Question #50181

How many atoms does 3.0 grams of carbon represent?

Expert's answer

Answer on Question #50181 - Chemistry - Other

Question

How many atoms does 3.0 grams of carbon represent?

Answer:

Calculate the number of atoms in 3.0g3.0\mathrm{g} of carbon. The formula is:


N=mNAMN = \frac{m \cdot N_A}{M}


m – the mass of carbon, m=3.0gm = 3.0\mathrm{g};

NAN_A – Avogadro constant, NA=6.0221023 mol1N_A = 6.022 \cdot 10^{23} \mathrm{~mol}^{-1};

M – molar mass of carbon, M=12 g/molM = 12 \mathrm{~g} / \mathrm{mol}.

Number of atoms in 3.0g3.0\mathrm{g} of carbon is:


N(C)=3.06.022102312=1.51023 atomsN(C) = \frac{3.0 \cdot 6.022 \cdot 10^{23}}{12} = 1.5 \cdot 10^{23} \text{ atoms}

Answer: $1.5 \cdot 10^{23}$ atoms

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