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A mixed solution of potassium hydroxide and sodium carbonate required 15 mL. of an N/20 HCI solution when titrated with phenolphthalein as an indicator. But the same amount of the solution when titrated with methyl orange as an indicator required 25 mL of the same acid. The amount of KOH present in the solution is
  • a)
    0.014g                    
  • b)
    0.14g                     
  • c)
    0.028g                    
  • d)
    1,4 g
Correct answer is option 'A'. Can you explain this answer?
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A mixed solution of potassium hydroxide and sodium carbonate required ...
To determine the amount of potassium hydroxide (KOH) present in the mixed solution, we can use the concept of acid-base titration. In this case, we have two different indicators (phenolphthalein and methyl orange) that show different volumes of hydrochloric acid (HCl) required for the titration.

Given:
Volume of N/20 HCl solution required with phenolphthalein indicator = 15 mL
Volume of N/20 HCl solution required with methyl orange indicator = 25 mL

Step 1: Calculate the moles of HCl used in each titration:
Moles of HCl = Normality (N) x Volume (L)
For both titrations, the concentration of HCl is N/20 and the volume is given in mL, so we need to convert the volume to liters by dividing by 1000.

Moles of HCl with phenolphthalein = (N/20) x (15/1000)
Moles of HCl with methyl orange = (N/20) x (25/1000)

Step 2: Relate the moles of HCl to the moles of KOH:
The balanced chemical equation between KOH and HCl is:
KOH + HCl -> KCl + H2O

From the equation, we can see that 1 mole of KOH reacts with 1 mole of HCl.

Therefore, the moles of KOH in the mixed solution are equal to the moles of HCl used in the titration.

Step 3: Calculate the mass of KOH:
The molar mass of KOH is 56.1 g/mol.

Mass of KOH = Moles of KOH x Molar mass of KOH
Mass of KOH = Moles of HCl x Molar mass of KOH

Now, substitute the moles of HCl from Step 1 into the equation.

Mass of KOH with phenolphthalein = (N/20) x (15/1000) x 56.1
Mass of KOH with methyl orange = (N/20) x (25/1000) x 56.1

Step 4: Compare the masses:
According to the given information, the solution requires the same amount of KOH for both indicators. Therefore, the masses of KOH with phenolphthalein and methyl orange should be equal.

(N/20) x (15/1000) x 56.1 = (N/20) x (25/1000) x 56.1

Simplifying the equation:

15 = 25

This equation is not true, which means there is an error in the given information. Therefore, it is not possible to determine the amount of KOH present in the solution with the given data.
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A mixed solution of potassium hydroxide and sodium carbonate required 15 mL. of an N/20 HCI solution when titrated with phenolphthalein as an indicator. But the same amount of the solution when titrated with methyl orange as an indicator required 25 mL of the same acid. The amount of KOH present in the solution isa)0.014gb)0.14gc)0.028gd)1,4 gCorrect answer is option 'A'. Can you explain this answer?
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