Homework Help: Chemistry

Posted by Jerry on Wednesday, March 14, 2012 at 11:51pm.

When the oxide of generic metal M is heated at 25.0 °C, only a negligible amount of M is produced.
O2M(s) ----> M(s) +O2(g) delta G= 288.9 Kj/mol

When this reaction is coupled to the conversion of graphite to carbon dioxide, it becomes spontaneous. What is the chemical equation of this coupled process? Show that the reaction is in equilibrium, include physical states, and represent graphite as C(s).

I got an answer of :

O2M(s)+ C(s) ----> M(s) + CO2(g)

This is correct. I need help on this part of the question:
What is the thermodynamic equilbrium constant for the coupled reaction?
I attempted this twice and got
K=1.22 and 0.89 and they are both wrong. Please help.

Chemistry - DrBob222, Thursday, March 15, 2012 at 1:14am
I would add 288.9 to dGof for CO2 of -394.4 for -105.5 kJ/mol for the reaction you show. Then
(105,500/8.314*298) = lnK and i get a huge number for K. Somethng like 3.1E18
Check that carefully.
Chemistry - Jerry, Thursday, March 15, 2012 at 1:22am
yes it is correct! Thanks so much! You are the best!!!!!
Chemistry2 - Coolguy, Tuesday, December 11, 2012 at 6:25am
K=e raised to -(-106.4 kj/mol)/(8.314e-3kj/mol*298k)

K=4.476e18 is what I got.
Chemistry - Andrew, Monday, March 25, 2013 at 4:20pm
I keep getting the equation wrong!

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