# Solutions Definition and 17 Discussions

In chemistry, a solution is a special type of homogeneous mixture composed of two or more substances. In such a mixture, a solute is a substance dissolved in another substance, known as a solvent. The mixing process of a solution happens at a scale where the effects of chemical polarity are involved, resulting in interactions that are specific to solvation. The solution usually has the state of the solvent when the solvent is the larger fraction of the mixture, as is commonly the case. One important parameter of a solution is the concentration, which is a measure of the amount of solute in a given amount of solution or solvent. The term "aqueous solution" is used when one of the solvents is water.

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1. ### Studying When to check the solutions during self-study?

Hi all! As I've mentioned in a previous post a while ago, I've started studying Calculus from "Calculus, a complete course" by R.A. Adams & C. Essex. I've managed to get through a good part of it already, and I plan to continue to more physics related textbooks afterwards. The end-goal I have...
2. ### Different volatilities in ideal solutions?

Suppose ##A## and ##B## are two liquids, and intermolecular forces between molecules of ##A## are of magnitude ##f_{AA}## and between molecules of ##B##, ##f_{BB}##. If ##f_{AA}>f_{BB}##, then the pure liquid ##A## is volatile than ##BB##, i.e., the tendencies that the molecules have to leave...
3. ### Could you please explain Azeotropes in detail?

Could you please explain Azeotropes in detail? I find it really difficult to wrap my head around it. The only thing I know is Azeotropes are the mixtures whose composition is the same in both vapor and liquid state. This might be a stupid question but why and how is the composition the same? If...

Hi. If you have seen the above image which shows a parabola then you can also see that there is a colored portion of the parabola that have solution in "another dimension" - the "another dimension" can give me new numbers to form a solution of a function like f(x) = x2 + 1. 1. Is this "another...
5. ### Quantum Solutions Manual: Bransden's QM 2nd ed?

Hi all, does anyone know if Bransden's book has a solutions manual out there somewhere? I would loathe to go through the chapters before realising that I can't find solutions to its exercises. If not, are there QM texts out there with a similar scope to this book that do have solutions manuals...
6. ### Mechanism behind solution color change due to pH change

I would like to ask for somebody to point me in the right direction - any literature I could read - regarding the mechanism behind color changes that an organic solution undergoes due to changes in pH. I am not referring to organic indicators or dyes, specifically. I have observed in my...
7. ### Properties of Solutions of Matrix ODEs

Homework Statement We assume from ODE theory that given a smooth A: I → gl(n;R) there exists a unique smooth solution F : I → gl(n;R), defined on the same interval I on which A is defined, of the initial value problem F' = FA and F(t0) = F0 ∈ gl(n;R) given. (i) Show that two solutions Fi : I...
8. ### Mg metal reacts with HCl to produce hydrogen gas?

1. The problem statement, all variables and given/known Mg metal reacts with HCl to produce hydrogen gas. What is the minimum volume of HCl solution (27% by weight) required to produce 12.1 g of H2? Density of HCl solution is 1.14 g/cm3 Homework Equations [/B] This...
9. ### I am sure I am doing this Acid/Base problem wrong

What is the pH of a solution made from 34.6 ml if 3.45*10^-4 M of H2SO4 added to 41.7 ml of 4.56*10^-4 M of Al(OH)3? I know how to find H+ and OH- and pH I also know how to use x mol / L, but I cannot get them to click together. Everyone keeps telling me to use RICE but my professor never...
10. ### Other Mathematical Methods in the Physical Sciences (alternative?)

Is there any alternative books that teach you how to just do the problems rather than emphasizing why, and is there any books that emphasize why in an easier format? Something like a "mathematical methods for dummies" book? This is the book I'm referring to (...
11. ### General Solution of inhomogeneous ODE

I am having a little trouble with a problem I am trying to solve. Given three particular solutions Y1(x)= 1, Y2(x)= x and Y3(x)= x^2 Write down a general solution to the second order non homogeneous differential equation. What I have done so far is to realise if Y1,2 and 3 are solutions...
12. ### Classical An introduction to mechanics solutions

Hello, Per your guidance I'm running through the 2nd edition of an introduction to mechanics. I'm only in the 1st chapter and all the problems are conceptual with no sign of answers. Does anyone know where I can find a manual? Or maybe an alternate source of problems with answers?
13. ### Block Wedge problem

Homework Statement A block of mass m is placed on a triangular block of mass M, which in turn is placed on a horizontal surface as shown. Assume frictionless surfaces. Find the speed of triangular block when the small block reaches the bottom end, Homework Equations The Attempt at a...
14. ### Preparing a Solution using ppm and ppb -

I would like to prepare 50.0 g of 50 ppb Pb standard solution in 1% HNO3 gravimetrically, in a 50.0mL plastic tube from a stock solution of 50 ppm Pb. From what I understand, this is a dilution...so C1V1 = C2V2 I like working in mg/L more than ppb and ppm so I converted 50 ppb = 0.05 mg/L 50...
15. ### Non-ideal solution and vapour pressure

When there is a positive or negative deviation it is due to the interactions between A-A and B-B being weaker or stronger than the interactions between A-B. However, are there any scenarios where the interactions between A-A are stronger than A-B while B-B weaker than A-A or vice versa? In such...
16. ### How do you solve this stoichiometry problem? Is it possible?

10.25g of a compound, including chlorine is then diluted. So there is 10.25g in the original compound, which is then diluted. 30mL of that solution is combined with an excess of AgNO3 to create 35.5g of AgCl. What is the mass percent of chlorine in the original compound/sample. I got 8.78g for...
17. ### Differential Equations System Solutions

Homework Statement Consider the initial value problem for the system of first-order differential equations y_1' = -2y_2+1, y_1(0)=2 y_2' = -8y_1+2, y_2(0)=-1 If the matrix [ 0 -2 -8 0 ] has eigenvalues and eigenvectors L_1= -4 V_1= [ 1...