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.11(a)

Answer

$$ 2.42 \space JK^{-1}g^{-1}$$

Work Step by Step

1. Calculate the molar mass of ethanol $\big(C_2H_5OH\big)$ $C: 12.0 \times 2 = 24.0 $ $H: 1.0 \times 6 = 6.0$ $O: 16.0 \times 1 = 16.0$ $24.0 + 6.0 + 16.0 = 46.0 \space g/mol$ 2. Divide the molar heat capacity of ethanol by its molar mass, in order to calculate the specific heat capacity: $$C_s = \frac{C_m}{molar \space mass} = \frac{111.46 \space JK^{-1} mol^{-1}}{46.0 \space g/mol} = 2.42 \space JK^{-1}g^{-1}$$
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