The pH of 0.50 M HClO is 3.91. Calculate the change in pH when 1.73 g of NaClO (FW = 74.44 g/mol) is added to 40 mL of 0.50 M HClO (FW = 52.46 g/mol). Ignore any changes in volume. The Ka value for HClO is 3.0 x 10-8.

Respuesta :

Answer:

The value of change in pH is 3.71

Explanation:

Given:

The pH of HCIO = 3.91

Mole of NaCIO [tex]n_{1} = \frac{1.73}{74.44} = 0.0232[/tex]

Moles of HCIO [tex]n_{2} = \frac{0.5 \times 37}{1000} = 0.0185[/tex]

Value of Ka [tex]= 3 \times 10^{-8}[/tex]

The pH is given by,

  [tex]pH = -pKa + \log \frac{n_{1} }{n_{2} }[/tex]

  [tex]pH = -\log(3 \times 10^{-8} ) + \log \frac{0.0232}{0.0185}[/tex]

  [tex]pH = 7.62[/tex]

Now, the change in pH is given by,

[tex]\Delta pH = 7.62-3.91[/tex]

[tex]\Delta pH = 3.71[/tex]

Therefore, the value of change in pH is 3.71

The value of change in pH would be "3.71".

pH Value

According to the question,

pH of HCIO = 3.91

Mass of NaClO = 1.73 g

Value of Ka = 3 × 10⁻⁸

Now,

Moles of NaCIO will be:

→ n₁ = [tex]\frac{1.73}{74.44}[/tex]

      = 0.0232

Moles of HCIO will be:

→ n₂ = [tex]\frac{0.5\times 37}{1000}[/tex]

       = 0.0185

The pH will be:

→ pH = -pKa +log [tex]\frac{n_1}{n_2}[/tex]

        = -log (3 × 10⁻⁸) + log [tex]\frac{0.0232}{0.0185}[/tex]

        = 7.62

hence,

The change in pH will be:

→ ΔpH = 7.62 - 3.91

           = 3.71

Thus the above answer is appropriate.

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