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What concentration of $\mathrm{NH}_{4} \mathrm{NO}_{3}$ is required to make $\left[\mathrm{OH}^{-}\right]=1.0 \times 10^{-5}$ in a $0.200-\mathrm{M}$ solution of $\mathrm{NH}_{3} ?$
0.360 $\mathrm{M}$
Chemistry 102
Chapter 14
Acid-Base Equilibria
Liquids
Carleton College
University of Maryland - University College
Brown University
University of Toronto
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or has to solve for the concentration of ammonium nitrate, just part of our buffer here, uh, be the salt portion of the buffer. Ammonium nitrate were dissociated the NH four plus and and all three minus. And if we're to assign a variable of X here, the ammonium nitrate would also be X. So let's look at our buffer equilibrium, and we'll feel in what we know. Actually, we're gonna start this from and its three starting from the weak base. Um when h three at h 20 NH four plus and O H minus and NH four pluses are unknown value. Here we're starting with 0.2 molar ammonia and hydroxide is one times 10 to the negative five. That would go in here. Actually, this would be a +10 times 10 to the negative five +10 times 10 to the negative five. And this will be X plus one times 10 to the negative five and minus one times 10 to the negative five and point to minus one times 10 That I get a five works out to 19 nine 99 S o r k b here would be NH four plus or right or a K B expression First off which minus over NH three The cabe for ammonia is 18 times 10 to the negative. Five. Let's substitute our values in X +10 times 10 to the negative. Five times 1.0 times 10 to the negative. Five over 0.19999 And let's go ahead and solve this for X. You plug this into my equations Over here, X plus a point 0 10 does a negative five times 1.0 times 10 to the negative five and solving will get. We want to Sig Figs. I'm gonna find that this is equal to X is equal to 0.36 So going back to my question, Lisa, that any four plus was equal to X, which is also equal to the morality of vintage four and three. And these would be equal 2.36 smaller. So the concentration of NH four and three would be equal to 36 Mohler
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