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Answer :
Final answer:
To find the number of atoms in 137 grams of calcium, you need to calculate the number of moles of calcium and then multiply it by Avogadro's number. This gives you the total number of atoms in the given mass of calcium.
Explanation:
Calcium (Ca) has an atomic mass of 40.08 grams per mole. One mole of a substance contains 6.02 x 10^23 atoms. To find the number of atoms in 137 grams of calcium:
Number of moles = Mass / Atomic mass = 137 g / 40.08 g/mol = 3.41 moles
Number of atoms = Moles x Avogadro's number = 3.41 moles x 6.02 x 10^23 atoms/mol = 2.05 x 10^24 atoms
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Answer:
2.047x 10²⁴ atoms
Explanation:
To calculate the n° of moles of Ca that they are in 137 g, we can use the next relation:
n = mass/atomic mass = (137 g)/(40.078 g/mol) = 3.4 mol.
For each mole of a molecule contains Avogadro's number of molecules (NA = 6.022 x 10²³).
Using cross multiplication:
1 mole of Ca contains → 6.022 x 10²³ atoms.
3.4 moles of Ca contains → ??? atoms.
∴ 3.4 mole of (137 g) Ca contain = (3.4 mol)(6.022 x 10²³) = 2.047x 10²⁴ atoms.
