Physical Chemistry: Thermodynamics, Structure, and Change

Published by W. H. Freeman
ISBN 10: 1429290196
ISBN 13: 978-1-42929-019-7

Foundations - Topic A - Matter - Exercises - Page 23: A.11(a)

Answer

(i) 0.568 mol (ii) $3.42 \times 10^{23} \space molecules$

Work Step by Step

1. Calculate the molar mass of ethanol $\big(C_2H_5OH\big)$: $C: 12.0 \times 2 = 24.0$ $H: 1.0 \times 6 = 6.0$ $O : 16.0 \times 1 = 16.0$ Molar mass of ethanol = $24.0 + 6.0 + 16.0 = 44.0 \space g/mol$ 2. Calculate the amount of $C_2H_5OH$ in moles in 25.0 g of ethanol: $$25.0 \space g \times \frac{1 \space mol}{44.0 \space g} = 0.568 \space mol$$ 3. Find the amount of molecules: Avogadro's constant: $6.022 \times 10^{23}$ $$0.568 \space mol \times \frac{6.022 \times 10^{23} \space molecules}{1 \space mol} = 3.42 \times 10^{23} \space molecules$$
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