Chapter 17: Problem 21
Explain the difference between \(\Delta G\) and \(\Delta G^{\circ} .\)
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Chapter 17: Problem 21
Explain the difference between \(\Delta G\) and \(\Delta G^{\circ} .\)
These are the key concepts you need to understand to accurately answer the question.
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State the third law of thermodynamics and explain its usefulness in calculating entropy values.
(a) Over the years there have been numerous claims about "perpetual motion machines," machines that will produce useful work with no input of energy. Explain why the first law of thermodynamics prohibits the possibility of such a machine existing. (b) Another kind of machine, sometimes called a "perpetual motion of the second kind," operates as follows. Suppose an ocean liner sails by scooping up water from the ocean and then extracting heat from the water, converting the heat to electric power to run the ship, and dumping the water back into the ocean. This process does not violate the first law of thermodynamics, for no energy is created - energy from the ocean is just converted to electrical energy. Show that the second law of thermodynamics prohibits the existence of such a machine.
Carbon monoxide (CO) and nitric oxide (NO) are polluting gases contained in automobile exhaust. Under suitable conditions, these gases can be made to react to form nitrogen \(\left(\mathrm{N}_{2}\right)\) and the less harmful carbon dioxide \(\left(\mathrm{CO}_{2}\right)\). (a) Write an equation for this reaction. (b) Identify the oxidizing and reducing agents. (c) Calculate the \(K_{P}\) for the reaction at \(25^{\circ} \mathrm{C}\). (d) Under normal atmospheric conditions, the partial pressures are \(P_{\mathrm{N}_{2}}=0.80 \mathrm{~atm}, P_{\mathrm{CO}_{2}}=3.0 \times 10^{-4} \mathrm{~atm}\) \(P_{\mathrm{CO}}=5.0 \times 10^{-5} \mathrm{~atm},\) and \(P_{\mathrm{NO}}=5.0 \times 10^{-7} \mathrm{~atm}\) Calculate \(Q_{P}\) and predict the direction toward which the reaction will proceed. (e) Will raising the temperature favor the formation of \(\mathrm{N}_{2}\) and \(\mathrm{CO}_{2} ?\)
The molar heat of vaporization of ethanol is 39.3 kJ/mol and the boiling point of ethanol is \(78.3^{\circ} \mathrm{C}\). Calculate \(\Delta S\) for the vaporization of 0.50 mol ethanol.
From the values of \(\Delta H\) and \(\Delta S,\) predict which of the following reactions would be spontaneous at \(25^{\circ} \mathrm{C}\) : reaction \(\mathrm{A}: \Delta H=10.5 \mathrm{~kJ} / \mathrm{mol}, \Delta S=30 \mathrm{~J} / \mathrm{K} \cdot \mathrm{mol} ;\) reaction \(\mathrm{B}: \Delta H=1.8 \mathrm{~kJ} / \mathrm{mol}, \Delta S=-113 \mathrm{~J} / \mathrm{K} \cdot \mathrm{mol}\) If either of the reactions is nonspontaneous at \(25^{\circ} \mathrm{C}\), at what temperature might it become spontaneous?
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