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(b)

Answer

(i) 0.028 mol (ii) $1.7 \times 10^{22} \space molecules$

Work Step by Step

1. Calculate the molar mass of glucose $\big(C_6H_{12}O_6\big)$: $C: 12.0 \times 6 = 72.0$ $H: 1.0 \times 12 = 12$ $O : 16.0 \times 6 = 96.0$ Molar mass of glucose = $72.0 + 12 + 96.0 =180. \space g/mol$ 2. Calculate the amount of $C_6H_{12}O_6$ moles in 5.0 g of glucose: $$5.0 \space g \times \frac{1 \space mol}{180. \space g} = 0.028 \space mol$$ 3. Find the amount of molecules: Avogadro's constant: $6.022 \times 10^{23}$ $$0.028 \space mol \times \frac{6.022 \times 10^{23} \space molecules}{1 \space mol} = 1.7 \times 10^{22} \space molecules$$
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