A patient is receiving medication through an intravenous infusion, as the figure shows. The medication has a viscosity of 2.2 × 10-3 N-s/m² and a density of 1050 kg/m³. The needle being used has a length of 0.035 m, an inner radius of 5.0 x 104 m, and has been inserted into a vein, which has a gauge pressure of 2.0 x 103 Pa. The IV bag hangs 0.45 m above the location of the needle. What volume of medication enters the vein in 10.0 minutes? Give your answer in cm³. Assume the height of the column of medication in the IV bag and connecting tube remains constant during the 10.0 minutes. Number Units Atmospheric pressure 0.45 m

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Chapter1: Units, Trigonometry. And Vectors
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A patient is receiving medication through an intravenous infusion, as the figure shows. The medication has a viscosity of \(2.2 \times 10^{-3} \, \text{N} \cdot \text{s/m}^2\) and a density of \(1050 \, \text{kg/m}^3\). The needle being used has a length of \(0.035 \, \text{m}\), an inner radius of \(5.0 \times 10^{-4} \, \text{m}\), and has been inserted into a vein, which has a gauge pressure of \(2.0 \times 10^3 \, \text{Pa}\). The IV bag hangs \(0.45 \, \text{m}\) above the location of the needle. What volume of medication enters the vein in 10.0 minutes? Give your answer in \(\text{cm}^3\). Assume the height of the column of medication in the IV bag and connecting tube remains constant during the 10.0 minutes.

The image shows a patient lying on a bed with an IV bag hanging by their side. The IV bag is connected to a tube that is inserted into the patient's vein. The height from the IV bag to the needle's insertion point is indicated as \(0.45 \, \text{m}\). The atmospheric pressure is marked, suggesting the pressure conditions impacting the fluid flow through the IV system.

**Input Fields:**

- **Number:** Input the calculated volume of medication.
- **Units:** Select the units of measurement.

This exercise requires applying principles of fluid dynamics to determine how much medication is infused over a set period.
Transcribed Image Text:A patient is receiving medication through an intravenous infusion, as the figure shows. The medication has a viscosity of \(2.2 \times 10^{-3} \, \text{N} \cdot \text{s/m}^2\) and a density of \(1050 \, \text{kg/m}^3\). The needle being used has a length of \(0.035 \, \text{m}\), an inner radius of \(5.0 \times 10^{-4} \, \text{m}\), and has been inserted into a vein, which has a gauge pressure of \(2.0 \times 10^3 \, \text{Pa}\). The IV bag hangs \(0.45 \, \text{m}\) above the location of the needle. What volume of medication enters the vein in 10.0 minutes? Give your answer in \(\text{cm}^3\). Assume the height of the column of medication in the IV bag and connecting tube remains constant during the 10.0 minutes. The image shows a patient lying on a bed with an IV bag hanging by their side. The IV bag is connected to a tube that is inserted into the patient's vein. The height from the IV bag to the needle's insertion point is indicated as \(0.45 \, \text{m}\). The atmospheric pressure is marked, suggesting the pressure conditions impacting the fluid flow through the IV system. **Input Fields:** - **Number:** Input the calculated volume of medication. - **Units:** Select the units of measurement. This exercise requires applying principles of fluid dynamics to determine how much medication is infused over a set period.
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