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valentina_108 [34]
3 years ago
9

How concentrated can lye solution be before its ph rises above calcium hydroxide saturated water?

Chemistry
1 answer:
Flauer [41]3 years ago
5 0
The solubility of calcium hydroxide (Ca(OH)2) in water at 20^{o}C is 0.02335 <span>mol/L. When a Ca(OH)2 solution has a concentration of 0.02335 mol/L at the said temperature, a saturated solution is formed. 

Upon dissolution and dissociation of 1 mole Ca(OH)2, 1 mole of calcium ion (</span>Ca^{+2}) and 2 moles of hydroxide ions (OH^{-1}) are formed. The concentration of the hydroxide ions determine the pH of the solution. This same concentration would be needed in calculating the concentration of lye solution needed. 

1. To calculate the pH of the solution, a few approaches are possible. Here, the pOH of the solution is calculated first using the molar concentration of OH^{-1} ions. Because pH + pOH = 14, the pH of the solution can then be calculated by subtracting pOH from 14. 

Because 2 moles of OH^{-1} ions are formed per mole of Ca(OH)2 dissolved, the pOH of a saturated Ca(OH)2 solution at 20^{o}C is,  

*Concentration (C_{OH_{1}}) of OH^{-1} ions,
             C_{OH_{1}} = 0.02335 mol Ca(OH)2/L  * 2 mol OH^{-1}/ 1 mol Ca(OH)2
             C_{OH_{1}} = 0.0467 mol OH^{-1}/L 

*pOH of saturated Ca(OH)2 solution, 
                                    pOH = -log [C_{OH_{1}}]
                                    pOH = -log [0.0467 mol OH^{-1}/L ]             
                                    pOH = 1.33        

*pH of saturated Ca(OH)2 solution,
                                    pH = 14 - 1.33
                                    pH = 12.67

2. To find the concentration of lye (NaOH) solution that would give the same pH as a saturated Ca(OH)2 solution at the same temperature, the pOH of the saturated Ca(OH)2 solution will be used. 

For every mole of NaOH that dissolves and dissociates, 1 mole of OH^{-1} ions is formed. Thus, 

*Concentration (
C_{OH_{2}}) of OH^{-1} ions,
             pOH = -log [C_{OH_{2}}]
               1.33 = -log [C_{OH_{2}} ]       
             C_{OH_{2}} = 10^-1.33   
             C_{OH_{2}} = 0.0467 mol OH^{-1}/ L

Because 1 mole of NaOH produces only 1 mole of OH^{-1} ions, the concentration of the OH^{-1} ions should then be equal to the concentration of the lye (NaOH) solution. Thus, 0.0467 mol/L of lye would give the same pH as that of 0.0233 mol/L (saturated) Ca(OH)2 solution at 20^{o}C. The pH of both solutions is 12.67.  
      
                                               
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Value of equilibrium constant is 0.0888

Explanation:

Both NH_{3} and CO_{2} are gaseous. Hence equilibrium constant depends upon partial pressures of NH_{3} and CO_{2}.

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Mole fraction of NH_{3} = (number of moles of NH_{3})/(total number of moles of NH_{3} and CO_{2}) = \frac{2moles}{(2+1)moles}=\frac{2}{3}

Mole fraction of CO_{2} = (number of moles of CO_{2})/(total number of moles of NH_{3} and CO_{2}) = \frac{1moles}{(2+1)moles}=\frac{1}{3}

Let's assume both CO_{2} and NH_{3} behaves ideally.

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Where x represents mole fraction

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Answer:

The equilibrium constant for the reversible reaction = 0.0164

Explanation:

At equilibrium the rate of forward reaction is equal to the rate of backwards reaction.

The reaction is given as

A ⇌ B

Rate of forward reaction is first order in [A] and the rate of backward reaction is also first order in [B]

The rate of forward reaction = |r₁| = k₁ [A]

The rate of backward reaction = |r₂| = k₂ [B]

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where k₁ and k₂ are the forward and backward rate constants respectively.

k₁ = 0.010 s⁻¹

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|r₁| = 0.010 [A]

|r₂| = 0.016 [B]

At equilibrium, the rate of forward and backward reactions are equal

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k₁ [A] = k₂ [B] (eqn 1)

Note that equilibrium constant, K, is given as

K = [B]/[A]

So, from eqn 1

k₁ [A] = k₂ [B]

[B]/[A] = (k₁/k₂) = (0.01/0.0610) = 0.0163934426 = 0.0164

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Hope this Helps!!!

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