Solution A is 0.1mol/dm² HCI and solution B contains 5g of Impure NaOH in one liter. The average volume of acid

used to neutralize 25cm^{3} the base was determined to be 20.50~cm^{3}

Answers

Answered by GPT 3.5
To find the concentration of solution B, we need to determine the number of moles of NaOH in the 5g sample.

The molar mass of NaOH is 23 + 16 + 1 = 40 g/mol.
Therefore, the number of moles of NaOH is 5g / 40 g/mol = 0.125 mol.

Since the volume of solution B is 1 liter, the concentration of NaOH in solution B is 0.125 mol/1 L = 0.125 mol/L.

Now we can calculate the number of moles of HCl used to neutralize the NaOH in 25 cm^3 of solution B.

The average volume of HCl used to neutralize the base is 20.50 cm^3.
Since the concentration of solution A is 0.1 mol/dm^3, the number of moles of HCl used is (20.50 cm^3 / 1000 cm^3/dm^3) * 0.1 mol/dm^3 = 0.00205 mol.

Since the reaction between HCl and NaOH is 1:1, we know that 0.00205 mol of HCl neutralizes 0.00205 mol of NaOH.

To find the volume of HCl that would neutralize 0.00205 mol of NaOH, we can use the proportion:

(0.125 mol NaOH / 0.00205 mol NaOH) * 25 cm^3 = 1524.39 cm^3

Therefore, the average volume of HCl needed to neutralize 25 cm^3 of solution B is approximately 1524.39 cm^3.

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