Problem

Calculate the equilibrium constant at $25^{\circ}…

02:51

Problem 40 Medium Difficulty

Calculate $\Delta G^{\circ}$ for each of the following reactions from the equilibrium constant at the temperature given.
(a) $\mathrm{Cl}_{2}(g)+\mathrm{Br}_{2}(g) \longrightarrow 2 \mathrm{BrCl}(g) \quad \mathrm{T}=25^{\circ} \mathrm{C} \quad K_{p}=4.7 \times 10^{-2}$
(b) $2 \operatorname{SO}_{2}(g)+\mathrm{O}_{2}(g)=2 \operatorname{SO}_{3}(g) \quad \mathrm{T}=500^{\circ} \mathrm{C} \quad K_{p}=48.2$
(c) $\mathrm{H}_{2} \mathrm{O}(l) \rightleftharpoons \mathrm{H}_{2} \mathrm{O}(g) \quad \mathrm{T}=60^{\circ} \mathrm{C} \quad K_{p}=0.196 \mathrm{atm}$
(d) $\operatorname{CoO}(s)+\mathrm{CO}(g) \rightleftharpoons \mathrm{Co}(s)+\mathrm{CO}_{2}(g) \quad \mathrm{T}=550^{\circ} \mathrm{C} \quad K_{p}=4.90 \times 10^{2}$
(e) $\mathrm{CH}_{3} \mathrm{NH}_{2}(a q)+\mathrm{H}_{2} \mathrm{O}(l) \longrightarrow \mathrm{CH}_{3} \mathrm{NH}_{3}^{+}(a q)+\mathrm{OH}^{-}(a q) \quad \mathrm{T}=25^{\circ} \mathrm{C} \quad K_{p}=4.4 \times 10^{-4}$
(f) $\mathrm{PbI}_{2}(s) \longrightarrow \mathrm{Pb}^{2+}(a q)+2 \mathrm{I}^{-}(a q) \quad \mathrm{T}=25^{\circ} \mathrm{C} \quad K_{p}=8.7 \times 10^{-9}$

Answer

$\Delta G=7.6 \frac{k J}{m o l}$
$\Delta G=-24.9 \frac{k J}{m o l}$
$\Delta G=4.51 \frac{k J}{m o l}$
$\Delta G=-42.39 \frac{k J}{m o l}$
$\Delta G=19.16 \frac{k J}{m o l}$
$\Delta G=46.0 \frac{k J}{m o l}$

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Video Transcript

this question asks you to calculate the Delta G standard from the given tea and equilibrium confident cave. And once you know this formula, it's basically a plucking chuck kind of problem. So we know that Delta G Standard is equal to negative r t, l N, K or L in the natural log of the equilibrium Hansa And here are is gonna be equal to 8.314 tools per Calvin Permal. So now we can just go through and plugging chug into this formal. Essentially, with this given t remember, we're gonna need to convert to Calvin's we to add to 73 and then we're given this. If you just put this into a calculator, you are going to get an answer of 7.6. Uh, kill it, Jules Permal again, Let's just look back at this formula right here. And that's basically what you're gonna put in the Given T and the given equilibrium constant with this constant of bar. So for be same thing clogging shrug with these values again at the 2 73 Different for to tell both, meaning it Negative. 24.9 politicals Permal are to see same deal, and you're gonna end up with 4.51 village ALS. Permal. If you ever confused on the formula, let's let's look back here. Just you rewind the video a little bit. And d Same thing. Plugging chunk. We're gonna get negative or 2.39 Kill it. Rolls. Promote. Sorry. That was stolen. Black and not a different color. Um e same thing until one leg. Sorry. With sensible 19 points. 16 killer jewels for more plugging child. Don't forget to convert to Kelvin. Same deal for two Calvin plugging chuck into formula and you will get 46 point tarot killings. Rules for more for the delta gee standard.

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