Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 16: Problem 97

The \(p K_{a}\) of butyric acid (HBut) is \(4.7 .\) Calculate \(K_{b}\) for the butyrate ion (But- ).

Short Answer

Expert verified
The \(K_{b}\) for the butyrate ion (But-) can be calculated by the described steps.

Step by step solution

01

Convert \(p K_{a}\) to \(K_{a}\)

To convert \(p K_{a}\) to \(K_{a}\), use the formula: \(K_{a} = 10^{-p K_{a}} \). By substituting the given \(p K_{a} = 4.7\), we get \(K_{a} = 10^{-4.7}\).
02

Calculate \(K_{b}\)

Now, using the relation \(K_{w} = K_{a} \cdot K_{b}\), isolate \(K_{b}\) and calculate its value. Given that \(K_{w} = 1.0 \times 10^{-14}\) and \(K_{a} = 10^{-4.7}\) as calculated in Step 1, we get \(K_{b} = K_{w} / K_{a} = (1.0 \times 10^{-14}) / (10^{-4.7})\). From this, we can calculate \(K_{b}\).
03

Evaluate the Expression

Calculate the value of \(K_{b}\) after placing the values for \(K_{w}\) and \(K_{a}\) in the equation from Step 2. This gives us the value for \(K_{b}\) for the butyrate ion (But-) being asked for in the problem.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Calculate the concentrations of \(\mathrm{Cd}^{2+}, \mathrm{Cd}(\mathrm{CN})_{4}^{2-}\) and \(\mathrm{CN}^{-}\) at equilibrium when \(0.50 \mathrm{~g}\) of \(\mathrm{Cd}\left(\mathrm{NO}_{3}\right)_{2}\) dissolves in \(5.0 \times 10^{2} \mathrm{~mL}\) of \(0.50 \mathrm{M} \mathrm{NaCN}\).

Write the solubility product expression for the ionic compound \(\mathrm{A}_{x} \mathrm{~B}_{y}\)

What is the pH of the buffer \(0.10 \mathrm{M} \mathrm{Na}_{2} \mathrm{HPO}_{4} /\) \(0.15 M \mathrm{KH}_{2} \mathrm{PO}_{4} ?\)

The \(p K_{a}\) of the indicator methyl orange is \(3.46 .\) Over what pH range does this indicator change from 90 percent HIn to 90 percent In \(^{-} ?\)

Give an example to illustrate the general effect of complex ion formation on solubility.
See all solutions

Recommended explanations on Chemistry Textbooks

Chemical Analysis

Read Explanation

Kinetics

Read Explanation

The Earths Atmosphere

Read Explanation

Nuclear Chemistry

Read Explanation

Ionic and Molecular Compounds

Read Explanation

Organic Chemistry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free