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The number of atoms in 4.4 moles of Fe a...

The number of atoms in 4.4 moles of Fe are?

A

34.4×`10^23`

B

26.4×`10^23`

C

4.4×`10^23`

D

38.5×`10^23`

Text Solution

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The correct Answer is:
To find the number of atoms in 4.4 moles of iron (Fe), we can follow these steps: ### Step-by-Step Solution: 1. **Understand Avogadro's Number**: - Avogadro's number states that one mole of any substance contains approximately \(6.02 \times 10^{23}\) entities (atoms, molecules, etc.). 2. **Identify the Given Information**: - We are given that we have 4.4 moles of iron (Fe). 3. **Calculate the Number of Atoms**: - To find the total number of atoms in 4.4 moles of iron, we multiply the number of moles by Avogadro's number: \[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \] \[ \text{Number of atoms} = 4.4 \, \text{moles} \times 6.02 \times 10^{23} \, \text{atoms/mole} \] 4. **Perform the Calculation**: - Now, calculate: \[ \text{Number of atoms} = 4.4 \times 6.02 \times 10^{23} \] - First, multiply \(4.4\) by \(6.02\): \[ 4.4 \times 6.02 = 26.488 \] - Therefore, the total number of atoms is: \[ 26.488 \times 10^{23} \, \text{atoms} \] 5. **Final Answer**: - We can round this to \(26.4 \times 10^{23}\) atoms. ### Conclusion: The number of atoms in 4.4 moles of iron is \(26.4 \times 10^{23}\) atoms. ---

To find the number of atoms in 4.4 moles of iron (Fe), we can follow these steps: ### Step-by-Step Solution: 1. **Understand Avogadro's Number**: - Avogadro's number states that one mole of any substance contains approximately \(6.02 \times 10^{23}\) entities (atoms, molecules, etc.). 2. **Identify the Given Information**: ...
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