# Answers to all problems are at the end of this book. Detailed solutions are available in the Student Solutions Manual, Study Guide, and Problems Book. The Dimensions of Eukaryotic Cells and Their Constituents Assume that liver cells are cuboidal in shape, 20 μm oil a side. (Section 1.5) How many liver cells laid end to end would fit across the diameter of a pinhead? (Assume a pinhead diameter of 0.5 mm) What is the volume of a liver cell? (Assume it is a cube.) What is the surface area of a liver cell? What is the surface-to- volume ratio of a liver cell? How does this compare to the surface-to-volume ratio of an E. coli cell (compare this answer with that of problem 3c)? What problems must cells with low surface-to-volume ratios confront that do not occur in cells with high surface-to-volume ratios? A human liver cell contains two sets of 23 chromosomes, each set being roughly equivalent in information content. The total mass of DNA contained in these 46 enormous DNA molecules is 4 × 10 12 Because each nucleotide pair contributes 660 daltons to the mass of DNA and 0.34 run to the length of DNA, what is the total number of nucleotide pairs and the complete length of the DNA in a liver cell? How does this length compare with the overall dimensions of a liver cell? The maximal information in each set of liver cell chromosomes should be related to the number of nucleotide pairs in the chromosome set's DNA. This number can be obtained by dividing the total number of nucleotide pairs just calculated by 2. What is this value? If this information is expressed in proteins that average 400 amino acids in length and three nucleotide pairs encode one amino acid in a protein, how many different kinds of proteins might a liver cell be able to produce? (In reality, liver cell DNA encodes approximately 20,000 different proteins. Thus a large discrepancy exists between the theoretical information content of DNA in liver cells and the amount of information actually expressed.)

### Biochemistry

6th Edition
Reginald H. Garrett + 1 other
Publisher: Cengage Learning
ISBN: 9781305577206

### Biochemistry

6th Edition
Reginald H. Garrett + 1 other
Publisher: Cengage Learning
ISBN: 9781305577206

#### Solutions

Chapter
Section
Chapter 1, Problem 11P
Textbook Problem
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## Answers to all problems are at the end of this book. Detailed solutions are available in the Student Solutions Manual, Study Guide, and Problems Book.The Dimensions of Eukaryotic Cells and Their Constituents Assume that liver cells are cuboidal in shape, 20 μm oil a side. (Section 1.5) How many liver cells laid end to end would fit across the diameter of a pinhead? (Assume a pinhead diameter of 0.5 mm) What is the volume of a liver cell? (Assume it is a cube.) What is the surface area of a liver cell? What is the surface-to- volume ratio of a liver cell? How does this compare to the surface-to-volume ratio of an E. coli cell (compare this answer with that of problem 3c)? What problems must cells with low surface-to-volume ratios confront that do not occur in cells with high surface-to-volume ratios? A human liver cell contains two sets of 23 chromosomes, each set being roughly equivalent in information content. The total mass of DNA contained in these 46 enormous DNA molecules is 4 × 1012 Because each nucleotide pair contributes 660 daltons to the mass of DNA and 0.34 run to the length of DNA, what is the total number of nucleotide pairs and the complete length of the DNA in a liver cell? How does this length compare with the overall dimensions of a liver cell? The maximal information in each set of liver cell chromosomes should be related to the number of nucleotide pairs in the chromosome set's DNA. This number can be obtained by dividing the total number of nucleotide pairs just calculated by 2. What is this value? If this information is expressed in proteins that average 400 amino acids in length and three nucleotide pairs encode one amino acid in a protein, how many different kinds of proteins might a liver cell be able to produce? (In reality, liver cell DNA encodes approximately 20,000 different proteins. Thus a large discrepancy exists between the theoretical information content of DNA in liver cells and the amount of information actually expressed.)

Expert Solution
Interpretation Introduction

To determine:

The number of liver cells fit across the diameter of the pinhead.

Introduction:

Liver cells are eukaryotic cells which carries 2 sets of 23 chromosomes just like other eukaryotic cells.

### Explanation of Solution

Given information:

Length of a liver cell side =20μm

Formula used:

Number of cells = Diameter of the pinhead/ Length of a liver cell

Calcula

Expert Solution
Interpretation Introduction

To determine:

The volume of a liver cell.

Introduction:

The volume of the liver cell can be calculated as follows:

Volume of a cell = (Length of a cell)3

Expert Solution
Interpretation Introduction

To determine:

The surface area of a liver cell, the surface to volume ratio of a liver cell and the surface to volume ratio of a liver cell to an E. coli.

The problems confronted by law surface to volume ratio cells which do not occur in high surface to volume ratio cells

Introduction:

Surface area of a cell = 6 ×Area of a side of the cell = 6 ×(Length of a cell)2

Surface to volume ratio of a cell = Surface area of a cell/ Volume of a cell

Expert Solution
Interpretation Introduction

(d)

To determine:

The total number of nucleotide pairs and the complete length of the DNA in a liver cell, and how this length is compared with the overall dimensions of a liver cell.

The maximal information content of liver cell and the number of different kinds of proteins that a liver cell might produce.

Introduction:

Number of nucleotide pairs = Total mass of DNA/ Mass of a nucleotide pair

Length of a DNA = Length of a nucleotide pair ×Number of nucleotide pairs

Length relative to liver cells = Length of DNA/ Length of a liver cell

Maximum information = Total number of nucleotide pairs/ 2

Number of amino acids = Number of nucleotide pairs/ 3

Number of proteins = Number of amino acids/ Average number of amino acids in a protein

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