Consider the dissociation of methane, CH4(g), into the elements H2(g) and C(s, graphite). (a) Given that ΔfH⦵(CH4,g) = −74.85 kJ mol−1 and that ΔfS⦵ = −80.67 J K−1 mol−1 at 298 K, calculate the value of the equilibrium constant at 298 K. (b) Assuming that ΔrH⦵ is independent of temperature, calculate K at 50 °C. (c) Calculate the degree of dissociation, α, of methane at 298 K and a total pressure of 0.010 bar. (d) Without doing any numerical calculations, explain how the degree of dissociation for this reaction will change as the pressure and temperature are varied.

Chemistry: Principles and Reactions
8th Edition
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Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter8: Thermochemistry
Section: Chapter Questions
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Consider the dissociation of methane, CH4(g), into the elements H2(g) and C(s, graphite). (a) Given that ΔfH(CH4,g) = −74.85 kJ mol−1 and that ΔfS = −80.67 J K−1 mol−1 at 298 K, calculate the value of the equilibrium constant at 298 K. (b) Assuming that ΔrH is independent of temperature, calculate K at 50 °C. (c) Calculate the degree of dissociation, α, of methane at 298 K and a total pressure of 0.010 bar. (d) Without doing any numerical calculations, explain how the degree of dissociation for this reaction will change as the pressure and temperature are varied.

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