Answer :
Certainly! Let's solve this step by step:
1. Determine the concentration of Heparin in the solution:
- We have a total of 25,000 units of Heparin dissolved in 500 mL of normal saline (NS).
- To find the concentration, we divide the total units by the total volume:
[tex]\[ \text{Concentration (units/mL)} = \frac{\text{Total units of Heparin}}{\text{Total volume of solution (mL)}} \][/tex]
[tex]\[ \text{Concentration (units/mL)} = \frac{25,000 \text{ units}}{500 \text{ mL}} \][/tex]
[tex]\[ \text{Concentration (units/mL)} = 50 \text{ units/mL} \][/tex]
2. Calculate the units of Heparin the patient receives per hour:
- The infusion rate is 10 mL per hour.
- Since we know the concentration of the Heparin solution is 50 units/mL, we need to determine how many units are in the volume being infused per hour:
[tex]\[ \text{Units per hour} = \text{Concentration (units/mL)} \times \text{Infusion rate (mL/hr)} \][/tex]
[tex]\[ \text{Units per hour} = 50 \text{ units/mL} \times 10 \text{ mL/hr} \][/tex]
[tex]\[ \text{Units per hour} = 500 \text{ units/hr} \][/tex]
Therefore, the patient is receiving 500 units of Heparin per hour.
1. Determine the concentration of Heparin in the solution:
- We have a total of 25,000 units of Heparin dissolved in 500 mL of normal saline (NS).
- To find the concentration, we divide the total units by the total volume:
[tex]\[ \text{Concentration (units/mL)} = \frac{\text{Total units of Heparin}}{\text{Total volume of solution (mL)}} \][/tex]
[tex]\[ \text{Concentration (units/mL)} = \frac{25,000 \text{ units}}{500 \text{ mL}} \][/tex]
[tex]\[ \text{Concentration (units/mL)} = 50 \text{ units/mL} \][/tex]
2. Calculate the units of Heparin the patient receives per hour:
- The infusion rate is 10 mL per hour.
- Since we know the concentration of the Heparin solution is 50 units/mL, we need to determine how many units are in the volume being infused per hour:
[tex]\[ \text{Units per hour} = \text{Concentration (units/mL)} \times \text{Infusion rate (mL/hr)} \][/tex]
[tex]\[ \text{Units per hour} = 50 \text{ units/mL} \times 10 \text{ mL/hr} \][/tex]
[tex]\[ \text{Units per hour} = 500 \text{ units/hr} \][/tex]
Therefore, the patient is receiving 500 units of Heparin per hour.
