Final answer:
The nurse will infuse 240 milliliters of the heparin sodium solution during the 8-hour shift.
Step-by-step explanation:
To determine the number of milliliters (mL) that will infuse during the nurse's 8-hour shift, we need to calculate the total number of units of heparin sodium that will be administered during that time. Since the client is receiving heparin sodium intravenously at a rate of 1,500 units/hour, the total number of units administered in 8 hours would be 1,500 units/hour x 8 hours = 12,000 units.
Next, we can use the concentration in the bag (25,000 units/500 milliliters) to determine the number of milliliters needed. Setting up a proportion with the known concentration, we have 25,000 units / 500 milliliters = 12,000 units / x milliliters. Cross-multiplying gives us 25,000x = 12,000 * 500, and solving for x gives us x = (12,000 * 500) / 25,000 = 240 milliliters. Therefore, the nurse will infuse 240 milliliters during the 8-hour shift.