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Chapter 8: QCE (page 182)

Using activities, find $[{Ag}^{+}]$ in $0.060 MKSCN$ saturated with $AgSCN (s)$

Short Answer

Expert verified

The concentration of ${Ag}^{+}$ ion in 0.060MKSCN is $2.9 脳 10^{- 11} M$

Step by step solution

01

Define the formula for activity species.

Any species' activity value is calculated by multiplying its concentration by its activity coefficient.

For a species C, the activity is given by

$A_{c} = [C] 纬_{c}$

where,

A - Activity

[c] - Concentration

- Activity coefficient.

02

Calculate the activity species.

Given

$0.060 {MKSCN}^{- 1}$ saturated with ${AgSCN}_{(s)}$

The ionic strength $(渭)$ is $0.060 M$ from KSCN,

The solubility product expression

$渭 = 0.060 M K_{SP} = [{Ag}^{+}] 纬_{{Ag}^{+}} [{SCN}^{-}] 纬_{SCN} = 1.1 脳 10^{- 12} At and 纬_{SCN} = 0.80 纬_{A g^{-}} = 0.79$

Substitute the values of concentration and activity coefficients into the solubility product expression

$K_{SP} = [{Ag}^{+}] (0.79) [0.060] (0.80) = 1.1 脳 10^{- 12} [{Ag}^{+}]$

The concentration of ${Ag}^{+}$ ion in $0.060 MKSCN is 2.9 脳 10^{- 11} M$

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Most popular questions from this chapter

Color Plate 4 shows how the color of the acid-base indicatorbromocresol green (H2BG) changes as NaCl is added to an aqueoussolution of (H1)(HBG2). Explain why the color changes from palegreen to pale blue as NaCl is added.

Explain why the solubility of an ionic compound increases as

the ionic strength of the solution increases (at least up to ,0.5 M ).

Write the charge and mass balances for dissolving ${CaF}_{2}$ in water if the reactions are

role="math" localid="1654770961556" ${CaF}_{2} (s) 贌 {Ca}^{2 +} + 2 F {Ca}^{2 +} + H_{2} O 贌 {CaOH}^{+} + H^{+} {Ca}^{2 +} F 贫 {CaF}^{+} {CaF}_{2} (s) 贫 {CaF}_{2} (aq) F + H^{+} 贫 HF (aq) HF (aq) + F 贫 {HF}_{2}$

Assuming complete dissociation of the salts, calculate the ionic strength of

(a) $0.2 mM K {NO}_{3}$

(b) $0.2 mM {Cs}_{2} {CrO}_{4}$

(c) $0.2 m {MMgCl}_{2}$ plus $0.3 mM {AlCl}_{3}$

Including activity coefficient, find the concentration of ${Ba}^{2 +}$ in $0.100 M {({CH}_{3})}_{4} {NIO}_{3}$ solution saturated with $Ba {({IO}_{3})}_{2}$ .

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