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Chapter 8: Q4 TY (page 167)

By interpolation, find $γ$ for $H^{+}$ when $μ = 0.06 M$ .

Short Answer

Expert verified

The activity coefficient value for $H^{+}$ ion is 0.854.

Step by step solution

01

Concept used.

Extended Debye-Huckel equation:

The extended Debye-Huckel equation describes the link between activity coefficient and ionic strength.

$γ$ -activity coefficient of ion

$μ$ -ionic strength of solution

$σ$ -size of ion

02

Step 2: Calculate the value of γ.

The activity coefficient and ionic strength values for ion:

The linear interpolation:

$\frac{U n k n o w n i n t e r v a l}{∆ γ} = \frac{k n o w n i n t e r v a l}{∆ γ} \frac{0.83 - 1}{0.83 - 0.86} = \frac{0.1 - 0.06}{0.1 - 0.05} 0.83 - γ = \frac{0.04}{0.05} (- 0.03) - γ = - 0.024 - 0.83 = - 0.854 γ = 0.854$

The activity coefficient value for $H^{+}$ ion is 0.854.

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Most popular questions from this chapter

(a) Ion Pairing . As in problem $8 - 30$ , find the concentration, ionic strength, and ion pair fraction in $0.025 F {MgSO}_{4}$

(b) Two possibly important reactions that we did not consider are acid hydrolysis of ${Mg}^{+} ({Mg}^{2 +} + H_{2} O ֏ {MgOH}^{+} + H^{+})$ and base hydrolysis of ${SO}^{2 -}_{4}$ . Write these two reactions and find their equilibrium constants in Appendices I and G. With the assumed pH near $7.20$ and neglecting activity coefficient, show that both reactions are negligible.

Write the charge balance for a solution containing $H^{+}, {OH}^{-}, {Ca}^{2 +}, {HCO}_{3}^{-}, {CO}_{3}^{2 -}, Ca {({HCO}_{3})}^{+}, Ca {(OH)}^{+}, K^{+} and {ClO}_{4}^{-}$

Find the activity coefficient of $H^{+}$ in a solution containing $0.010 M HCI$ plus $0.040 M {KCIO}_{4}$ . What is the pH of the solution?

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

Find $γ$ for ${Cl}^{-}$ in 0.33mM ${CaCl}_{2}$ .

See all solutions

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