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Question

How many gram atoms are there in $$10$$ grams of calcium?


A
0.25 gram atoms, 6.023×1023 atoms
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B
0.25 gram atoms, 1.50×1023 atoms
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C
0.1 gram atoms, 6.023×1023 atoms
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D
0.1 gram atoms, 1.50×1023 atoms
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Solution

The correct option is A $$0.25$$ gram atoms, $$1.50\times { 10 }^{ 23 }$$ atoms
Weight of calcium $$ \displaystyle = 10$$ g
Atomic weight of calcium $$ \displaystyle =40$$ g/g atom
Number of gram atoms of calcium $$ \displaystyle = \dfrac {10 \ g}{40 \ g/g atom}=0.25$$ gram atoms.
The Avogadro's number is $$ \displaystyle 6.023 \times 10^{23}$$ atoms/ g atom
The number of atoms of calcium $$ \displaystyle =0.25$$ gram atoms $$ \displaystyle  \times 6.023 \times 10^{23}$$ atoms/ g atom
$$ \displaystyle \approx 1.50 \times 10^{23}$$ atoms

So, the correct option is $$B$$

Chemistry

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