Question #85461

What is the mass in grams of 5.00 × 1022molecules of C9H8O4?

Expert's answer

#85461 Chemistry, Other

What is the mass in grams of 5.00×10225.00 \times 10^{22} molecules of C9H8O4\mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4}?

Answer:

There are 6.022×10236.022 \times 10^{23} molecules in a mole of a substance.

The number of moles of C9H8O4\mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4} is: 5.00×1022/6.022×1023=0.83×101=0.0835.00 \times 10^{22} / 6.022 \times 10^{23} = 0.83 \times 10^{-1} = 0.083 mol

M(C9H8O4)=180 g/mol\mathrm{M}(\mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4}) = 180 \mathrm{~g} / \mathrm{mol}

n=m/Mm=nM\mathrm{n} = \mathrm{m} / \mathrm{M} \quad \mathrm{m} = \mathrm{nM}

m(C9H8O4)=0.083×180=14.94 g\mathrm{m}(\mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4}) = 0.083 \times 180 = 14.94 \mathrm{~g}

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