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.12(a)

Answer

(i) $180 \space g$ (ii) $1.77 \space N$

Work Step by Step

1. Calculate the molar mass of water $\big(H_2O\big)$: $H: 1.0 \times 2 = 2.0$ $O : 16.0 \times 1 = 16.0$ Molar mass of water = $2.0 + 16.0 = 18.0 \space g/mol$ 2. Find the mass of 10.0 mol $H_2O$: $$10.0 \space mol \times \frac{18.0 \space g}{1 \space mol} = 180. \space g$$ 3. Calculate the weight on the surface of the Earth: $Weight = mg = (180. \space g)(9.81 \space m/s^2) = 1770 \space g \space m/s^2$ Normally, the weight is expressed in $N$, which is $kg \space m/s^2$. Thus, we should convert the mass into $kg$: $$Weight = 1770 \space g \space m/s^2 \times \frac{1 \space kg}{1000 \space g} = 1.77 \space N$$
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