Write the equilibrium equation and the \(K_{s p}\) expression for each of the following. (a) \(\mathrm{Co}_{2} \mathrm{~S}_{3}\) (b) \(\mathrm{PbCl}_{2}\) (c) \(\mathrm{Zn}_{2} \mathrm{P}_{2} \mathrm{O}_{7}\) (d) \(\mathrm{Sc}(\mathrm{OH})_{3}\)

Short Answer

Expert verified
Question: Write the equilibrium equations and solubility product constant expressions (\(K_{sp}\)) for each of the following compounds: (a) \(\mathrm{Co}_{2} \mathrm{S}_{3}\), (b) \(\mathrm{PbCl}_{2}\), (c) \(\mathrm{Zn}_{2} \mathrm{P}_{2} \mathrm{O}_{7}\), and (d) \(\mathrm{Sc}(\mathrm{OH})_{3}\). Answer: (a) \(\mathrm{Co}_{2} \mathrm{S}_{3} \leftrightharpoons 2 \mathrm{Co}^{3+} + 3 \mathrm{S}^{2-}\) \(K_{sp} = [\mathrm{Co}^{3+}]^2[\mathrm{S}^{2-}]^3\) (b) \(\mathrm{PbCl}_{2} \leftrightharpoons \mathrm{Pb}^{2+} + 2 \mathrm{Cl}^{-}\) \(K_{sp} = [\mathrm{Pb}^{2+}][\mathrm{Cl}^-]^2\) (c) \(\mathrm{Zn}_{2} \mathrm{P}_{2} \mathrm{O}_{7} \leftrightharpoons 2 \mathrm{Zn}^{2+} + 2 \mathrm{P} \mathrm{O}_{4}^{3-}\) \(K_{sp} = [\mathrm{Zn}^{2+}]^2[\mathrm{P} \mathrm{O}_{4}^{3-}]^2\) (d) \(\mathrm{Sc}(\mathrm{OH})_{3} \leftrightharpoons \mathrm{Sc}^{3+} + 3 \mathrm{OH}^-\) \(K_{sp} = [\mathrm{Sc}^{3+}][\mathrm{OH}^-]^3\)

Step by step solution

01

(a) Writing the equilibrium equation for Co2S3

For the compound \(\mathrm{Co}_{2} \mathrm{S}_{3}\), it dissociates in water as follows: \(\mathrm{Co}_{2} \mathrm{S}_{3} \leftrightharpoons 2 \mathrm{Co}^{3+} + 3 \mathrm{S}^{2-}\)
02

(a) Writing the \(K_{sp}\) expression for Co2S3

The solubility product constant expression for \(\mathrm{Co}_{2} \mathrm{S}_{3}\) is: \(K_{sp} = [\mathrm{Co}^{3+}]^2[\mathrm{S}^{2-}]^3\)
03

(b) Writing the equilibrium equation for PbCl2

For the compound \(\mathrm{PbCl}_{2}\), it dissociates in water as follows: \(\mathrm{PbCl}_{2} \leftrightharpoons \mathrm{Pb}^{2+} + 2 \mathrm{Cl}^{-}\)
04

(b) Writing the \(K_{sp}\) expression for PbCl2

The solubility product constant expression for \(\mathrm{PbCl}_{2}\) is: \(K_{sp} = [\mathrm{Pb}^{2+}][\mathrm{Cl}^-]^2\)
05

(c) Writing the equilibrium equation for Zn2P2O7

For the compound \(\mathrm{Zn}_{2} \mathrm{P}_{2} \mathrm{O}_{7}\), it dissociates in water as follows: \(\mathrm{Zn}_{2} \mathrm{P}_{2} \mathrm{O}_{7} \leftrightharpoons 2 \mathrm{Zn}^{2+} + 2 \mathrm{P} \mathrm{O}_{4}^{3-}\)
06

(c) Writing the \(K_{sp}\) expression for Zn2P2O7

The solubility product constant expression for \(\mathrm{Zn}_{2} \mathrm{P}_{2} \mathrm{O}_{7}\) is: \(K_{sp} = [\mathrm{Zn}^{2+}]^2[\mathrm{P} \mathrm{O}_{4}^{3-}]^2\)
07

(d) Writing the equilibrium equation for Sc(OH)3

For the compound \(\mathrm{Sc}(\mathrm{OH})_{3}\), it dissociates in water as follows: \(\mathrm{Sc}(\mathrm{OH})_{3} \leftrightharpoons \mathrm{Sc}^{3+} + 3 \mathrm{OH}^-\)
08

(d) Writing the \(K_{sp}\) expression for Sc(OH)3

The solubility product constant expression for \(\mathrm{Sc}(\mathrm{OH})_{3}\) is: \(K_{sp} = [\mathrm{Sc}^{3+}][\mathrm{OH}^-]^3\)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Write the equilibrium equations on which the following \(K_{s p}\) expressions are based. (a) \(\left[\mathrm{Hg}_{2}{ }^{2+}\right]\left[\mathrm{Cl}^{-}\right]^{2}\) (b) \(\left[\mathrm{Pb}^{2+}\right]\left[\mathrm{CrO}_{4}^{2-}\right]\) (c) \(\left[\mathrm{Mn}^{4+}\right]\left[\mathrm{O}^{2-}\right]^{2}\) (d) \(\left[\mathrm{Al}^{3+}\right]^{2}\left[\mathrm{~S}^{2-}\right]^{3}\)

Write the equilibrium equation and the \(K_{s p}\) expression for each of the following. (a) \(\mathrm{AgCl}\) (b) \(\mathrm{Al}_{2}\left(\mathrm{CO}_{3}\right)_{3}\) (c) \(\mathrm{MnS}_{2}\) (d) \(\mathrm{Mg}(\mathrm{OH})_{2}\)

What is the solubility of \(\mathrm{CaF}_{2}\) in a buffer solution containing \(0.30 \mathrm{M}\) \(\mathrm{HCHO}_{2}\) and \(0.20 \mathrm{M} \mathrm{NaCHO}_{2}\) ? Hint: Consider the equation $$ \mathrm{CaF}_{2}(s)+2 \mathrm{H}^{+}(a q) \longrightarrow \mathrm{Ca}^{2+}(a q)+2 \mathrm{HF}(a q) $$ and solve the equilibrium problem.

Consider the reaction \(\mathrm{Cu}(\mathrm{OH})_{2}(s)+4 \mathrm{NH}_{3}(a q) \rightleftharpoons \mathrm{Cu}\left(\mathrm{NH}_{3}\right)_{4}^{2+}(a q)+2 \mathrm{OH}^{-}(a q)\) (a) Calculate \(K\) given that for \(\mathrm{Cu}(\mathrm{OH})_{2} K_{s p}=2 \times 10^{-19}\) and for \(\mathrm{Cu}\left(\mathrm{NH}_{3}\right)_{4}^{2+} K_{\mathrm{f}}=2 \times 10^{12}\) (b) Determine the solubility of \(\mathrm{Cu}(\mathrm{OH})_{2}\) (in \(\mathrm{mol} / \mathrm{L}\) ) in \(4.5 \mathrm{M} \mathrm{NH}_{2}\).

For the reaction $$ \mathrm{CdC}_{2} \mathrm{O}_{4}(s)+4 \mathrm{NH}_{3}(a q) \rightleftharpoons \mathrm{Cd}\left(\mathrm{NH}_{3}\right)_{4}^{2+}(a q)+\mathrm{C}_{2} \mathrm{O}_{4}^{2-}(a q) $$ (a) calculate \(K .\left(K_{s p}\right.\) for \(\mathrm{CdC}_{2} \mathrm{O}_{4}\) is \(\left.1.5 \times 10^{-8} .\right)\) (b) calculate \(\left[\mathrm{NH}_{3}\right]\) at equilibrium when \(2.00 \mathrm{~g}\) of \(\mathrm{CdC}_{2} \mathrm{O}_{4}\) is dissolved in \(1.00 \mathrm{~L}\) of solution.

See all solutions

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free