Question

Which has more number of atoms,100 grams of sodium or 100 grams of iron.(Given,atomic number of Na=23u,Fe,z,56u)?

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Answer 1

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$\pink \bigstar$Question:-$\pink \bigstar$

Which has more number of atoms,100 grams of sodium or 100 grams of iron.(Given,atomic number of Na=23u,Fe,z,56u)?

$\pink \bigstar$Answer:-$\pink \bigstar$

Mass of Sidium = 100g

Atomic mass of Sodium = 23u

.°. Mass of 1 mole of Sodium = 23g

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$\sf{no. \: of \: moles \: of \: sodium \: in \: 100g = \frac{100}{23} }$

.°. No. of atoms of sodium in 100g.

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$\sf{ = \frac{100}{23} \times 6.022 \times {10}^{23} }$

$\sf{ = \frac{6.022}{23} \times {10}^{25} }$

$\sf{ = 0.262 \times {10}^{25}}$

$\sf{ = 2.62 \times {10}^{24} }$

Mass of Fe = 100g

Atomic mass of Fe = 56u

Mass of 1 mole of Fe = 56g

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No. of moles of Fe in 100g = 100/56

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀= 25/14

No. of atoms of Fe in 100g = 25/14 × 6.022 × 10²³

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 150.550/14 × 10²³

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 10.754 × 10²³

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 1.0754 × 10²⁴

.°. 100g of sodium has more number of atoms.

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Answer 2

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Mass of Sidium = 100g

Atomic mass of Sodium = 23u

.°. Mass of 1 mole of Sodium = 23g

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$\sf{no. \: of \: moles \: of \: sodium \: in \: 100g = \dfrac{100}{23} }$

.°. No. of atoms of sodium in 100g.⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{ = \dfrac{100}{23} \times 6.022 \times {10}^{23} }$

$\sf{ = \dfrac{6.022}{23} \times {10}^{25} }$

$\sf{ = 0.262 \times {10}^{25}}$

$\sf{ = 2.62 \times {10}^{24} }$

Mass of Fe = 100g

Atomic mass of Fe = 56u

Mass of 1 mole of Fe = 56g

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No. of moles of Fe in 100g = 100/56

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀= 25/14

No. of atoms of Fe in 100g = 25/14 × 6.022 × 10²³

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 150.550/14 10²³

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 10.754 × 10²³

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 1.0754 × 10²⁴

.°. 100g of sodium has more number of atoms.

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