Respuesta :
The concentration of 20.0 mL H2SO4 solution that requires 22.87 mL of a 0.158 M KOH solution to reach equivalence point is 0.0904 M. or 0.0904 moles/L
Further Explanation:
Molarity
- Molarity may be defined as the concentration of a solution in moles per liter. It is calculated by dividing the number of moles of a solution, n by its volume in liters, V.
- That is; Molarity = n/V, where n is the number of moles and V is the volume in liters.
- Therefore; when given the molarity of a solution and the volume of the solution, then we can get the number of moles, by multiplying the molarity by volume;
- Number of moles = Molarity x Volume
- Additionally, the number of moles of a compound or an element can also be calculated by dividing the mass of the compound by its relative molecular mass.
In the question given;
The equation for the reaction is:
H2SO4 + 2KOH = K2SO4 + 2H2O
Step 1: Moles of KOH
Number of moles = Molarity x Volume
Molarity of KOH is 0.158 M
Volume of KOH is 22.87 mL or 0.02287 L
Therefore;
Number of moles = 0.158 M x 0.02287 mL
= 0.003613 Moles of KOH
Step 2: Moles of H2SO4
Mole ratio; from the equation, 1 mole of H2SO4 requires 2 moles of KOH
Therefore;
0.003613 moles of KOH requires
= 0.003613/2
= 0.001807 Moles
Step 3: Molarity of H2SO4
Molarity = Number of moles / Volume
Number of moles = 0.001807 moles
Volume = 20 mL or 0.020 L
Therefore;
Concentration = 0.001807/ 0.020
= 0.0904 M
Hence, the concentration of the acid, H2SO4 was 0.0904 M or 0.0904 moles/L
Keywords: Molarity, Moles, Volume
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Level: High School
Subject: Chemistry
Chapter: Mole and stoichiometry equations
The concentration of the unknown H₂SO₄ solution is 0.09 M
Balanced equation
H₂SO₄ + 2KOH —> K₂SO₄ + 2H₂O
From the balanced equation above,
- The mole ratio of the acid, H₂SO₄ (nA) = 1
- The mole ratio of the base, KOH (nB) = 2
How to determine the concentration of H₂SO₄
- Volume of acid, H₂SO₄ (Va) = 20 mL
- Volume of base, KOH (Vb) = 22.87 mL
- Concentration of base, KOH (Cb) = 0.158 M
- Concentration of acid, H₂SO₄ (Ca) =?
CaVa / CbVb = nA / nB
(Ca × 20) / (0.158 × 22.87) = 1 / 2
(Ca × 20) / 3.61346 = 1 / 2
Cross multiply
Ca × 20 × 2 = 3.61346
Ca × 40 = 3.61346
Divide both side by 40
Ca = 3.61346 / 40
Ca = 0.09 M
Thus, the concentration of the H₂SO₄ solution is 0.09 M
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