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The pH of a solution obtained by mixing 100 cm³ of 0.1 M HCl solution with 100 cm³ of 0.2 M NaOH solution is

Chemistry

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Answer

12.7

Step-by-step solution

7 steps
  1. Moles of HCl

    Moles = concentration × volume

    Moles of HCl=0.1 mol/dm3×0.1 dm3=0.01 mol\text{Moles of HCl} = 0.1~\text{mol/dm}^3 \times 0.1~\text{dm}^3 = 0.01~\text{mol}
  2. Moles of NaOH

    Moles = concentration × volume

    Moles of NaOH=0.2 mol/dm3×0.1 dm3=0.02 mol\text{Moles of NaOH} = 0.2~\text{mol/dm}^3 \times 0.1~\text{dm}^3 = 0.02~\text{mol}
  3. Excess OH⁻

    NaOH is in excess, so excess moles of OH⁻ = moles NaOH - moles HCl

    0.02 mol−0.01 mol=0.01 mol0.02~\text{mol} - 0.01~\text{mol} = 0.01~\text{mol}
  4. Total volume of solution

    100 cm3+100 cm3=200 cm3=0.2 dm3100~\text{cm}^3 + 100~\text{cm}^3 = 200~\text{cm}^3 = 0.2~\text{dm}^3
  5. Concentration of OH⁻

    [OH−]=0.01 mol0.2 dm3=0.05 mol/dm3[\text{OH}^-] = \frac{0.01~\text{mol}}{0.2~\text{dm}^3} = 0.05~\text{mol/dm}^3
  6. pOH

    pOH=−log⁡10(0.05)\text{pOH} = -\log_{10} (0.05) 0.05=5×10−20.05 = 5 \times 10^{-2} log⁡10(5×10−2)=log⁡105+log⁡10(10−2)=0.6990−2=−1.3010\log_{10} (5 \times 10^{-2}) = \log_{10} 5 + \log_{10} (10^{-2}) = 0.6990 - 2 = -1.3010 pOH=−(−1.3010)=1.3010≈1.3\text{pOH} = -(-1.3010) = 1.3010 \approx 1.3
  7. pH

    At 25°C, pH+pOH=14\text{pH} + \text{pOH} = 14

    pH=14−1.3=12.7\text{pH} = 14 - 1.3 = 12.7

    Final answer: 12.7

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