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How many milliliters of a strong monoprotic acid solution at $\mathrm{pH}=4.12$ must be added to $528 \mathrm{mL}$ of the same acid solution at $\mathrm{pH}=5.76$ to change its $\mathrm{pH}$ to $5.34 ?$ Assume that the volumes are additive.

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$$x=0.021 \mathrm{ld}=21 \mathrm{mL}$$

Chemistry 102

Chapter 15

Acids and Bases

Liquids

Lea M.

April 14, 2021

1) Calculate the pH of a 2.00 M NH4CN solution.

April 15, 2021

1) Calculate the pH of a 2.00 M NH4CN solution

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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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03:28

So the question is how many milliliters off a strong Mona Protect Asset solution at PH. 4.12 must be aided toe 5 28 ml off the same as it solution at Ph. 5.76 to change its pH. Those 5.34 assumed that the volumes are additive. So in this question we find out the volume and first off all what we have. Even that Ph. 4.1 toe. And with the help off pH formula, we can calculate the value off H plus concentration so ph physical toe minus log rhythm off H plus ion concentration. So Ph is given that it's 4.1 toe, which we can write minus log off H plus concentration so H plus concentration. Physical, too. 10 days to power minus 4.12 So with the help of tables we can calculate calculate this value so we get 7.58 into 10 days to power minus five. So concentration off H plus I own. That is 7.58 into 10 days to power minus five. So if if it is a Zuma's M one on one means morality before the delusion. So this is the concentration. Okay, now beach is five point 76 So that means H plus concentration, physical toe, 10 days to power minus 5.76 So with the help of tables or scientific calculators, we can get the value 1.73 into 10 days to power minus six. So the concentration off H plus ion is equal to 1.73 into 10 days to power minus six. And this is, we assume empty. That means majority after the delusion. So polarity is basically the number off months off salute divided by the volume of solution in leaders. So now the volume that is free to 5. 28 Eman and this value is given in the question and we find out the volume, the one in this case and also one more pH that is 5.34 is given. So the H plus concentration, which is equal to 10 days to power minus 5.34 So with the help off scientific calculators or tables, we get the value 4.6 in 10 days to power minus six. Now, with the help off the resulting minority formula. We can calculate the value off even in this question. So a resulting solution morality that this m R that means resulting modularity. So this is Emma. Okay. So we can treat a more physical too. Um, one. We won. Let's empty veto divided by even plus food. So now we just add the values and find out the volume that is even so. 4.6 in 10 days to power minus six. That is a result in minority and the value off M one, which is 7.58 into 10 days to power minus play. You, if even less 1.73 into 10 days to power minus six in the volume veto that is 5 28. So we just multiply 5. 28. Divide by the total volume, which is we want plus veto. So even that we calculated calculate and we do that is 5 28. So now just simplify this equation. So that is four point six in 10 days to power minus six into even plus 5 28 which is equal to 75.8 into 10 days to power minus six. We will plus one point 73 to 10 days to power, minus six and 25 28. So we just some modified this about immigration, so that our calculation the community. So now we can see that this 10 days to power minus six cancel out. So on solving we get this is 4.6 in tow, even. Plus 5. 28 that is 75.8 we one plus 1.73 until 5. 28. So on solving this equation, we get the value of free one, which is a cool toe, 20 even. Mm. So this is the volume that where you calculate in millimeters. So the volume is and Steve volume is 21 emerald.

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