A mother calls a nurse to say that she lost the measuring cup that comes with the cough syrup botle. How many teaspoons should the nurse recommend for the child if the dose is 10 mL?

To find the amount of solution to draw for one dose, you need to calculate the following:

- The body surface area (BSA) of the client in square meters (m²) using the formula: BSA (m²) = √(Height (cm) x Weight (kg) / 3600)
- The dose of allopurinol in milligrams (mg) using the formula: Dose (mg) = BSA (m²) x Prescribed dose
(mg/m²)
- The volume of solution in milliliters (mL) using the formula: Volume (mL) = Dose (mg) / Concentration (mg/mL)

First, use the formula for BSA to find the client's body surface area in square meters:

BSA (m²) = √(Height (cm) x Weight (kg) / 3600)

Since the client's height is 148 cm and weight is 55 kg, plug in these values into the formula:

BSA (m²) = √(148 cm x 55 kg / 3600)

Simplify and solve for the BSA:

BSA (m²) = 1.41 m²

Next, use the formula for dose to find the amount of allopurinol in milligrams:

Dose (mg) = BSA (m²) x Prescribed dose (mg/m²)

Since the client's BSA is 1.41 m² and the prescribed dose is 115 mg/m², plug in these values into the formula:

Dose (mg) = 1.41 m² x 115 mg/m²

Simplify and solve for the dose:

Dose (mg) = 162.15 mg

Then, use the formula for volume to find the amount of solution in milliliters:

Volume (mL) = Dose (mg) / Concentration (mg/mL)

Since the dose is 162.15 mg and the concentration is 25 mg/mL, plug in these values into the formula:

Volume (mL) = 162.15 mg / 25 mg/mL

Simplify and solve for the volume:

Volume (mL) = 6.486 mL

Therefore, the nurse should draw **6.486 mL** of solution for one dose of allopurinol.

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.