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Chapter 8: Q7P (page 183)

Calculate the activity coefficient of ${Zn}^{2 +}$ when $渭 = 0.083 M$ by using (a) Equation $8 - 6$ ; linear interpolation in Table $8 - 1$ .

Short Answer

Expert verified

Thus the activity coefficient of ${Zn}^{2 +}$ when $渭 = 0.083 M$ is

(a) 0.422 M

(b) 0.432 M

Step by step solution

01

Calculation the Activity Coefficient using Debye Huckle Equation.

The task is to calculate the activity coefficient of ${Zn}^{2 +}$ when $渭 = 0.083 M$ .

In the task (a) we need to find using the equation $8 - 6$ .

Debye Huckle equation role="math" localid="1654853836629" $\log 纬 = \frac{- 0.51 脳 z^{2} 脳 \sqrt{渭}}{1 + 伪 \sqrt{\frac{渭}{305}}}$

role="math" localid="1654853927016" $\log 纬 = \frac{- 0.51 脳 z^{2} 脳 \sqrt{0.083}}{1 + 600 \sqrt{\frac{0.083}{305}}} \log 纬 = - 0.375 纬 = 10^{- 0.375} = 0.422 鈥� M$

02

Calculating the Activity Coefficient using Interpolation.

In the task (b) , we need to find the activity coefficient using the equation for interpolation.

$纬 = (\frac{0.083 - 0.05}{0.7 - 0.05} 脳 (0.405 - 0.485)) + 0.485 = 0.432 M$

Thus the activity coefficient of ${Zn}^{2 +}$ when $渭 = 0.083 M$ is

(a) 0.422 M

(b) 0.432 M

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Most popular questions from this chapter

The equilibrium constant for dissolution of a non ionic compound, such as diethyl ether $({CH}_{3} {CH}_{2} {OCH}_{2} {CH}_{3})$ , in water can be written

$ether (I) 謴 ether (aq) K = [ether (aq)] 纬_{ether}$

At low ionic strength, role="math" localid="1654837696819" $纬鈮� 1$ for neutral compounds. At high ionic strength, most neutral molecules can be salted out of aqueous solution. That is, when a high concentration typically $(> 1 M)$ of a salt such as $NaCI$ is added to aqueous solution, neutral molecules usually becomes less soluble. Does the activity coefficient, $纬_{ether}$ increases or decreases at high ionic strength?

Write two mass balances for a 1.0Lsolution containing 0.100molof sodium acetate.

Find the activity coefficient of each ion at the indicated ionic strength:

$(a) {SO}_{4}^{2 -} 鈫� (渭 = 0.01 M) (b) {Sc}^{3 +} 鈫� (渭 = 0.005 M) (c) {Ec}^{3 +} 鈫� (渭 = 0.1 M) (d) {({CH}_{3} {CH}_{2})}_{3} {NH}^{+} 鈫� (渭 = 0.05 M)$

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

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.

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