Chapter 56: Problem 5
How does temperature affect the equilibrium \(\mathrm{H}_{2} \mathrm{O}(\ell) \rightleftarrows \mathrm{H}_{2} \mathrm{O}(\mathrm{g}) ?\) Explain in terms of \(\Delta H^{\circ}\)
Chapter 56: Problem 5
How does temperature affect the equilibrium \(\mathrm{H}_{2} \mathrm{O}(\ell) \rightleftarrows \mathrm{H}_{2} \mathrm{O}(\mathrm{g}) ?\) Explain in terms of \(\Delta H^{\circ}\)
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Get started for freeRecall that \(\Delta G^{\circ}\) can be written as a function of \(\Delta H^{\circ}\) and \(\Delta S^{\circ}\). Assume that \(\Delta H^{\circ}\) and \(\Delta S^{\circ}\) are not temperature dependent and answer each of the following: a) Derive an expression relating \(\ln K, \Delta H^{\circ}\), and \(\Delta S^{\circ} .\) That is, derive an expression that looks like \(\ln K=\) some function of \(\Delta H^{\circ}\) and \(\Delta S^{\circ} .\) The temperature, \(T\), should appear only once in this equation. b) How are the equilibrium constants for reactions with \(\Delta H^{\circ}>0\) affected by an increase in temperature? c) How are equilibrium constants for reactions with \(\Delta H^{\circ}<0\) affected by an increase in temperature?
Show that the proportionality constant found in CTQ 7 is equal to \(\frac{R T}{n F}\), where the universal gas constant \(R=8.314 \frac{\mathrm{J}}{\mathrm{K} \mathrm{mole}}, F\) is Faraday's constant, 96485 coulombs per mole (of electrons), and "n" is the number of moles of electrons transferred in the balanced chemical reaction.
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