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Problem 78

The $K_{\mathrm{sp}}$ of $\mathrm{ZnF}_{2}$ is $3…

Problem 77

The $K_{\mathrm{sp}}$ of $\mathrm{PbCl}_{2}$ is $1.7 \times 10^{-5}$ at $25^{\circ} \mathrm{C} .$ What is $\Delta G^{\circ}$ Is it possible to prepare a solution that contains $\mathrm{Pb}^{2+}(a q)$ and $\mathrm{Cl}^{-}(a q),$ at their standard-state concentrations?

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Video Transcript

So for this question, we're gonna have to use the relationship between Delta Gino and coaches. Delta G equals negative rt lnk with are equal to 8.31 for Jules Formal Calvin. The temperature is given to us as 25 degrees Celsius, but we want to see Kelvin so to 98 Calvin hats at 2 73 And K is given to us as a 1.7 times since tonight. If it so, it's a pretty easy just plug in holding jug, and you get that Delta G for the reaction is equal to, uh, 27209 jewels promote, and we should be comfortable. The fact that's a pause. The number Because if K is much less than one, Delta G should be greater than zero. Both of these represent non spontaneous reactions, and that is the key to the second part of question. If we have this reaction, the products here, so they let me be clear. The reaction this is describing is TB seal, too, as a solid becoming lead to loss in to seal minuses as a solution. So basically, the association of this salt and so this is goodbye. These values Delta, G and K were being clear that most of the TV seal to stays as a solid. And so, um, we're not going to be able to get a solution that significantly with lead and claure, because if we do really form any significant out, it just bounces right back. The reaction going to the left becoming a solid is so much more favorable than the one going to the right. And let's take a quick point. Will the term standard state concentrations What? That just refers to the fact that Delta G that we find from this equation by using K refers to whenever all of the construction all, uh, I owns or, uh, gases is one more, um, like one Moeller moles per liter that nothing. Um And so in this situation, basically those words after standard state concentrations telling us use this used the fact that Delta G of not is greater than zero to say no, this isn't a spontaneous reaction