The Q in Nerst's Equation

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byeh2004

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So Nerst's equation is E=E0-(.06/n)log(Q)

Q is basically the same equation we use to find K in equilibrium

How do we know whether the cathode or the anode is the product or reactant and vice versa? Is it different for an electrolytic cell?

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I'm going to repost this just to clear up the difference between K and Q:

"If I'm wrong about any of this I'm sorry, but I'll give it a go. Hopefully someone will correct me if I'm wrong. K basically tells you the ratio of products over reactants when a system is at equilibrium. Q tells you the ratio of products over reactants whether or not the system is at eq. So if Q = K then the reaction is at equilibrium. If K > Q the there will be a rightward shift in the reaction rate (reaction favor production of products). A way to remember this is: K --> Q. See how you can make an arrow? Lastly, if K < Q there will be a leftward shift.

Now tying this into Gibb's we have delta G = delta G* + RTlnQ and delta G* = -RTlnK. Let's start with delta G*. This basically tells you the value of delta G* when the reaction is at equilibrium. Remember, although the * sign means standard conditions, we can have std conditions at any temp, not just 298k. With the second equation, that basically relates the delta G of the rxn at equilibrium to Q, or the ratio of products over reactants of the given. If the Q = K, then delta G = 0 which tells us that the rxn is at equilibrium. Another way to look at it is delta G = -RTlnK + RT lnQ. So when Q = K, the two will cancel each other out and you'll get zero. Remember though the delta G* tells you the rxn is spontaneous at equilibrium, that doesn't mean the delta G value will be negative or spontaneous as well. The spontaneity of a rxn depends on the starting concentrations represented by the Q.

Well I hope that helps some. This is was my amount of studying today since I took today off. It felt good to look up stuff and teach myself, while helping someone else. 🙂

Edit: Oh yeah, you can think of temperature in delta G equation as giving a greater priority to the starting concentrations."



About the cath/an question, I'll get to that sometime tomorrow if no one has responded.

Edit 2: Did you still need that explanation or have you found the information?
 
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So Nerst's equation is E=E0-(.06/n)log(Q)

Q is basically the same equation we use to find K in equilibrium

How do we know whether the cathode or the anode is the product or reactant and vice versa? Is it different for an electrolytic cell?

You would write the equation based on the standard reduction potentials. For example:

Given that the standard reduction potentials for Au3+/Au is 1.50 V and for Li+/Li is -3.05V, the reaction would look like this:

Au3+(aq) + 3Li(s) --> Au(s) + 3Li+(aq)

So Q would be [Li+]^3 / [Au3+].
 
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