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Please help!! I\'m lost with these questions!!! Please explain the steps! 8.6 lo

ID: 508601 • Letter: P

Question

Please help!! I'm lost with these questions!!!
Please explain the steps! 8.6 low) .Me is some metal. Calculate the pH Value of the saturerted soluuton of MeroH)e m Pure water e)The solubility of MeloH, m puce water is: bout the same e) Cant Hell less than than the solubihty of MetOH. in HI solutio o. C The value of Ka for some acid CHA at 25 C is Ka 4.5 a By using the value of Ka calculate AGO for Hhe dissociation of HA b bat the value ot AG at equilibrium? CS whoct ot AG a+ uilibrium when CH-1 to uo CHAI a. 4 uo 3M, and CAI 40 AM

Explanation / Answer

A) Me(OH)2 (s)< --------> Me2+ (aq) + 2OH-(aq)

Ksp = [Me2+][OH-]^2

At saturated condition

Qsp = Ksp

Qsp = reaction quotient (actual ionic product)

Therefore, Qsp = 8.6×10^-14

8.6 × 10^-14 = [Me2+][OH-]^2

If we put solubility of Me(OH)2 as S then

8.6 × 10^-14= 1S × (2S)^2

4S^3 = 8.6×10^-14

S^3 = 2.15 × 10^-14

S = 2.78×10^-5

[OH-] = 2S

[ OH - ] = 2 × 2.78 × 10^-5

= 5.56×10^-5M

pOH = -log[OH-]

= - log(5.56×10^-5)

= 4.25

pH + pOH = 14

pH = 14 - pOH

= 14 - 4.25

= 9.75

B) Me(OH)2(s) < --------> Me2+(aq) + 2OH-(aq)

HI is an acid and it will give H+ ions

The H+ ions react with OH- ions of the above equilibrium , so OH- ions removed from the equilibrium

According to Le chatlier principle , the equilibrium will shift to the right and give OH- ions to compensate the reduced OH- ions due to reaction with H+ ions.So , the solubility of Me(OH)2 is increased.

Thus, the solubility of Me(OH)2 in pure water is less than the solubility of Me(OH)2 in HI solution.

C) HA <---------> H+ + A-

Ka = [H+][A-]/[HA] = 4.5× 10^-4

a) G° = - RTlnK

Where, R is gas constant = 8.314( J/mol K )

K is equilibrium constant , Ka =4.5×10^-4

T = Kelvin temperature, 25°C = 273.15 +25 = 298.15K

Substituting the values

G° = - 8.314 ( J/mol K) × 298.15K ×ln (4.5×10^-4)

= -8.314 ( J/mol K) × 298.15K × 2.303 × log (4.5 × 10^-4)

= - 5708.72 (J/mol) × (-3.347)

= 19107J/mol

= 19.11 KJ/mol

b) G = G° + RTlnRTlnQ

At equilibrium Q = K

G = -RTlnK + RTlnK =0

c) Q= [H+][A-]/[HA]

Q is reaction quotient

Q= ((0.1×10^-2M)×(4.0×10^-4M))/2.4×10^-3M

= 1.7 × 10^-4

G = G° + RTlnQ

= 19107J/mol + 8.314 ×298.15 ×2.303 log(1.7×10^-4)

= 19107J/mol - 21519J/mol

= -2412 J/mol

= -2.41KJ/mol