Elements Of Physical Chemistry
Elements Of Physical Chemistry
7th Edition
ISBN: 9780198796701
Author: ATKINS, P. W. (peter William), De Paula, Julio
Publisher: Oxford University Press
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Chapter 5, Problem 5G.3E

(a)

Interpretation Introduction

Interpretation:

The solubility in water of sparingly soluble silver bromide in 1.4×10-3 M NaBr(aq) solution has to be estimated.

(a)

Expert Solution
Check Mark

Answer to Problem 5G.3E

The solubility in water of sparingly soluble silver bromide in 1.4×10-3 M NaBr(aq) solution is 5.5×10-10 mol dm-3.

Explanation of Solution

The solubility of silver bromide in 1.4×10-3 M NaBr(aq) in water can be estimated by the dissolution of AgBr.

  AgBr(s)Ag+(aq)+ Br-(aq)

Assuming the solution is sufficiently dilute, the solubility constant can be written as

  Ks = aAg+(aq)aBr-(aq)aAgBr(s) ([Ag+]/cο)([Br-]/cο)

The concentration of Ag+ ions is equal to the solubility, [Ag+] = s.

The Br- ions forms from the NaBr solution and from the dissolution of AgBr.  So, [Br-] = C + s.

As AgBr is only sparingly soluble, C >> s.  Hence, [Br- C.

  Ks sC/cο2

On rearrangement of the above expression,

  s = Kscο2C

The solubility constant of AgBr is 7.7×10-13.  Substitution of the value in the above expression

  s = 7.7×10-13 × (1 mol dm-3)21.4×10-3 mol dm-3s = 5.5×10-10 mol dm-3

The solubility in water of sparingly soluble silver bromide in 1.4×10-3 M NaBr(aq) solution is 5.5×10-10 mol dm-3.

(b)

Interpretation Introduction

Interpretation:

The solubility in water of sparingly soluble magnesium carbonate in 1.1×10-5 M Na2CO3(aq) solution has to be estimated.

(b)

Expert Solution
Check Mark

Answer to Problem 5G.3E

The solubility in water of sparingly soluble magnesium carbonate in 1.1×10-5 M Na2CO3(aq) solution is 3.2 × 10-3 mol dm-3.

Explanation of Solution

The solubility of magnesium carbonate in 1.1×10-5 M Na2CO3(aq) in water can be estimated by the dissolution of MgCO3.

  MgCO3(s)Mg2+(aq)+ CO32-(aq)

The magnitude of the solubility constant is similar to the concentration of the solution that contains common ion, the solubility constant is written as

  Ks = aMg2+(aq)aCO32-(aq)aMgCO3(s) ([Mg2+]/cο)([CO32-]/cο)Ks = s (C + s) / cο2 s = Mg2+ and (C + s) = CO32-

On rearrangement of the above expression, a quadratic equation is obtained.

  s2 + Cs - Kscο2 = 0

It is in the form of ax2 + bx + c = 0.  On simplification,

  -b±b2-4ac2a

On simplification of s2 + Cs - Kscο2 = 0,

  s = -C ± C2- 4 × 1 × -Kscο22

The solubility constant of MgCO3 is 1.0×10-5.  Substitution of the value in the above expression

  s = -1.1×10-5 ± (1.1×10-5)2+( 4 × 1.0×10-5)2 mol dm-3s = 3.2 × 10-3 mol dm-3

The solubility in water of sparingly soluble magnesium carbonate in 1.1×10-5 M Na2CO3(aq) solution is 3.2 × 10-3 mol dm-3.

(c)

Interpretation Introduction

Interpretation:

The solubility in water of sparingly soluble lead (II) sulphate in 0.10 M CaSO4(aq) solution has to be estimated.

(c)

Expert Solution
Check Mark

Answer to Problem 5G.3E

The solubility in water of sparingly soluble lead (II) sulphate in 0.10 M CaSO4(aq) solution is 1.6×10-7 mol dm-3.

Explanation of Solution

The solubility of lead (II) sulphate in 0.10 M CaSO4(aq) in water can be estimated by the dissolution of lead sulfate.

  PbSO4(s)Pb2+(aq)+ SO42-(aq)

Assuming the solution is sufficiently dilute, the solubility constant can be written as

  Ks = aPb2+(aq)aSO42-(aq)aPbSO4(s) = ([Pb2+]/cο)([SO42-]/cοsCcο2

On rearrangement of the above expression,

  s = Kscο2C

The solubility constant of PbSO4 is 1.6×10-8.  Substitution of the value in the above expression

  s = 1.6×10-8 × (1 mol dm-3)20.10 mol dm-3s = 1.6×10-7 mol dm-3

The solubility in water of sparingly soluble lead (II) sulphate in 0.10 M CaSO4(aq) solution is 1.6×10-7 mol dm-3.

(d)

Interpretation Introduction

Interpretation:

The solubility in water of sparingly soluble nickel (II) hydroxide in 2.7×10-5 M NiSO4(aq) solution has to be estimated.

(d)

Expert Solution
Check Mark

Answer to Problem 5G.3E

The solubility in water of sparingly soluble nickel (II) hydroxide in 2.7×10-5 M NiSO4(aq) solution is 2.5×10-7 mol dm-3.

Explanation of Solution

The solubility of nickel (II) hydroxide in 2.7×10-5 M NiSO4(aq) in water can be estimated by the dissolution of nickel hydroxide.

  Ni(OH)2(s)Ni2+(aq)+ 2 OH-(aq)

Assuming the solution is sufficiently dilute, the solubility constant can be written as

  Ks = aNi2+(aq)aOH-(aq)2aNi(OH)2(s) = ([Ni2+]/cο)([OH-]/cο)2 4 s2Ccο3

On rearrangement of the above expression,

  s = (Kscο34C)1/2

The solubility constant of Ni(OH)2 is 6.5×10-18.  Substitution of the value in the above expression

  s = {6.5 ×10-18 × (1 mol dm-3)34 × (2.7×10-5 mol dm-3)}1/2s = 2.5×10-7 mol dm-3

The solubility in water of sparingly soluble nickel (II) hydroxide in 2.7×10-5 M NiSO4(aq) solution is 2.5×10-7 mol dm-3.

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Chapter 5 Solutions

Elements Of Physical Chemistry

Ch. 5 - Prob. 5D.1STCh. 5 - Prob. 5D.2STCh. 5 - Prob. 5D.3STCh. 5 - Prob. 5D.4STCh. 5 - Prob. 5D.5STCh. 5 - Prob. 5E.1STCh. 5 - Prob. 5E.2STCh. 5 - Prob. 5F.1STCh. 5 - Prob. 5F.2STCh. 5 - Prob. 5F.3STCh. 5 - Prob. 5F.4STCh. 5 - Prob. 5F.5STCh. 5 - Prob. 5G.1STCh. 5 - Prob. 5G.2STCh. 5 - Prob. 5G.3STCh. 5 - Prob. 5H.1STCh. 5 - Prob. 5H.2STCh. 5 - Prob. 5H.3STCh. 5 - Prob. 5I.1STCh. 5 - Prob. 5I.2STCh. 5 - Prob. 5I.3STCh. 5 - Prob. 5I.4STCh. 5 - Prob. 5I.5STCh. 5 - Prob. 5I.6STCh. 5 - Prob. 5J.1STCh. 5 - Prob. 5J.2STCh. 5 - Prob. 5J.3STCh. 5 - Prob. 5J.4STCh. 5 - Prob. 5J.5STCh. 5 - Prob. 5A.1ECh. 5 - Prob. 5A.2ECh. 5 - Prob. 5A.3ECh. 5 - Prob. 5A.4ECh. 5 - Prob. 5A.5ECh. 5 - Prob. 5A.6ECh. 5 - Prob. 5A.7ECh. 5 - Prob. 5A.8ECh. 5 - Prob. 5A.9ECh. 5 - Prob. 5A.10ECh. 5 - Prob. 5A.11ECh. 5 - Prob. 5A.12ECh. 5 - Prob. 5A.13ECh. 5 - Prob. 5B.1ECh. 5 - Prob. 5B.2ECh. 5 - Prob. 5B.3ECh. 5 - Prob. 5B.4ECh. 5 - Prob. 5B.5ECh. 5 - Prob. 5C.1ECh. 5 - Prob. 5C.2ECh. 5 - Prob. 5C.3ECh. 5 - Prob. 5C.4ECh. 5 - Prob. 5D.1ECh. 5 - Prob. 5D.2ECh. 5 - Prob. 5D.3ECh. 5 - Prob. 5D.4ECh. 5 - Prob. 5E.1ECh. 5 - Prob. 5E.2ECh. 5 - Prob. 5F.4ECh. 5 - Prob. 5G.1ECh. 5 - Prob. 5G.2ECh. 5 - Prob. 5G.3ECh. 5 - Prob. 5H.1ECh. 5 - Prob. 5H.2ECh. 5 - Prob. 5H.3ECh. 5 - Prob. 5H.4ECh. 5 - Prob. 5I.1ECh. 5 - Prob. 5I.2ECh. 5 - Prob. 5I.3ECh. 5 - Prob. 5I.4ECh. 5 - Prob. 5J.1ECh. 5 - Prob. 5J.2ECh. 5 - Prob. 5J.3ECh. 5 - Prob. 5J.4ECh. 5 - Prob. 5.1DQCh. 5 - Prob. 5.2DQCh. 5 - Prob. 5.3DQCh. 5 - Prob. 5.4DQCh. 5 - Prob. 5.5DQCh. 5 - Prob. 5.6DQCh. 5 - Prob. 5.7DQCh. 5 - Prob. 5.8DQCh. 5 - Prob. 5.9DQCh. 5 - Prob. 5.10DQCh. 5 - Prob. 5.11DQCh. 5 - Prob. 5.12DQCh. 5 - Prob. 5.13DQCh. 5 - Prob. 5.14DQCh. 5 - Prob. 5.15DQCh. 5 - Prob. 5.16DQCh. 5 - Prob. 5.17DQCh. 5 - Prob. 5.1PCh. 5 - Prob. 5.2PCh. 5 - Prob. 5.3PCh. 5 - Prob. 5.4PCh. 5 - Prob. 5.5PCh. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - Prob. 5.10PCh. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - Prob. 5.14PCh. 5 - Prob. 5.15PCh. 5 - Prob. 5.16PCh. 5 - Prob. 5.17PCh. 5 - Prob. 5.18PCh. 5 - Prob. 5.19PCh. 5 - Prob. 5.20PCh. 5 - Prob. 5.21PCh. 5 - Prob. 5.22PCh. 5 - Prob. 5.23PCh. 5 - Prob. 5.24PCh. 5 - Prob. 5.25PCh. 5 - Prob. 5.27PCh. 5 - Prob. 5.28PCh. 5 - Prob. 5.29PCh. 5 - Prob. 5.30PCh. 5 - Prob. 5.31PCh. 5 - Prob. 5.32PCh. 5 - Prob. 5.33PCh. 5 - Prob. 5.34PCh. 5 - Prob. 5.35PCh. 5 - Prob. 5.36PCh. 5 - Prob. 5.37PCh. 5 - Prob. 5.38PCh. 5 - Prob. 5.39PCh. 5 - Prob. 5.40PCh. 5 - Prob. 5.41PCh. 5 - Prob. 5.42PCh. 5 - Prob. 5.43PCh. 5 - Prob. 5.44PCh. 5 - Prob. 5.45PCh. 5 - Prob. 5.46PCh. 5 - Prob. 5.47PCh. 5 - Prob. 5.48PCh. 5 - Prob. 5.49PCh. 5 - Prob. 5.50PCh. 5 - Prob. 5.51PCh. 5 - Prob. 5.52PCh. 5 - Prob. 5.53PCh. 5 - Prob. 5.54PCh. 5 - Prob. 5.55PCh. 5 - Prob. 5.56PCh. 5 - Prob. 5.58PCh. 5 - Prob. 5.59PCh. 5 - Prob. 5.60PCh. 5 - Prob. 5.61PCh. 5 - Prob. 5.62PCh. 5 - Prob. 5.63PCh. 5 - Prob. 5.64PCh. 5 - Prob. 5.66PCh. 5 - Prob. 5.67PCh. 5 - Prob. 5.68PCh. 5 - Prob. 5.69PCh. 5 - Prob. 5.70PCh. 5 - Prob. 5.71PCh. 5 - Prob. 5.72PCh. 5 - Prob. 5.73PCh. 5 - Prob. 5.74PCh. 5 - Prob. 5.76PCh. 5 - Prob. 5.77PCh. 5 - Prob. 5.78PCh. 5 - Prob. 5.79PCh. 5 - Prob. 5.1PRCh. 5 - Prob. 5.2PRCh. 5 - Prob. 5.3PRCh. 5 - Prob. 5.4PR
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