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What is the number of particles present in 10 g of calcium atoms?
- a)1.5 x 1023
- b)1.5 x 10-23
- c)6.023 x 1023
- d)2.4 x 1.024
Correct answer is option 'A'. Can you explain this answer?
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What is the number of particles present in 10 g of calcium atoms?a)1.5...
Understanding the Calculation
To determine the number of particles (atoms) in 10 g of calcium (Ca), we use Avogadro's number and the molar mass of calcium.
Step 1: Find the Molar Mass of Calcium
- The molar mass of calcium is approximately 40.08 g/mol.
Step 2: Calculate Moles of Calcium
- To find the number of moles in 10 g of calcium:
\[
\text{Moles of Ca} = \frac{\text{Mass}}{\text{Molar Mass}} = \frac{10 \text{ g}}{40.08 \text{ g/mol}} \approx 0.2497 \text{ mol}
\]
Step 3: Use Avogadro's Number
- Avogadro's number (\(6.022 \times 10^{23}\) particles/mol) tells us how many atoms are in one mole of a substance.
- Now, calculate the number of atoms in 0.2497 moles of calcium:
\[
\text{Number of particles} = \text{Moles} \times \text{Avogadro's number} = 0.2497 \text{ mol} \times 6.022 \times 10^{23} \text{ particles/mol}
\]
\[
\approx 1.5 \times 10^{23} \text{ atoms}
\]
Conclusion
- The number of calcium atoms in 10 g is approximately \(1.5 \times 10^{23}\).
- Therefore, the correct answer is **option A: \(1.5 \times 10^{23}\)**.
To determine the number of particles (atoms) in 10 g of calcium (Ca), we use Avogadro's number and the molar mass of calcium.
Step 1: Find the Molar Mass of Calcium
- The molar mass of calcium is approximately 40.08 g/mol.
Step 2: Calculate Moles of Calcium
- To find the number of moles in 10 g of calcium:
\[
\text{Moles of Ca} = \frac{\text{Mass}}{\text{Molar Mass}} = \frac{10 \text{ g}}{40.08 \text{ g/mol}} \approx 0.2497 \text{ mol}
\]
Step 3: Use Avogadro's Number
- Avogadro's number (\(6.022 \times 10^{23}\) particles/mol) tells us how many atoms are in one mole of a substance.
- Now, calculate the number of atoms in 0.2497 moles of calcium:
\[
\text{Number of particles} = \text{Moles} \times \text{Avogadro's number} = 0.2497 \text{ mol} \times 6.022 \times 10^{23} \text{ particles/mol}
\]
\[
\approx 1.5 \times 10^{23} \text{ atoms}
\]
Conclusion
- The number of calcium atoms in 10 g is approximately \(1.5 \times 10^{23}\).
- Therefore, the correct answer is **option A: \(1.5 \times 10^{23}\)**.
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Community Answer
What is the number of particles present in 10 g of calcium atoms?a)1.5...
The number of atoms = (given mass/molar mass) x Avogadro number
N = (10/40) x 6.022 x 1023
N = 1.5 x 1023
N = (10/40) x 6.022 x 1023
N = 1.5 x 1023
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What is the number of particles present in 10 g of calcium atoms?a)1.5 x 1023b)1.5 x 10-23c)6.023 x 1023d)2.4 x 1.024Correct answer is option 'A'. Can you explain this answer?
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