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You found that a diluted sample contained 2.3 ng mL^-1 nucleic acid by measuring

ID: 481515 • Letter: Y

Question

You found that a diluted sample contained 2.3 ng mL^-1 nucleic acid by measuring the A_260 of a 1:200 dilution. How much nucleic acid was in the original solution? A 150 mu L solution of RNA (1250 mu g mL^-1) must be diluted prior to analysis on an agrees gel. Two dilutions of the original solution at 1.0 mu g mu L^-1 and 0.10 mu g mu L^-1 are typically run together on the same gel. An aliquot of 10.0 mu L at each dilution is added to 2.0 mu L of 6X gel loading buffer. Show calculations for the preparation of these samples. Keep in mind that you want to preserve as much of the original solution as possible.

Explanation / Answer

Ans. 1. Given, concentration of diluted sample = 2.3 ng mL-1

                        Dilution factor = 1: 200

concentration of original sample = concentration of diluted sample / dilution factor

                                    = (2.3 ng mL-1) / (1/200)

                                    = 4.6 x 102 ng mL-1                                         ; [1 ng = 10-3 µg]

                                    = 0.46 µg mL-1          

Ans. 2. Concentration of stock solution = 1250 µg/ mL

                                                                 = 1250 µg/ 1000 µL           ; [1 mL = 1000 µL]

                                                                 = 1.250 µg/ µL

Concentration of first desired solution = 1.0 µg/ µL

            Dilution factor required = desired concentration / concentration of stock solution

                                                            = (1.0 µg/ µL) / (1.250 µg/ µL)

                                                            = 1: 1.250

That is, when 1 µL of stock solution (1.250 µg/ µL) is diluted to 1.250 µL, the concertation of resultant desired solution becomes 1.250 µg/ µL. Consider it as follow-

            Amount of RNA in 1.0 µL stock solution = 1.250 µg

Final volume of the desired solution = 1.250 µL

            Concertation of desired solution = Mass of RNA / volume of final solution

                                                                        = 1.250 µg / 1.250 µL

                                                                        = 1.0 µg/ µL

So, the required dilution for our 1st desired solution = 1: 1.250

Volume of stock solution to be diluted = 150 µL

            Since, 1.0 µL of stock is to be diluted upto 1.250 µL

            Or,    150 µL    -           -           -           -       (1.250 x 150) µL

                                                                                    = 187.5 µL

Thus, take 150 µL of stock solution in a sterile Eppendorf tube and make the final volume upto 187.5 µL with distilled water. That is -

     Volume of desired solution 1 (187.5 µL) = 150 µL (stock soln.) + 37.5 µL distilled water.

Now: Desired solution 2: Desired solution 1 is further diluted to form desired solution 2 as follow-

            Concentration of desired solution 2 = 0.1 µg/ µL

            Dilution factor required = desired concentration / conc. of desired solution 1

                                                = (0.1 µg/ µL) / (1.0 µg/ µL)

                                                = 1: 10

That is, when 1 µL of desired solution 1 (1.0 µg/ µL) is diluted upto 10 µL, the concertation of resultant desired solution 2 becomes 0.1 µg/ µL.

Let we require to prepare 20 µL (10 µL + 100% excess) of solution 2.

            Volume of solution 1 required = volume of solution 2 required x dilution factor

                                                            = 20 µL x (1/10)

                                                            = 2 µL

Thus, diluted 2 µL of solution 1 upto 20 µL with sterile distilled water to get the desired solution 2.

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