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1.575 gm of oxalic acid (COOH)2. xH2O are dissolved in water and the volume made upto 250 ml. on titration 16.68 ml of this solution requires 25mL of N/15 NaOH solution for complete neutralization. Calculate x.
  • a)
    a
  • b)
    b
  • c)
    c
  • d)
    d
Correct answer is '2'. Can you explain this answer?
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1.575 gm of oxalic acid (COOH)2. xH2O are dissolved in water and the v...
Given:
- Mass of oxalic acid (COOH)2 = 1.575 gm
- Volume of solution = 250 ml
- Volume of NaOH solution required for neutralization = 25 ml
- Concentration of NaOH solution = N/15

Calculations:

Step 1: Calculate the molarity of oxalic acid solution
Molarity (M) = (moles of solute) / (volume of solution in liters)

First, we need to calculate the moles of oxalic acid (COOH)2. The molar mass of oxalic acid is:
C = 12.01 g/mol
O = 16.00 g/mol
H = 1.01 g/mol

Molar mass of (COOH)2 = (12.01 * 2) + (16.00 * 2) + (1.01 * 4) = 90.04 g/mol

Moles of oxalic acid (COOH)2 = (mass of solute) / (molar mass) = 1.575 / 90.04 = 0.0175 mol

Now, we need to calculate the volume in liters:
Volume of solution = 250 ml = 0.25 L

Molarity of oxalic acid solution = 0.0175 mol / 0.25 L = 0.07 M

Step 2: Calculate the moles of NaOH
Moles of NaOH = (molarity of NaOH) * (volume of NaOH solution in liters)

Since the concentration of NaOH solution is given as N/15, we need to convert it to molarity:
1 N = 1 mol/L
N/15 = (1/15) mol/L

Moles of NaOH = (1/15) mol/L * 0.025 L = 0.00167 mol

Step 3: Calculate the moles of oxalic acid reacting with NaOH
From the balanced chemical equation, we can see that 1 mole of oxalic acid (COOH)2 reacts with 2 moles of NaOH:

(COOH)2 + 2NaOH -> Na2C2O4 + 2H2O

Therefore, moles of oxalic acid reacting with NaOH = 2 * 0.00167 = 0.00334 mol

Step 4: Calculate the moles of water in the oxalic acid
Moles of water = moles of oxalic acid - moles of oxalic acid reacting with NaOH
Moles of water = 0.0175 - 0.00334 = 0.01416 mol

Step 5: Calculate the value of x
From the formula of oxalic acid (COOH)2.xH2O, we know that 1 mole of oxalic acid is associated with x moles of water.

Therefore, x = (moles of water) / (moles of oxalic acid) = 0.01416 / 0.0175 = 0.81

The value of x is approximately 0.81, which corresponds to option 2.
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1.575 gm of oxalic acid (COOH)2. xH2O are dissolved in water and the volume made upto 250 ml. on titration 16.68 ml of this solution requires 25mL of N/15 NaOH solution for complete neutralization. Calculate x.a)ab)bc)cd)dCorrect answer is '2'. Can you explain this answer?
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