   Chapter 24, Problem 32GQ

Chapter
Section
Textbook Problem

There are 41 = 4 mononucleotides of DNA, there are 42 = 16 possible dinucleotides, and so on. If a segment of DNA were completely random, how many nucleotides long would it need to be in order to have one possible sequence for each person on Earth (currently about 7.5 billion people)?

Interpretation Introduction

Interpretation:

The number of nucleotide present in a segment of DNA in order to have a one possible sequence for each person on earth (currently 7.5 billion people on earth) has to be identified.

Concept introduction: Nucleotide is made up of three parts: a phosphate group,a five carbon sugar and a nitrogenous base.The four nitrogenous base in DNA are Adenine, guanine, cytosine and thymine.

Mononucleotide: A nucleotide consists of one molecule of phosphorous, a ribose sugar and either a purine or pyrimidine base.

Dinucleotide: A nucleotide consisting of two unit each composed of a phosphate, a ribose sugar and a nitrogenous base.

Explanation

For mononucelotide, 41= 4

For dinucleotide, 42=16

Number of nucleotide present in a segment of DNA in order to have one possible sequence for each person on earth (currently 7.5 billion people on earth) is shown below:-

Let x be the number of nucleotide.

4x=7.5×109

Take logarithm on both sides,

log4x=log7

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