In the given combustion reaction, the number of moles of gaseous products ( Δng ) is -2 (since we have 2 moles of CO₂ gas on the product side and 4 moles of gaseous reactants).
The change in internal energy ( ΔU ) is given as -1406 kJ/mol.
We can calculate the change in enthalpy ( ΔH ) using the equation ΔH=ΔU+ΔngRT , where R is the ideal gas constant and T is the temperature.
Substituting the given values:
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At equilibrium, ΔG=0 , so ΔH=TΔS , which gives TΔS=ΔH .
Therefore, the minimum value of TΔS needed to reach equilibrium is -1411 kJ