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For the $\Delta G^{\circ}$ values given here, determine the standard cell potential for the cell.(a) $12 \mathrm{kJ} / \mathrm{mol}, \mathrm{n}=3$(b) $-45 \mathrm{kJ} / \mathrm{mol}, \mathrm{n}=1$

a. $E(c e l l)=-0.041 V$b. $E(c e l l)=0.466 V$

Chemistry 102

Chapter 17

Electrochemistry

Carleton College

Rice University

University of Toronto

Lectures

03:07

A liquid is a nearly incom…

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A liquid is a state of mat…

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For the standard cell pote…

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The $E_{\text {cell }}^{\c…

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The standard cell potentia…

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Calculate the standard cel…

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The standard potential for…

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Calculate $\Delta G_{\math…

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Starting with standard pot…

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The bond enthalpy of $\mat…

okay, So were given Delta G the free energy and in the number of electrons in this sum, we need to find the standard cell potential. So, basically, in order to do that, we need to know an equation. And that equation is Delta G equals negative. And and he's so f is a constant Faraday's constant. And then, um so we're solving first having cell potential and were given the rest. So the important thing is that this is in jewels and we're giving killer jewels, so I need to convert. Um, so 12 killer Jules is 12,000 jewels. So a plug that in here equals negative three. Faraday's constant is 96,485. Cool. Ums her more. And then we're solving for Ceren saw potential, which is votes. But a vote equals jewels or cool arms so that we need to use jewels and then this makes sense and is number of moles of electrons. So this is knows. So it makes sense Moles cancel out with Moors. Who, of course, is that were given give us free energy in jewels. OK, so I was a little Well, um unit check all right he sell. So basically what you can divide this term on both sides. So we're gonna have 12,000 divided by this, um, right now divided by Make sure you use parentheses or multiply that beforehand. Okay? And we get negative point. Oh, for one side lots. And I don't think it asked if it's spontaneous or not, but it is less than zero. So not wantonness. All right, One more example. Same thing Delta G equals negative. And he's so convert this to Jules. So they have negative 45,000 jewels. Times negative one times 98. Ah, sorry. That's wrong. And he six try it again. You got cocky and I knew it, Officer in my head. But I do know all right. Hey, so so we're solving for a salsa Will divide negative 45,000 divided by Faraday's constant the negative version of such. So we should have a positive answer until already. And rig it point for 66 volts again. That is greater than zero. So would that reaction will be spontaneous. All right. That's how you find center tell potential given gives free energy and the number of moles of electrons transferred in the

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