The value of the equilibrium constant at 298 k is 0.9448.
the reaction is given as :
C₂H₂ + H₂ -----> C₂H₄
The ΔG°f at 298 K for C₂H₂ = 209 kJ/mol
the ΔG°f at 298 K for H₂ = 0
the ΔG°f at 298 K for C₂H₄ = 68.4 kJ/mol
ΔG°f = 209 - 68.4 + 0
ΔG°f = 140.6 kJ/mol
the equilibrium constant expression is given as :
ΔG = ΔG°f + RT lnk
for equilibrium : ΔG = 0
k = e^-ΔG°f / RT
k = e^( -140.6 / 8.314 × 298 )
k= e^(-0.0567)
k = 0.9448
Thus, the value of equilibrium constant k is 0.9448.
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