A nurse has to administer 0.05 mcg/kg of a medication to an infant who weighs 7 kg.
Calculate the dose that the nurse should administer to the infant.

To find the hours to finish the infusion, you need to calculate the following:

- The volume of saline solution in milliliters
- The time in hours using the formula: Time (h) = Total volume (mL) / Infusion rate (mL/h)

First, convert the volume of saline solution from liters to milliliters by multiplying by 1000:

1.5 L x 1000 = 1500 mL

Next, use the formula for time to find how many hours it will take to infuse the saline solution at the current rate:

Time (h) = Total volume (mL) / Infusion rate (mL/h)

Since the total volume is 1500 mL and the infusion rate is 75 mL/h, plug in these values into the formula:

Time (h) = 1500 mL / 75 mL/h

Simplify and solve for the time:

Time (h) = 20 h

Therefore, it will take **20 hours** to finish the infusion at the current rate.

To find the volume of fluid that will be left at 10:00 am, you need to calculate the following:

- The time elapsed in minutes from 8:45 am to 10:00 am using the formula: Time elapsed (min) = End time (min) - Start time (min)
- The volume of fluid infused in milliliters (mL) during the time elapsed using the formula: Volume infused (mL) = Flow rate (mL/min) x Time elapsed (min)
- The volume of fluid left in milliliters (mL) at 10:00 am using the formula: Volume left (mL) = Initial volume (mL) - Volume infused (mL)

First, use the formula for time elapsed to find how many minutes have passed from 8:45 am to 10:00 am:

Time elapsed (min) = End time (min) - Start time (min)

Since the end time is 10:00 am and the start time is 8:45 am, plug in these values into the formula:

Time elapsed (min) = 600 min - 525 min

Simplify and solve for the time elapsed:

Time elapsed (min) = 75 min

Next, use the formula for volume infused to find the amount of fluid infused in milliliters during the time elapsed:

Volume infused (mL) = Flow rate (mL/min) x Time elapsed (min)

Since the flow rate is 2 mL/min and the time elapsed is 75 min, plug in these values into the formula:

Volume infused (mL) = 2 mL/min x 75 min

Simplify and solve for the volume infused:

Volume infused (mL) = 150 mL

Then, use the formula for volume left to find the amount of fluid left in milliliters at 10:00 am:

Volume left (mL) = Initial volume (mL) - Volume infused (mL)

Since the initial volume is 1500 mL and the volume infused is 150 mL, plug in these values into the formula:

Volume left (mL) = 1500 mL - 150 mL

Simplify and solve for the volume left:

Volume left (mL) = 1350 mL

Therefore, the volume of fluid that will be left at 10:00 am is **1350 mL**.