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Untitled - Kelly Walsh High School

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260 CHEMISTRY FOR THE UTTERLY CONFUSED<br />

Don’t Forget!<br />

The Gibbs free energy for the following process is 25.2 kJ/mol. Determine the<br />

equilibrium constant for this process at 25°C:<br />

I 2(g) K 2 I(g)<br />

The following equation relates the Gibbs free energy to an equilibrium constant:<br />

∆G RT ln K<br />

We will need to rearrange this equation:<br />

G<br />

ln K <br />

RT<br />

We can now enter the given values into this relationship. We must not forget a<br />

kJ/J conversion and a C/K conversion.<br />

ln K <br />

(25.2 kJ/mol)<br />

(8.314 J/mol·K) (25 273)K a103 J<br />

1kJ b<br />

ln K 10.1712 (unrounded)<br />

K e 10.1712 3.8256 10 5 3.82 10 5<br />

A system, at 298 K, contains the following gases NO, O 2, and NO 2. These gases<br />

are part of the following reaction:<br />

2 NO(g) O 2(g) l 2 NO 2(g)<br />

The concentrations of the gases are: NO 2.00 M, O 2 0.500 M, and NO 2 <br />

1.00 M. Determine G for the system.<br />

Even though the system is at standard temperature, the system is not standard<br />

because the concentrations are not all one. For this reason, we must use the<br />

relationship:<br />

G G° RT ln Q<br />

Anytime one or more of the following conditions are not met, the system is not<br />

standard, and this equation must be used. The conditions are 298 K, 1 M (for<br />

any reactant or product), and 1 atm (for any reactant or product that is a gas).

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