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Calculate the number of phosphodiester bonds and hydrogen bonds in a 100 base pair dsDNA molecule where 40% of the bases are Guanine.

Biology

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Answer

A

Step-by-step solution

2 steps

To solve this problem, we need to calculate the number of phosphodiester bonds and hydrogen bonds separately.

  1. Calculate the total number of phosphodiester bonds.

    A dsDNA molecule with 100 base pairs means it has two strands, and each strand contains 100 nucleotides.
    In a linear DNA strand with nn nucleotides, there are n−1n-1 phosphodiester bonds.
    For each strand:
    Number of phosphodiester bonds per strand = 100−1=99100 - 1 = 99 bonds.
    Since there are two strands in a dsDNA molecule:
    Total phosphodiester bonds = 99 (strand 1)+99 (strand 2)=19899 \text{ (strand 1)} + 99 \text{ (strand 2)} = 198 bonds.

  2. Calculate the total number of hydrogen bonds.

    The dsDNA molecule has 100 base pairs, which means a total of 100×2=200100 \times 2 = 200 bases.
    We are given that 40% of the bases are Guanine (G).
    Number of Guanine (G) bases = 0.40×200=800.40 \times 200 = 80 bases.
    According to Chargaff's rules, in dsDNA, the number of Guanine (G) bases equals the number of Cytosine (C) bases.
    Number of Cytosine (C) bases = 80 bases.
    Total G and C bases = 80+80=16080 + 80 = 160 bases.
    The remaining bases are Adenine (A) and Thymine (T).
    Number of A and T bases = Total bases - (G + C) bases = 200−160=40200 - 160 = 40 bases.
    Since the number of Adenine (A) bases equals the number of Thymine (T) bases:
    Number of Adenine (A) bases = 40/2=2040 / 2 = 20 bases.
    Number of Thymine (T) bases = 40/2=2040 / 2 = 20 bases.

    Now, we calculate the hydrogen bonds:

    • Guanine (G) forms 3 hydrogen bonds with Cytosine (C).
    • Adenine (A) forms 2 hydrogen bonds with Thymine (T).

    Hydrogen bonds from G-C pairs = Number of G bases ×\times 3 = 80×3=24080 \times 3 = 240 hydrogen bonds.
    Hydrogen bonds from A-T pairs = Number of A bases ×\times 2 = 20×2=4020 \times 2 = 40 hydrogen bonds.
    Total hydrogen bonds = 240+40=280240 + 40 = 280 hydrogen bonds.

    Therefore, the total number of phosphodiester bonds is 198, and the total number of hydrogen bonds is 280.

    Comparing this with the given options:
    A) 198 and 280
    B) 198 and 240
    C) 200 and 280
    D) 200 and 240

    The correct option is A.

    The final answer is A) 198 and 280\boxed{\text{A) 198 and 280}}

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