Calculate the number of particles in each of the following:
i) 24 g of carbon. (number of atoms)
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Answer:
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Explanation:
Convert mass of carbon to moles.
n = m/M, where;
n = ?
m = mass(g) = 24 g C
M = molar mass(g/mol) = 12 g/mol C
Since M is a fraction (g/mol), you can divide by multiplying by its reciprocal (mol/g). This makes it easier to see how grams cancel, leaving moles.
n C = 24 g C × 1 mol C/12 g C = 2 mol C
Use dimensional analysis to calculate number of atoms.
1 mole atoms = 6.022×10^23 atoms.
2 mol C × 6.022×10^23 atoms/mol = 1.2×10^24 atoms C to two significant figures
There are 1.2×10^24 atoms in 24 grams of carbon.
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