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A solution contains a weak monoprotic acid HA and its sodium salt NaA both at $0.1 \mathrm{M}$ concentration. Show that $\left[\mathrm{OH}^{-}\right]=K_{\mathrm{w}} / K_{\mathrm{a}}$.
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Chemistry 102
Chapter 15
Acids and Bases
Liquids
Rice University
University of Kentucky
University of Toronto
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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for this problem, We're going to be thinking about relationships as related to a week. Monta product asset are acid. It will be represented by a J. Is there Anna and we have a mix of H A. And it's sodium self and at a a sodium self. And both of these have a concentration of 0.10 Moeller. Our goal or objective is to prove that the hydroxide I hydroxide ion concentration is equal to the K W over K A. Let's begin. Okay, I'm gonna write the K expression for a weak acid as follows. Now, based on what I'm given, I know that my age A Because this is measured 0.10 And since I have this my A these air concentrations aim a minus. My anna and concentration is also 0.10 So I'm gonna substitute those values into this equation. I get 0.10 and I think you can see where I'm going with this. These were going across out giving me the K A is equal to H plus. OK, let me switch colors next. I know the K W is equal to H plus times o h minus. And now I'm going to let me go. Figure I didn't put my bracket right here. I'm going to substitute this value in for this value. And let's do that in a light blue. So now I've got K w. It's exact same color, and I'm gonna substitute this K and a in right here. I've got my hydroxide ion right here and now I'm going to solve for Ohh! So my O H minus concentration is equal to My Highness Idealization Constant for water and my K A approved
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