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28 November, 17:24

The standard enthalpy of certain reaction is approximately constant at + 125kJmol-1 from 800K to 1500K. The standard Gibbs energy is + 25kJmol-1 at 1150K. Estimate the temperature at witch the equilibrium constant becomes greater than 1.

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  1. 28 November, 17:26
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    T = 3006.976 K

    Explanation:

    ∴ ΔH° = 125 KJ/mol (800K - 1500K)

    ∴ ΔG° = 25 KJ/mol (1150 K)

    ⇒ T = ? ∴ K > 1

    In the equilibrium:

    K = e∧ (ΔG°/RT)

    ∴ K > 1

    If ΔG°/RT = 1

    ⇒ e∧ (1) = 2.72 > 1

    ∴ ΔG°/RT = 1

    ⇒ T = ΔG°/R = (25 KJ/mol) / (8.314 E-3 KJ/mol. K)

    ⇒ T = 3006.976 K

    verifying:

    K = e∧ (ΔG°/RT)

    ⇒ K = e∧ (25 / ((8.314 E-3) (3006.976)))

    ⇒ K = 1.000000061 > 1
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