A state of dynamic equilibrium, Ag_2CO_(3(s)) rightleftharpoons 2Ag_((aq))^(+) + CO_(3(aq))^(2-), exists in solution. After water is added and equilibrium is reestablished, what change in the number of moles of Ag^+ occurs in the system? Explain.

Here’s what’s going on here.

The idea here is that silver carbonate, ##”Ag”_2″CO”_3##, is insoluble in aqueous solution, which is why a ** is established between the solid and the dissolved ions.

##”Ag”_2″CO”_text(3(s]) rightleftharpoons color(red)(2)”Ag”_text((aq])^(+) + “CO”_text(2(aq])^(2-)##

The solubility product constant, ##K_(sp)##, for this equilibrium looks like this

##K_(sp) = [“Ag”^(+)]_0^color(red)(2) * [“CO”_3^(2-)]_0##

Here ##[“Ag”^(+)]_0## and ##[“CO”_3^(2-)]_0## represent the equilibrium of the two ions before water is added.

The actual value of the solubility product constant is not important here, all that matters is the fact that you can assume it to be constant, i.e. the temperature of the solution remains unchanged after water is added.

Now, this equilibrium, like any other , is governed by , which as you know states that a system at equilibrium will react to a stress applied to the current position of the equilibrium by shifting in such a way as to counteract that stress.

So, what happens when water is added to the solution?

As a first observation, one could say that the volume of the solution increases. Since is

##color(blue)(“molarity” = “moles of solute”https://studydaddy.com/”liters of solution”)##

an increase in volume would cause a decrease in concentration.

So, after water is added to the solution, you will have

##overbrace([“Ag”^(+)])^(color(purple)(“molarity AFTER adding water”)) < overbrace([“Ag”^(+)]_0)^(color(brown)(“molarity BEFORE adding water”))##


##overbrace([“CO”_3^(2-)])^(color(purple)(“molarity AFTER adding water”)) < overbrace([“CO”_3^(2-)]_0)^(color(brown)(“molarity BEFORE adding water”))##

Now, if the concentrations of the two ions decreased, the product of their new concentrations will be smaller than what you had initially.

##[“Ag”^(+)]^color(red)(2)[“CO”_3^(2-)] < [“Ag”^(+)]_0^color(red)(2) * [“CO”_3^(2-)]_0##

But remember, this product must be equal to ##K_(sp)## again! This means that the equilibrium will shift in such a way as to increase the concentrations of the two ions.

In order for that to happen, more moles of ##”Ag”^(+)## and of ##”CO”_3^(2-)## must be released into solution. Simply put, the equilibrium will shift to the right, i.e. more of the solid will be dissolved.

##”Ag”_2″CO”_text(3(s]) rightleftharpoons color(red)(2)”Ag”_text((aq])^(+) + “CO”_text(2(aq])^(2-)##

##color(white)(aa)stackrel(color(green)(rarr))(color(white)(aaaaa)color(red)(“Shift to the right”)color(white)(aaaaaaa))##

This means that the number of moles of ##”Ag”^(+)## will increase as a result of the change in the position of the equilibrium.

Remember, the molar solubility of the compound remains unchanged because an increase in the number of moles of ions comes after an increase in the volume of the solution.

Calculate Your Essay Price
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more

Order your essay today and save 10% with the coupon code: best10