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Calculate $\Delta H$ for the process $\mathrm{Hg}_{2} \mathrm{Cl}_{2}(s) \longrightarrow 2 \mathrm{Hg}(l)+\mathrm{Cl}_{2}(g)$ from the following information:$$\begin{array}{ll}{\operatorname{Hg}(l)+\mathrm{Cl}_{2}(g) \longrightarrow \operatorname{HgCl}_{2}(s)} & {\Delta H=-224 \mathrm{kJ}} \\ {\mathrm{Hg}(l)+\mathrm{HgCl}_{2}(s) \longrightarrow \mathrm{Hg}_{2} \mathrm{Cl}_{2}(s)} & {\Delta H=-41.2 \mathrm{kJ}}\end{array}$$

$\Delta H=265.2 \mathrm{kJ}$

Chemistry 101

Chapter 5

Thermochemistry

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So this equation we're trying to figure out the empathy of reaction for H G, too seal too solid becoming to H G l last seal too, CASS. We're giving the information that h d l, but seal to gas becomes h g c l too solid. And that has adults h of a negative 224. Yeah, and then we have HT liquid plus h g seal too solid becomes h g, too seal to solid. And that has intel to age of negative 41 point negative, 41.2. So again, we're gonna try to figure out what we have to manipulate with these two equations to get to our final equation. So we see that h g c 02 is gonna be our We are only reactant and then we're gonna result in two moles of H G is our product and one mole of steel to other product. So looking at these two equations the Onley place I c h g c l, too. It's here in our second equation. Which means that because in the second equation, HD to seo too is in our products and we need to make sure it's one of our reactions. We have to flip this equation. So if I flip this equation HD to CEO too solid becomes h g l us h g c l Too solid when I flip an equation, that means I just have to flip the sign of my empathy of reaction. So now it's gonna become positive 41 point to kill a Jules. But we're not done yet. Now we have our correct reactant. But now we so need are correct products. And so that means I'm gonna have to figure out how to cancel out h g C l, too. The only place in CH gcl too is here as our product of the first reaction, Which means again, I'm gonna flip this. So I have hte g c l too solid goes to h g l with Theo to gas. And then we again are gonna flip the sign of this. It's become positive to 24th. Now look what happens when I just add these things together. H g thio seal to nothing will cancel out. So we have h g to seal too. But if I add ht to Seo to hear we also see that it's in our reactant in the red equation. So these are actually just gonna cancel out, which works out well for us, the h g l in both of the equations or thoughts into h G l's. And then the only thing left is gonna be our one mole of Korean gas. And so we Look, you've gotten to are the equation that we're looking for, which is often. And so then we're just gonna because we out of these two occasions together, we're just gonna add their own puppies of reaction together and therefore running yet to 24 plus 41.2, which could should give us 265 0.2 killed. Jules, Thanks for watching.

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