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To calculate the amount of mL needed to add to the 1000 ml of NS, we first need to determine the total amount of potassium (30 mEq) that needs to be added and then divide that by the concentration of the vial (4 mEq/mL).
30 mEq / 4 mEq/mL = 7.5 ml
Therefore, the nurse will need to add 7.5 ml of the vial to the 1000 ml of NS before infusing it over a 10 hour period.