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In a $0.080 M \mathrm{NH}_{3}$ solution, what percent of the $\mathrm{NH}_{3}$ is present as $\mathrm{NH}_{4}^{+} ?$

$$1.5 \%$$

Chemistry 102

Chapter 15

Acids and Bases

Liquids

Carleton College

Drexel University

University of Kentucky

Brown University

Lectures

03:07

A liquid is a nearly incompressible fluid that conforms to the shape of its container but retains a (nearly) constant volume independent of pressure. As such, a liquid is one of the four fundamental states of matter (the others being solid, gas and plasma). A liquid is made up of tiny vibrating particles of matter, such as atoms, held together by intermolecular bonds. Water is, by far, the most common liquid on Earth. Like a gas, a liquid is able to flow and take the shape of a container. Most liquids resist compression, although others can be compressed. Unlike a gas, a liquid does not disperse to fill every space of a container, and maintains a fairly constant density. A distinctive property of the liquid state is surface tension, leading to wetting phenomena.

04:38

A liquid is a state of matter in which a substance changes its shape easily and takes the form of its container, and in which the substance retains a constant volume independent of pressure. As a result of this, a liquid does not maintain a definite shape, and its volume is variable. The characteristic properties of a liquid are surface tension, viscosity, and capillarity. The liquid state has a definite volume, but it also has a definite surface. The volume is uniform throughout the whole of the liquid. Solids have a fixed shape and a definite volume, but they do not have a definite surface. The volume of a solid does not vary, but the volume of a liquid may vary.

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Okay, So the question is asking us defying what percent of the original ammonia is going to lionize so we can set it up like this? The NH four plus divided by the initial NH three concentration times 100 that will give us the answer we're looking for. Well, the question tells us what the initial ammonia is that 0.80 but we don't know is an itch for plus that is going to ionized. So how do we find that we're gonna have to set up this formula for the ionization constant? And that is the image four plus concentration, which we want times the hydroxide concentration all over the ammonia concentration at equilibrium. Um, so you can look up the actual constant itself. It's in your textbook 1.8 times sending the negative five. So we have that. We don't know what the NH four concentration will be as well as the hydroxide. We just know that they're both going to be the same. We also know that the and H three at equilibrium will be the original minus. Whatever it loses to go into the NH four plus in hydroxide concentrations. Um Let's rewrite the x Times X s X squared and the 0.8 we're going to assume that it will be close enough still 0.8 that subtracting the axe will have a big effect. So we'll just leave that the same, um son rearrange it and X squared will equal 1.44 times 10 to the negative six. Next step is to take the square root of both sides, and we will get a value for X. That's 1.2 times 10 to the negative three. Now, since we have that X value, that is the actual value of the NH four plus concentration that we were looking for us at one point two times 10 to the negative three. So let's go back up to our original equation. Now we can plug in what was missing 1.2 times 10 to the negative three, divided by 0.8 times 100 we will get our final answer of 1.5%

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