Solubility product of barium sulphate at 25C is 1×10^-9 .What would be the conc of sulphuric acid necessary to ppt barium sulphate from the solution .If the sol contain 0.1 M barium ions
Answers
Answer:
Ksp = [Al3+] [OH–]3 = (S) (3S)3 = 27 S4
S4 = Ksp/27 = 27 × 10–11/27 x 10 = 1 × 10–12
S = 1× 10–3 mol L–1
(i) Solubility of Al(OH)3
Molar mass of Al (OH)3 is 78 g. Therefore,
Solubility of Al (OH)3 in g L–1 = 1 × 10–3 × 78 g L–1 = 78 × 10–3 g L–1 = 7.8 × 10–2 g L–1
(ii) pH of the solution
S = 1×10–3 mol L–1
[OH– ] = 3S = 3×1×10–3 = 3 × 10–3
pOH = 3 – log 3
pH = 14 – pOH = 11 + log 3 = 11.4771
35. Ksp of PbCl2 = 3.2 × 10–8
Let S be the solubility of PbCl2.
Ksp = [Pb2+] [Cl–]2 = (S) (2S)2 = 4S3
Ksp = 4S3
S3 = Ksp/4 = 3.2 x 10–8/4 mol L–1 = 8 × 10–9 mol L–1
Molar mass of PbCl2 = 278
∴ Solubility of PbCl2 in g L–1= 2 × 10–3 × 278 g L–1
= 556 × 10–3 g L–1
= 0.556 g L–1
To get saturated solution, 0.556 g of PbCl2 is dissolved in 1 L water.
0.1 g PbCl2 is dissolved in 0 .1/0 .556 L = 0.1798 L water.
To make a saturated solution, dissolution of 0.1 g PbCl2 in 0.1798 L ≈ 0.2 L of water will be required.
37. ΔrHΘ = ΔfHΘ[CaO(s)] + ΔfHΘ [CO2(g)] – ΔfHΘ [CaCO3(s)]
∴ ΔrHΘ = 178.3 kJ mol–1
The reaction is endothermic. Hence, according to Le-Chatelier’s principle, reaction will proceed in forward direction on increasing temperature.
IV. Matching Type
38. (i) → (b) (ii) → (d) (iii) → (c) (iv) → (a)
39. (i) → (d) (ii) → (c) (iii) → (b)
40. (i) → (d) (ii) → (a) (iii) → (b)
41. (i) → (b) (ii) → (e) (iii) → (c) (iv) → (d)
42. (i) → (c) (ii) → (a) (iii) → (b)
43. (i) → (b) and (c) (ii) → (d) (iii) → (a)
V. Assertion and Reason Type
44. (i) 45. (i) 46. (ii) 47.(iii) 48. (i) 49. (iii) 50. (iv)
VI. Long Answer Type
51. (i) Qc < Kc
(ii) Qc > Kc
(iii) Qc = Kc
where, Qc is reaction quotient in terms of concentration and Kc is equilibrium constant.
53.
S moles of AxBy dissolve to give xS moles of Ap+ and y S moles of Bq–.]
54. ΔG = ΔGΘ + RTlnQ
ΔGΘ = Change in free energy as the reaction proceeds
ΔG = Standard free energy change
Q = Reaction quotient
R = Gas constant
T = Absolute temperature
Since ΔGΘ = – RT lnK
∴ ΔG = – RT lnK + RT lnQ = RT ln Q/K
If Q < K, ΔG will be negative. Reaction proceeds in the forward direction.
If Q = K, ΔG = 0, no net reaction.
[Hint: Next relate Q with concentration of CO, H2, CH4 and H2O in view of reduced volume (increased pressure). Show that Q < K and hence the reaction proceeds in forward direction.]
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