Physical Chemistry: Thermodynamics, Structure, and Change

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

Foundations - Topic B - Energy - Exercises - Page 24: B.12(a)

Answer

$$75.3 \space JK^{-1}mol^{-1}$$

Work Step by Step

1. Determine the molar mass of water $\big(H_2O\big)$ $H: 1.01 \times 2 = 2.02$ $O: 16.00 \times 1 = 16.00$ $16.00 + 2.02 = 18.02 \space g/mol$ 2. Multiply the specific heat capacity of water by its molar mass, in order to calculate its molar heat capacity: $$C_m = C_s \times ({molar \space mass})$$ $$C_m = 4.18 \space JK^{-1} g^{-1} \times 18.02 \space g/mol = 75.3 \space JK^{-1}mol^{-1}$$
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