equation:
moles = mass / molar mass
moles = 365 g / 110.98 g/mol ≈ 3.29 moles
Therefore, there are approximately 3.29 moles of CaCl2.
3. Finally, use Avogadro's number (6.022 × 10^23) to convert the moles of CaCl2 to the number of atoms:
number of atoms = moles × Avogadro's number
number of atoms = 3.29 moles × 6.022 × 10^23 atoms/mol
≈ 1.98 × 10^24 atoms
Therefore, there are approximately 1.98 × 10^24 atoms in 365 grams of CaCl2.
To calculate the number of atoms in a given mass of a substance, we need to use the concept of moles.
1. Determine the molar mass of CaCl2:
- Calcium (Ca) has a molar mass of 40.08 g/mol.
- Chlorine (Cl) has a molar mass of 35.45 g/mol.
So, the molar mass of CaCl2 is (40.08 + 2 * 35.45) g/mol = 110.98 g/mol.
2. Calculate the number of moles of CaCl2:
Divide the given mass of CaCl2 (365 g) by its molar mass:
Number of moles = 365 g / 110.98 g/mol ≈ 3.287 mol.
3. Use Avogadro's number:
Avogadro's number is approximately 6.022 x 10^23 atoms/mol. Therefore, one mole of any substance contains 6.022 x 10^23 atoms.
4. Calculate the number of atoms in 3.287 moles of CaCl2:
Multiply the number of moles by Avogadro's number:
Number of atoms = 3.287 mol * (6.022 x 10^23 atoms/mol)
= 1.98 x 10^24 atoms.
Thus, there are approximately 1.98 x 10^24 atoms in 365 grams of CaCl2.
How many moles are in 365 g CaCl2? That's
mols = grams/molar mass = 365/111 = estimated 3.3
1 mol contains 6.02 x 10^23 atoms so 3.3 moles will contain ........atoms.