Thermodynamics - Calculating K of reaction

AI Thread Summary
To calculate the equilibrium constant K for the reaction 2N2O4 (g) + O2 (g) → 2N2O5 (g) at 298K, the Gibbs free energy change ΔG° was determined to be 34.4 kJ/mol. The formula K = e^(-ΔG°/RT) was used, but the incorrect unit for the gas constant R led to an error in the calculation. The gas constant should be in Joules, not kilojoules, which corrected the approach. After adjusting the units, the correct value for K can be obtained. Accurate unit conversion is crucial in thermodynamic calculations.
Bill Nye Tho
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Homework Statement



Establish K at 298K for the reaction:

2N2O4 (g) + O2 (g) → 2N2O5 (g)

Homework Equations



ΔG° = -RTlnK

The Attempt at a Solution



I've established that ΔG° = 34.4 kJ/mol (Correct) but for some reason when I solve for:

K = eΔG°/-RT

K = e34.5/(-(8.314)(298)) = .98495

I get the wrong answer.
 
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Ah, silly me... The units for my gas constant are in Joules not kJoules.

Got it.
 
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