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dsp73
3 years ago
15

How many grmas of CaCO3 are present in a sample if there are 4. 52 x 10^24 atoms of carbon in that sample?

Chemistry
1 answer:
lorasvet [3.4K]3 years ago
3 0

No of atoms in 1 mol of CaCO3=6.023×10^23

\\ \sf\bull\longmapsto No\:of\:moles=\dfrac{4.52\times 10^24}{6.023\times 10^23}

\\ \sf\bull\longmapsto No\:of\:moles=0.7mol

Molar mass of CaCO3

\\ \sf\bull\longmapsto 40u+12u+3(16u)

\\ \sf\bull\longmapsto 52u+48u

\\ \sf\bull\longmapsto 100g/mol

Now

\\ \sf\bull\longmapsto No\:of\;moles=\dfrac{Given\:Mass}{Molar\:Mass}

\\ \sf\bull\longmapsto Given\:mass=No\:of\:moles\times Molar\:Mass

\\ \sf\bull\longmapsto Given\:Mass=0.7(100)

\\ \sf\bull\longmapsto Given\:Mass=70g

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441 g CaCO₃ would have to be decomposed to produce 247 g of CaO

<h3>Further explanation</h3>

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Decomposition of CaCO₃

CaCO₃ ⇒ CaO + CO₂

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mol of CaO(MW=56 g/mol) :

\tt mol=\dfrac{mass}{MW}\\\\mol=\dfrac{247}{56}\\\\mol=4.41

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mass CaCO₃(MW=100 g/mol) :

\tt mass=mol\times MW\\\\mass=4.41\times 100\\\\mass=441~g

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