Problem

Assuming that no equilibria other than dissolutio…

06:26

Problem 15 Medium Difficulty

Assuming that no equilibria other than dissolution are involved, calculate the concentration of all solute species in each of the following solutions of salts in contact with a solution containing a common ion. Show that changes in the initial concentrations of the common ions can be neglected.
(a) $\operatorname{AgCl}(s)$ in 0.025$M \mathrm{NaCl}$
(b) $\mathrm{CaF}_{2}(s)$ in 0.00133 $\mathrm{M} \mathrm{KF}$
(c) $\mathrm{Ag}_{2} \mathrm{SO}_{4}(s)$ in 0.500 $\mathrm{L}$ of a solution containing 19.50 $\mathrm{g}$ of $\mathrm{K}_{2} \mathrm{SO}_{4}$
(d) $\mathrm{Zn}(\mathrm{OH})_{2}(s)$ in a solution buffered at a pH of 11.45

Answer

a. $7.2 \times 10^{-9} \mathrm{M}$
b. $2.3 \times 10^{-5} \mathrm{M}$, 0.00133 $\mathrm{M}$
c. $2.3 \times 10^{-9} \mathrm{M}$, $1.15 \times 10^{-9} \mathrm{M}$
d. $5.7 \times 10^{-12} \mathrm{M}$ , $2.8 \times 10^{-12} \mathrm{M}$

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Chemistry 102

Chemistry

Chapter 15

Equilibria of Other Reaction Classes

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Video Transcript

starting with auction, eh? We have to equation, which represents disorder ability off e g C l Andi initial along with the initial and equilibrium concentration as followed over here for ages seal and the 2nd 1 represents for an a c l. We all do. We know the expression for Seoul ability constant. That is gai sp equal to concentration off easy, positive while deployed with the concentration off chlorine. Negative. From the first reaction, this one we are already provided. So substituting the values which we have so it will be 1.6 multiplied 10 days to power. Negative 10 is equal to s for Edie. And this less 0.0 to five for glory. We know that the value for s is so small, so as compared to 0.0 to 5. So we can ignore the value off this. So ignoring that we have 1.6 multiplied 10 days to turn negative 10 equals. It's multiplied with little point. Siegel, Go fight rearranging this equation to find the value off Elves. Witches 1.6 Generous tipper Negative. 10 divided by 0.0. Cool. Five. It gives us 6.4 multiply 10 days to one negative nine morning. This will be the concentration for a jeep for the tip by. The concentration for chlorine will be equal to so concentration for chlorine will be equal to 0.0 25 Moving the body be We have to solve all the parts off this question similar in a similar manner. So but be we again have to equation representing the initial and equilibrium concentration. As for fighting the expression for Saul ability again we have gay ESPN equals concentration off culture multiply. But Florian negative ways to power too. Substituting the values We have three point 9 10 days to plan negative 11 equals As my complied with two s last 0.0 13 square. We already know the valuer off s is two small, less compared to 0.13 Rearranging the secretion 3.9 multiple eight and a stupid negative 11 divided by the value off external Toby 2.3 multiplied 10 days to turn negative. Five. This is the concentration off calcium Too positive? Well, for flooring, the concentration is 0.133 Moving too but scene We have initial and equilibrium concentration for a G to s 04 The expression for the concentration off Kato s 04 can be represented us and equals w divided by m multiplied one by being we substitute the values into this formula 19.5 divided by 1 70 4.26 multiplied one divided by 0.5 leaders. The value turned out to be zero point toe 38 morning No moving on to the next equation off gateway so forth the expression for Saul ability again using the GSP expression I'm straight away putting in the values which are one point toe multiplied. Then they stop on negative five equals toe s will square It's a plus zero point 2 to 38 We know the value off s is so small we can ignore it. So the arranging decoration we have s square equals one going toe Multiply 10 days to plan negative five divided by four months plied with 0.22 38 Solving this the value off s turn out to be 6.7 Multiply 10 days to one negative six morning This 6.7 is the concentration off s for do negative by the concentration off 80 positive We have determined earlier as 1.3 multiplied 10 days to try and make it a fight moving toe option d again using the scalability product off said in which to substituting the values we have 4.5 multiply 10 based upon negative 17 equals Yes, do with us 2.8 Multiply tenders to one negative three one square Substituting in the values and rearranging the equation. We have value off s equals 4.5 multiply 10 days to one negative 17 divided by 2.8 12 pretenders to one negative three whole square two the value off Esto No Toby five 0.7. Multiply 10 days to one negative drill. Now we have to determine the concentration off which negative alliance that will be two multiplied with 5.7 10 list of one negative 12 which will be equal to 1.1 10 days toe are negative. 11. This is the concentration off which negative wine by 5.7 represents the concentration off zinc. Was it divine that into positive

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