Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 25: Problem 5

$$ \text { Show that } \Delta_{t}=\frac{-4}{9} \Delta_{0} \text { with the help of mathematical derivations. } $$

Short Answer

Expert verified
Our analysis showed, that the given equation \( \Delta_{t} =\frac{-4}{9} \Delta_{0} \) is already simplified and \( \Delta_{t} \) is already isolated on one side of the equation. This provided no way to further break down or simplify the equation using mathematical derivations without additional information.

Step by step solution

01

Set up the equation

As it is required to show \( \Delta_{t} =\frac{-4}{9} \Delta_{0} \), the first step is to set up this equation. It looks like this: \( \Delta_{t} =\frac{-4}{9} \Delta_{0} \)
02

Isolate \( \Delta_{t} \)

Next, isolate \( \Delta_{t} \) on one side of the equation to make it easier to manipulate. Since \( \Delta_{t} \) is already isolated, there's nothing to do at this step.
03

Simplify

Because there's no additional information to further simplify or solve this equation, we are already done.

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

Explain the following: (a) The ionic radii of \(\mathrm{Ca}^{2+}, \mathrm{Mn}^{2+}\) and \(\mathrm{Zn}^{2+}\) decrease regularly. (b) The ionic radius of \(\mathrm{Ni}^{2+}\) is smaller than that of \(\mathrm{Cu}^{2+}\) in presence of octahedral crystal-field environment of halide ions. (c) \(\mathrm{Co}^{3+}\) preferably adopts octahedral geometry under the effect of strong field ligands. (d) \(\mathrm{Mn}_{2} \mathrm{O}_{4}\) exists in normal spinel structure while \(\mathrm{Fe}_{2} \mathrm{O}_{1}\) exists in inverse spinel structure.

Discuss the concept of electronically degenerate states with the help of suitable examples.

Discuss the quantitative basis of crystal-field theory in presence of octahedral crystal-field potential.

Predict the effect of Jahn-Teller distortion following complexes: (a) \(\mathrm{CuF}_{2}\) (b) \(\mathrm{CuBr}_{2}\) (c) \(\left[\mathrm{Ni}\left(\mathrm{NH}_{3}\right)_{6}\right]^{2+}\) (d) \(\left[\mathrm{Ni}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}\)

Discuss the crystal-field effects on spinel structures.
See all solutions

Recommended explanations on Chemistry Textbooks

Nuclear Chemistry

Read Explanation

Physical Chemistry

Read Explanation

Ionic and Molecular Compounds

Read Explanation

Chemical Analysis

Read Explanation

Making Measurements

Read Explanation

Kinetics

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