Chapter 9: Q3P (page 208)

Neglecting activity coefficients, calculate the pH of $5.0 \times 10^{- 8} {MHCIO}_{4}$ What fraction of $H^{+}$ is derived from dissociation of water?

Short Answer

Expert verified

The pH value of $5.0 \times 10^{- 8} {MHCIO}_{4} = 6.89$

The fraction of $H^{+}$ derived from dissociation of water = 0.61

Step by step solution

Define pH

pH stands for Potential hydrogen. It is the symbol for the logarithm of the reciprocal of hydrogen ion concentration in gram atoms per litre, used to express the acidity and alkalinity of a solution on a scale of $0 to 14$

Step 2: Determining the charge balance and mass balance

Charge balance: $[H^{+}] = [{OH}^{- 1}] + [{CIO}_{4}^{-}] \Rightarrow [{OH}^{-}] = [H^{+}] - 5 \times 10^{- 8}$

mass balance = charge balance

$[H^{+}] [{OH}^{-}] = K_{w} [H^{+}] ([H^{+}] - 5 \times 10^{- 8}) - 1 \times 10^{14} [H^{+}] = 1.28 \times 10^{- 7}$

Calculating the pH value

Substituting the value of $H^{+}$ in the pH formula we get

$pH = - \log [H^{+}] = 6.89$

Calculating the fraction of total H+ from dissociation of water

$[{OH}^{-}] = K_{w} / [H^{+}] = 7.8 \times 10^{- 8} M$

Fraction of total $[H^{+}]$ from role="math" localid="1654777778226" $H_{2} O = \frac{7.8 \times 10^{- 8} M}{1.28 \times 10^{- 7} M} = 0.61$

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Neglecting activity coefficients, calculate the pH of $5.0 \times 10^{- 8} {MHCIO}_{4}$ What fraction of $H^{+}$ is derived from dissociation of water?

Short Answer

Step by step solution

Define pH

Step 2: Determining the charge balance and mass balance

Calculating the pH value

Calculating the fraction of total H+ from dissociation of water

One App. One Place for Learning.

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Neglecting activity coefficients, calculate the pH of5.0×10-8MHCIO4What fraction of H+is derived from dissociation of water?

Short Answer

Step by step solution

Define pH

Step 2: Determining the charge balance and mass balance

Calculating the pH value

Calculating the fraction of total H+ from dissociation of water

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Organic Chemistry

Ionic and Molecular Compounds

Physical Chemistry

Inorganic Chemistry

Chemical Reactions

Chemistry Branches

Study anywhere. Anytime. Across all devices.

Neglecting activity coefficients, calculate the pH of $5.0 \times 10^{- 8} {MHCIO}_{4}$ What fraction of $H^{+}$ is derived from dissociation of water?