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If one synthesized every possible DNA molecule, each with 20 subunits, how much would your collection of molecules weigh? The average molecular mass of a DNA subunit is 165 g mol−1.

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Answer:

The total mass is 6.03 × 10⁻⁹ g

Explanation:

There are 4 nucleobases that can take the place of each subunit: adenine,  guanine, cytosine and thymine. If each DNA molecule has 20 subunits there are 4²⁰ possible combinations. The total mass is:

[tex]4^{20} molecules \times \frac{20subunits}{1molecule}  \times \frac{1mol of subunits}{6.02 \times 10^{23}subunits } \times \frac{165g}{1mol of subunits} =6.03 \times 10^{-9} g[/tex]