Chat with us, powered by LiveChat Does a precipitate of: (a) AgCl (Ksp= 1.6 x 10-10) form when 200 mL of 1.0 x 10-4 M AgNO3(aq) and 900 mL of 1.0 x 10-6 M KCl(aq) are mixed? (b) CaSO4 (Ksp = 2.4 x 10-5) form when 1.0 mL of 1.0M K2SO4(aq), 10.0 mL of 0.0030M CaCl2(aq) , and 100 mL of H2O? | WriteDemy

For part (a) No, a precipitate will not form.

I will show you how to do point (a), and you solve point (b) as practice.

So, you’re mixing two that contain soluble and you want to figure out if a precipitate will form.

Silver nitrate and potassium chloride will dissociate completely in aqueous solution to produce silver and potassium cations, on one hand, and nitrate and chloride anions, on the other.

If and only if the concentrations of the silver cations and chloride anions are high enough, silver chloride, an insoluble ionic compound, will precipitate out of solution.

Now, you know that silver chloride has a equal to ##1.6 * 10^(-10##. The dissociation of silver chloride in aqueous solution is represented by an equilibrium

##”AgCl”_text((s]) rightleftharpoons “Ag”_text((aq])^(+) + “Cl”_text((aq])^(-)##

The nitrate anions and potassium ations are spectator ions, so you can ignore them altogether.

By definition, ##K_(sp)## is equal to

##K_(sp) = [“Ag”^(+)] * [“Cl”^(-)]##

This tells you that if the concentration of silver cations multiplied by the concentration of the chloride anions is at least equal to ##K_(sp)##, a precipitate will be formed.

If these two concentrations do not satisfy this inequality

##K_(sp) <= [“Ag”^(+)] * [“Cl”^(-)]##

then a precipitate will not be formed.

So, start by calculating the total volume of the solution

##V_”total” = V_(AgNO_3) + V_(KCl)##

##V_”total” = “200 mL” + “900 mL” = “1100 mL”##

Use the molarities and the initial volumes of the two solutions to determine the number of moles of each compound

##color(blue)(C = n/V implies n = C * V)##

##n = 1.0 * 10^(-4)”M” * 200 * 10^(-3)”L” = 2.0 * 10^(-5)”moles Ag”^(+)##

and

##n = 1.0 * 10^(-6)”M” * 900 * 10^(-3)”L” = 9.0 * 10^(-7)”moles Cl”^(-)##

The molarities of the silver cations and chloride anions in the final solution will be

##[“Ag”^(+)] = (2.0 * 10^(-5)”moles”)/(1100 * 10^(-3)”L”) = 1.82 * 10^(-5)”M”##

and

##[“Cl”^(-)] = (9.0 * 10^(-7)”moles”)/(1100 * 10^(-3)”L”) = 8.18 * 10^(-7)”M”##

This means that you have

##[“Ag”^(+)] * [“Cl”^(-)] = 1.82 * 10^(-5) * 8.18 * 10^(-7) = 1.5 * 10^(-11)##

Since this value is smaller than ##K_(sp) = 1.6 * 10^(-10)##, a precipitate will not form in the final solution.

Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.

Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.

Do you need an answer to this or any other questions?

About Writedemy

We are a professional paper writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework. We offer HIGH QUALITY & PLAGIARISM FREE Papers.

How It Works

To make an Order you only need to click on “Place Order” and we will direct you to our Order Page. Fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.

Are there Discounts?

All new clients are eligible for 20% off in their first Order. Our payment method is safe and secure.

Hire a tutor today CLICK HERE to make your first order