/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 89 Write the sequence of all possib... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 22: Problem 89

Write the sequence of all possible tetrapeptides composed of the following amino acids. a. two phenylalanines and two glycines b. two phenylalanines, glycine, and alanine

Short Answer

Expert verified
The possible tetrapeptide sequences are: a. Two phenylalanines (F) and two glycines (G): 1. FFGG, 2. FGFG, 3. FGGF, 4. GFFG, 5. GFGF, 6. GGFF b. Two phenylalanines (F), one glycine (G), and one alanine (A): 1. FFGA, 2. FFAg, 3. FGFA, 4. FGAF, 5. FAGF, 6. FAFG, 7. GFFA, 8. GFAF, 9. GFAG, 10. AGFF, 11. AGFA, 12. AFGF

Step by step solution

01

Understand the formula for permutations with repetitions

Due to the repetitions of two phenylalanines and two glycines, we can use the formula for permutations with repetitions: \(P(n_1, n_2, ..., n_k) = \frac{n!}{n_1! n_2! ... n_k!}\), where n is the total number of items, and \(n_1, n_2, ..., n_k\) are the numbers of each item being repeated. In this case, n = 4 (since there are 4 amino acids), and there are two repetitions of phenylalanines (F) and glycines (G), so \(n_1 = n_2 = 2\).
02

Calculate the number of possible permutations

Using the formula, we can calculate the possible permutations as follows: \(P(2,2) = \frac{4!}{2!2!} = \frac{24}{2 \times 2} = 6\) This shows that there are 6 possible tetrapeptide sequences composed of two phenylalanines and two glycines.
03

Write out the sequences

Here are the six possible sequences for a tetrapeptide composed of two phenylalanines and two glycines: 1. FFGG 2. FGFG 3. FGGF 4. GFFG 5. GFGF 6. GGFF #b. Two phenylalanines (F), one glycine (G), and one alanine (A)#
04

Understand the formula for permutations without repetitions

Due to the use of distinct amino acids with no repetition, we can use the factorial formula for permutations without repetitions: \(n! = n \times (n-1) \times (n-2) \times ... \times 2 \times 1\) In this case, n = 4 (since there are 4 amino acids).
05

Calculate the number of possible permutations

Using the factorial formula, we can calculate the possible permutations as follows: \(4! = 4 \times 3 \times 2 \times 1 = 24\) However, we have two phenylalanines in our sequence. So, we need to divide the number of permutations by the number of times phenylalanines is repeated, which is 2. This will give us the number of possible tetrapeptides composed of two phenylalanines, one glycine, and one alanine. \(\frac{24}{2} = 12\) This shows that there are 12 possible tetrapeptide sequences composed of two phenylalanines, one glycine, and one alanine.
06

Write out the sequences

Here are the twelve possible sequences for a tetrapeptide composed of two phenylalanines (F), one glycine (G), and one alanine (A): 1. FFGA 2. FFAg 3. FGFA 4. FGAF 5. FAGF 6. FAFG 7. GFFA 8. GFAF 9. GFAG 10. AGFF 11. AGFA 12. AFGF

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

How many different pentapeptides can be formed using five different amino acids?

Polychlorinated dibenzo- \(p\) -dioxins (PCDDs) are highly toxic substances that are present in trace amounts as by-products of some chemical manufacturing processes. They have been implicated in a number of environmental incidents- for example, the chemical contamination at Love Canal and the herbicide spraying The most toxic \(\mathrm{PCDD}\) is \(2,3,7,8\) -tetrachloro-dibenzo- \(p\) -dioxin. Draw the structure of this compound. Also draw the structures of two other isomers containing four chlorine atoms.

Alcohols are very useful starting materials for the production of many different compounds. The following conversions, starting with 1-butanol, can be carried out in two or more steps. Show the steps (reactants/catalysts) you would follow to carry out the conversions, drawing the formula for the organic product in each step. For each step, a major product must be produced. See Exercise 62. (Hint: In the presence of \(\mathrm{H}^{+}\), an alcohol is converted into an alkene and water. This is the exact reverse of the reaction of adding water to an alkene to form an alcohol.) a. 1 -butanol \(\longrightarrow\) butane b. 1-butanol \(\longrightarrow 2\) -butanone

Why is glycine not optically active?

Ethylene oxide, is an important industrial chemical. Although most ethers are unreactive, ethylene oxide is quite reactive. It resembles \(\mathrm{C}_{2} \mathrm{H}_{4}\) in its reactions in that addition reactions occur across the \(\mathrm{C}-\mathrm{O}\) bond in ethylene oxide. a. Why is ethylene oxide so reactive? (Hint: Consider the bond angles in ethylene oxide as compared with those predicted by the VSEPR model.) b. Ethylene oxide undergoes addition polymerization, forming a polymer used in many applications requiring a nonionic surfactant. Draw the structure of this polymer.
See all solutions

Recommended explanations on Chemistry Textbooks

Making Measurements

Read Explanation

The Earths Atmosphere

Read Explanation

Chemical Reactions

Read Explanation

Nuclear Chemistry

Read Explanation

Organic Chemistry

Read Explanation

Ionic and Molecular Compounds

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.