(c) Show that for a system at constant volume •T2 U (T2) = U(T1) + Cy(T) dT, T1 and •T2 Cy(T) S(T;) = S(T;) + | dT. T (d) An average adult weighs 75 kg, and is made mostly of liquid water. Body tem- perature is 37 °C, the heat capacity of water is 4.2 J K-1 g-1, and the density of water is 1 g cm-³. Estimate (i) the drop in body temperature and (ii) the entropy change of the universe when an adult drinks a litre of ice-cold (0 °C) lager in an isolated pub. (e) The calculation in part (d) ignores the metabolic processes that restore body temperature to 37 °C some time after the beer has been drunk. What is the change in the entropy of the universe that accompanies these metabolic processes?

(c) Show that for a system at constant volume •T2 U (T2) = U(T1) + Cy(T) dT, T1 and •T2 Cy(T) S(T;) = S(T;) + | dT. T (d) An average adult weighs 75 kg, and is made mostly of liquid water. Body tem- perature is 37 °C, the heat capacity of water is 4.2 J K-1 g-1, and the density of water is 1 g cm-³. Estimate (i) the drop in body temperature and (ii) the entropy change of the universe when an adult drinks a litre of ice-cold (0 °C) lager in an isolated pub. (e) The calculation in part (d) ignores the metabolic processes that restore body temperature to 37 °C some time after the beer has been drunk. What is the change in the entropy of the universe that accompanies these metabolic processes?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

(c) Show that for a system at constant volume
T2
U (T2) = U(T1) +
| Cv(T) dT,
and
rT2
Cy(T)
dT.
T
S(T2) = S(T¡) +
(d) An average adult weighs 75 kg, and is made mostly of liquid water. Body tem-
perature is 37 °C, the heat capacity of water is 4.2 J K-1 g-, and the density
of water is 1 g cm-3. Estimate (i) the drop in body temperature and (ii) the
entropy change of the universe when an adult drinks a litre of ice-cold (0 °C)
lager in an isolated pub.
(e) The calculation in part (d) ignores the metabolic processes that restore body
temperature to 37 °C some time after the beer has been drunk. What is the
change in the entropy of the universe that accompanies these metabolic processes?

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