Consider the decomposition of methane CH4 (g) = C(s) + 2H2 (g) Given that ∆fH0 (CH4,g) = -74.85 kJ /mol and that So (CH4,g)= 186.26 J/mol.K, So (H2,g)= 130.7 J/mol.K and So (C,s)= 5.74 J/mol.K at 298 K. The formation reaction is the reverse of this given reaction. a) Calculate the value of the equilibrium constant at 298 K (25 °C). b) Calculate that ∆fH o is independent of temperature, calculate K at 50 °C. c) Calculate the extent of reaction (ε) of CH4 at 25 °C and total pressure of 0.01 bar.The activity for solid carbon is unity.

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Consider the decomposition of methane CH4 (g) = C(s) + 2H2 (g)
Given that ∆fH0 (CH4,g) = -74.85 kJ /mol and that So (CH4,g)= 186.26 J/mol.K, So (H2,g)= 130.7 J/mol.K and So (C,s)= 5.74 J/mol.K at 298 K. The formation reaction is the reverse of this given reaction.
a) Calculate the value of the equilibrium constant at 298 K (25 °C).
b) Calculate that ∆fH
o
is independent of temperature, calculate K at 50 °C.
c) Calculate the extent of reaction (ε) of CH4 at 25 °C and total pressure of 0.01 bar.The activity for solid carbon is unity.
d) Without doing any numerical calculations, explain how the extent of reaction will change as the pressure is varied at constant temperature and as the temperature is varied at constant pressure.

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