Respuesta :
Answer:
7.623 x 10⁻³ mol OH⁻
Explanation:
The reaction that takes place is:
- H₂SO₄ + 2KOH → K₂SO₄ + 2H₂O
Now we calculate how many moles of each reagent were added:
- H₂SO₄ ⇒ 22.63 mL * 0.142 M = 3.213 mmol H₂SO₄
- KOH ⇒ 46.21 mL * 0.304 M = 14.05 mmol KOH
We calculate how many OH⁻ moles reacted with H₂SO₄:
- 3.213 mmol H₂SO₄ * [tex]\frac{2mmolOH^-}{1mmolH_2SO_4}[/tex] = 6.427 mmol OH⁻
Finally we substract the OH⁻ moles that reacted from the added ammount of OH⁻ moles:
- 14.05 mmol KOH - 6.427 mmol OH⁻ = 7.623 mmol OH⁻
- 7.623 mmol / 1000 = 7.623 x 10⁻³ mol OH⁻
The number of moles of OH⁻ that are unreacted in the solution after the neutralization reaction is complete is 0.00770 moles OR 7.70×10⁻³ moles
First, we will write a balanced chemical equation for the neutralization reaction
The balanced chemical equation for the neutralization reaction is
H₂SO₄ + 2KOH → K₂SO₄ + 2H₂O
This means
1 mole of H₂SO₄ reacts with 2 moles of KOH to give 1 mole of K₂SO₄ and 2 moles of H₂O
To determine the number of moles of OH⁻ that are unreacted after the neutralization is complete,
We will determine the number of moles of KOH remaining in the solution after the neutralization reaction is complete
First, we will determine the number of moles of each reactant present
- For H₂SO₄
Volume = 22.36 mL = 0.02236 L
Concentration = 0.142 M
From the formula,
Number of moles = Concentration × Volume
∴ Number of moles of H₂SO₄ = 0.142 × 0.02236
Number of moles of H₂SO₄ = 0.00317512 moles
- For KOH
Volume = 46.21 mL = 0.04621 L
Concentration = 0.304 M
∴ Number of moles of KOH = 0.304 × 0.04621
Number of moles of KOH = 0.01404784 moles
(NOTE: This is equal to the number of moles of OH⁻ at the beginning of the reaction)
From the equation of reaction, we have that
1 mole of H₂SO₄ will neutralize 2 moles KOH
Therefore,
0.00317512 moles of H₂SO₄ will neutralize 2×0.00317512 moles KOH
2×0.00317512 = 0.00635024 moles
This means only 0.00635024 moles of KOH reacted
(NOTE: This is equal to the number of moles of OH⁻ that reacted)
Now, for the number of moles of unreacted OH⁻
Number of moles of unreacted OH⁻ = Total number of moles OH⁻ at the beginning of the reaction - Number of moles of OH⁻ that reacted
∴ Number of moles of unreacted OH⁻ = 0.01404784 moles - 0.00635024 moles
Number of moles of unreacted OH⁻ = 0.0076976 moles
Number of moles of unreacted OH⁻ ≅ 0.00770 moles OR 7.70×10⁻³ moles
Hence, the number of moles of OH⁻ that are unreacted in the solution after the neutralization is complete is 0.00770 moles OR 7.70×10⁻³ moles
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