Chapter 17: Problem 33
What is a coupled reaction? What is its importance in biological reactions?
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Chapter 17: Problem 33
What is a coupled reaction? What is its importance in biological reactions?
These are the key concepts you need to understand to accurately answer the question.
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As an approximation, we can assume that proteins exist either in the native (or physiologically functioning) state and the denatured state: $$ \text { native } \rightleftharpoons \text { denatured } $$ The standard molar enthalpy and entropy of the denaturation of a certain protein are \(512 \mathrm{~kJ} / \mathrm{mol}\) and \(1.60 \mathrm{~kJ} / \mathrm{K} \cdot \mathrm{mol},\) respectively. Comment on the signs and magnitudes of these quantities, and calculate the temperature at which the process favors the denatured state.
Crystallization of sodium acetate from a supersaturated solution occurs spontaneously (see Section 12.1). What can you deduce about the signs of \(\Delta S\) and \(\Delta H ?\)
Consider the following facts: Water freezes spontaneously at \(-5^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm},\) and ice has a more ordered structure than liquid water. Explain how a spontaneous process can lead to a decrease in entropy.
For reactions carried out under standard-state conditions, Equation (17.10) takes the form \(\Delta G^{\circ}=\Delta H^{\circ}\) \(-T \Delta S^{\circ}\). (a) Assuming \(\Delta H^{\circ}\) and \(\Delta S^{\circ}\) are independent of temperature, derive the equation $$ \ln \frac{K_{2}}{K_{1}}=\frac{\Delta H^{\circ}}{R}\left(\frac{T_{2}-T_{1}}{T_{1} T_{2}}\right) $$ where \(K_{1}\) and \(K_{2}\) are the equilibrium constants at \(T_{1}\) and \(T_{2}\), respectively. (b) Given that at \(25^{\circ} \mathrm{C}, K_{\mathrm{c}}\) is \(4.63 \times 10^{-3}\) for the reaction $$ \mathrm{N}_{2} \mathrm{O}_{4}(g) \rightleftharpoons 2 \mathrm{NO}_{2}(g) \quad \Delta H^{\circ}=58.0 \mathrm{~kJ} / \mathrm{mol} $$ calculate the equilibrium constant at \(65^{\circ} \mathrm{C}\).
State the second law of thermodynamics in words and express it mathematically.
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