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What weight of calcium contains the same number of atoms as are present in 3.2 g of sulphur?
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What weight of calcium contains the same number of atoms as are presen...
Understanding the Problem
To find out how much calcium (Ca) contains the same number of atoms as in 3.2 g of sulfur (S), we need to follow a few steps involving molar mass and Avogadro's number.
Step 1: Calculate Moles of Sulfur
- Molar mass of sulfur (S) = 32 g/mol
- Moles of sulfur in 3.2 g = mass (g) / molar mass (g/mol)
- Moles of sulfur = 3.2 g / 32 g/mol = 0.1 mol
Step 2: Determine Number of Atoms in Sulfur
- Using Avogadro's number (6.022 x 10^23 atoms/mol):
- Number of atoms in 0.1 mol of sulfur = 0.1 mol x 6.022 x 10^23 atoms/mol = 6.022 x 10^22 atoms
Step 3: Calculate Required Moles of Calcium
- To find the same number of atoms in calcium, we also need 6.022 x 10^22 atoms.
- Therefore, moles of calcium required = number of atoms / Avogadro's number
- Moles of calcium = 6.022 x 10^22 atoms / 6.022 x 10^23 atoms/mol = 0.1 mol
Step 4: Calculate Mass of Calcium
- Molar mass of calcium (Ca) = 40 g/mol
- Mass of calcium = moles x molar mass
- Mass of calcium = 0.1 mol x 40 g/mol = 4 g
Conclusion
To have the same number of atoms as contained in 3.2 g of sulfur, you need 4 g of calcium.
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What weight of calcium contains the same number of atoms as are present in 3.2 g of sulphur?
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