Final answer:
To determine the amount of a 1000 bp insert in picomoles/μL with a known concentration of 3 ng/μL, the molecular weight of the DNA in g/mol and the conversion factors for ng to g and mol to pmol are used, resulting in approximately 4.545 picomoles/μL.
Step-by-step explanation:
To calculate the number of picomoles per microliter (μL) of a 1000 base pair (bp) DNA insert with a concentration of 3 nanograms per microliter (ng/μL), we need to take into account the average molecular weight of a base pair of DNA, which is 660 g/mol.
Since we have 3 ng/μL and need to convert nanograms to picomoles, we'll use the conversion factors where 1 gram is 109 nanograms, and 1 mole is 1012 picomoles.
The molecular weight of the 1000 bp insert is 1000 bp * 660 g/mol = 660,000 g/mol.
Converting 3 ng of the 1000 bp insert to grams:
3 ng * (1 g / 109 ng) = 3 x 10-9 g.
Now, to find the number of moles:
3 x 10-9 g / 660,000 g/mol = 4.545454545 x 10-15 mol.
Eventually, to get the number of picomoles:
4.545454545 x 10-15 mol * 1012 pmol/mol = 4.545 picomoles/μL.