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The complete neutralisation of 25.00cm of 0.200M Sodium Hydroxide solution requires 25.00cm of Sulphuric acid solution. Concentration of the acid is 0.05M. Calculate the molarity of the acid.

Chemistry

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2 parts
b

0.125 M\text{0.125 M}

a

12.3 g/dm3\text{12.3 g/dm}^3

Step-by-step solution

5 steps

Hapa kuna suluhisho la tatizo lako:

Kwanza, tuandike mlinganyo wa kemikali uliosawazishwa wa mmenyuko wa neutralization:

2NaOH(aq)+H2SO4(aq)→Na2SO4(aq)+2H2O(l)2\text{NaOH(aq)} + \text{H}_2\text{SO}_4\text{(aq)} \to \text{Na}_2\text{SO}_4\text{(aq)} + 2\text{H}_2\text{O(l)}

Kutoka kwa mlinganyo, uwiano wa moli wa NaOH kwa H₂SO₄ ni 2:12:1.

Part b· 3 steps

Molarity ya asidi (H₂SO₄)

  1. Kokotoa moli za hidroksidi ya sodiamu (NaOH).

    Molarity ya NaOH (MbM_b) = 0.200 M0.200 \text{ M}
    Volume ya NaOH (VbV_b) = 25.00 cm3=0.02500 dm325.00 \text{ cm}^3 = 0.02500 \text{ dm}^3

    Moli za NaOH=Mb×Vb=0.200 mol/dm3×0.02500 dm3=0.00500 mol\text{Moli za NaOH} = M_b \times V_b = 0.200 \text{ mol/dm}^3 \times 0.02500 \text{ dm}^3 = 0.00500 \text{ mol}
  2. Tumia uwiano wa moli kukokotoa moli za asidi ya salfa (H₂SO₄).

    Kutoka kwa mlinganyo, moli 2 za NaOH humenyuka na moli 1 ya H₂SO₄.

    Moli za H2SO4=Moli za NaOH×12=0.00500 mol×12=0.00250 mol\text{Moli za H}_2\text{SO}_4 = \text{Moli za NaOH} \times \frac{1}{2} = 0.00500 \text{ mol} \times \frac{1}{2} = 0.00250 \text{ mol}
  3. Kokotoa molarity ya asidi ya salfa (H₂SO₄).

    Volume ya H₂SO₄ (VaV_a) = 20.00 cm3=0.02000 dm320.00 \text{ cm}^3 = 0.02000 \text{ dm}^3

    Molarity ya H2SO4(Ma)=Moli za H2SO4Va=0.00250 mol0.02000 dm3=0.125 M\text{Molarity ya H}_2\text{SO}_4 (M_a) = \frac{\text{Moli za H}_2\text{SO}_4}{V_a} = \frac{0.00250 \text{ mol}}{0.02000 \text{ dm}^3} = 0.125 \text{ M}

    Molarity ya asidi ni 0.125 M\boxed{\text{0.125 M}}.

Part a

12.3 g/dm3\text{12.3 g/dm}^3

Concentration ya asidi katika gdm⁻³

  1. Kokotoa masi ya mola ya H₂SO₄.

    Masi za atomiki: H = 1.008 g/mol1.008 \text{ g/mol}, S = 32.07 g/mol32.07 \text{ g/mol}, O = 16.00 g/mol16.00 \text{ g/mol}

    Masi ya mola ya H2SO4=(2×1.008)+32.07+(4×16.00)=2.016+32.07+64.00=98.086 g/mol\text{Masi ya mola ya H}_2\text{SO}_4 = (2 \times 1.008) + 32.07 + (4 \times 16.00) = 2.016 + 32.07 + 64.00 = 98.086 \text{ g/mol}
  2. Badilisha molarity kuwa concentration katika gdm⁻³.

    Concentration (g/dm3)=Molarity (mol/dm3)×Masi ya mola (g/mol)\text{Concentration (g/dm}^3) = \text{Molarity (mol/dm}^3) \times \text{Masi ya mola (g/mol)} Concentration=0.125 mol/dm3×98.086 g/mol=12.26075 g/dm3\text{Concentration} = 0.125 \text{ mol/dm}^3 \times 98.086 \text{ g/mol} = 12.26075 \text{ g/dm}^3

    Kuzungusha hadi tarakimu muhimu tatu:

    Concentration=12.3 g/dm3\text{Concentration} = 12.3 \text{ g/dm}^3

    Concentration ya asidi katika gdm⁻³ ni 12.3 g/dm3\boxed{\text{12.3 g/dm}^3}.

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