Chapter 9: Q19P (page 209)

Find the pH and fraction of association $(α)$ of a 0.100Msolution of the weak base B with $K_{b} = 1.00 \times 10^{- 5}$ .

Short Answer

Expert verified

pH = 11.00; $α = 9.95 \times 10^{- 3}$

Step by step solution

Definition of pH

The pH is the quantitative measure of acidity or basicity of liquid solutions.

Find the value of x for the weak base

We will consider the following,

$[B] = 0.1 - x [OH] = [{BH}^{+}] = x$

First, we will calculate the value ofas follows:

$k_{b} = \frac{x^{2}}{0.1 - x} 1.00 \times 10^{- 5} = \frac{x^{2}}{0.1 - x} x = 9.95 \times 10^{4} M$

Finding the pH value and fraction of association

Next, we will calculate the pH value of the solution and the fraction of association.

$pOH = - logx = - \log (9.95 \times 10^{4}) = 3.00 pH = 14 - 3.00 = 11.00$

$α = x / F = (9.95 \times 10^{4}) / 0.1 = 9.95 \times 10^{- 3}$

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Find the pH and fraction of association $(α)$ of a 0.100Msolution of the weak base B with $K_{b} = 1.00 \times 10^{- 5}$ .

Short Answer

Step by step solution

Definition of pH

Find the value of x for the weak base

Finding the pH value and fraction of association

One App. One Place for Learning.

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Find the pH and fraction of association(α)of a 0.100Msolution of the weak base B withKb=1.00×10-5.

Short Answer

Step by step solution

Definition of pH

Find the value of x for the weak base

Finding the pH value and fraction of association

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Chemical Reactions

Kinetics

Organic Chemistry

Making Measurements

Physical Chemistry

Nuclear Chemistry

Study anywhere. Anytime. Across all devices.

Find the pH and fraction of association $(α)$ of a 0.100Msolution of the weak base B with $K_{b} = 1.00 \times 10^{- 5}$ .