Chapter 1: Problem 15
Banana skins turn brown much more rapidly after the fruit has been peeled than before. Why?
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Chapter 1: Problem 15
Banana skins turn brown much more rapidly after the fruit has been peeled than before. Why?
These are the key concepts you need to understand to accurately answer the question.
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In nuclear fusion, two \({ }^{2} \mathrm{H}\) (deuterium) atoms combine to form helium and a neutron. $$ { }^{2} \mathrm{H}+{ }^{2} \mathrm{H} \rightarrow{ }^{3} \mathrm{He}+\mathbf{n} $$ The mass of \({ }^{2} \mathrm{H}\) is \(2.0141\) atomic mass units (a.m.u.), the mass of \({ }^{3}\) He is \(3.0160 \mathrm{a} . \mathrm{m} . \mathrm{u}\)., and the mass of a neutron is \(1.0087 \mathrm{a} . \mathrm{m} . \mathrm{u}\). (1 a.m.u. \(=1.6605 \times 10^{-27} \mathrm{~kg}\) ). Perhaps the most famous mathematical formula in the history of civilization on Earth is \(\mathrm{E}=\mathrm{mc}^{2}\), where \(m\) is mass in \(\mathrm{kg}, c\) is the speed of light in \(\mathrm{m} \mathrm{s}^{-1}\), and \(E\) is heat energy in J. The relationship between matter and energy is a recurring theme in this book. Show that the heat released on formation of one mole of helium atoms and one mole of neutrons from two moles of deuterium atoms is about \(3.14 \times 10^{8} \mathrm{~kJ}\).
Give three examples of a closed system. Give three examples of an open system.
The wavelength of blue light is about \(4700 \mathrm{~A}\); that of red light, about \(7000 \AA\left(1 A=10^{-10} \mathrm{~m}\right.\); the angström is named in honor of the Swedish physicist Anders Jonas Angstrôm (1814-1874)). Calculate the energy of a photon at these wavelengths. About 7 kcal \(\mathrm{mol}^{-1}\) is released when ATP is hydrolyzed to ADP and inorganic phosphate (under standard state conditions). Compare the energy of the photons absorbed by plants to the energy of ATP hydrolysis \(\left(1 \mathrm{~mole}=6.02 \times 10^{23}\right)\).
Describe an astronaut in a spaceship in terms of open and closed systems.
It is said that energy is to biology what money is to economics. Explain.
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