A patient receives IV fluid through a needle of radius 0.200 mm and length 2.0 cm. The density of the IV fluid is 1050 kg/m3 and it has a viscosity of 2.7 x 10-3 Pa s. The bag supplying the IV is 1.30 m above the patients arm. The blood pressure in the patient’s vein is 80 mm Hg. The viscosity of the IV fluid is significant, and the narrow needle will be the overwhelming factor in the flow rate. We will need to use the equation for volume flow rate under viscosity in this problem. To do that, we will need the pressure difference on the two sides of the needle. First, find the gauge pressure on the outside of the needle. This will be due to the height of the IV fluid in the bag. The gauge pressure outside the needle is _______x104 Pa. The gauge pressure in the vein is Answerx104 Pa. Note: We are using gauge pressure for both answers because the pressure difference determines the volume flow rate. What is the volume flow rate of the IV? (Give your answer in ml per hour. There are 1x106 ml per m3.) Context: The height of the bag determines the flow rate. A doctor or nurse can adjust the height to give a desired flow rate.
A patient receives IV fluid through a needle of radius 0.200 mm and length 2.0 cm. The density of the IV fluid is 1050 kg/m3 and it has a viscosity of 2.7 x 10-3 Pa s. The bag supplying the IV is 1.30 m above the patients arm. The blood pressure in the patient’s vein is 80 mm Hg.
The viscosity of the IV fluid is significant, and the narrow needle will be the overwhelming factor in the flow rate. We will need to use the equation for volume flow rate under viscosity in this problem. To do that, we will need the pressure difference on the two sides of the needle.
First, find the gauge pressure on the outside of the needle. This will be due to the height of the IV fluid in the bag.
The gauge pressure outside the needle is _______x104 Pa.
The gauge pressure in the vein is Answerx104 Pa.
Note: We are using gauge pressure for both answers because the pressure difference determines the volume flow rate.
What is the volume flow rate of the IV? (Give your answer in ml per hour. There are 1x106 ml per m3.)
Context: The height of the bag determines the flow rate. A doctor or nurse can adjust the height to give a desired flow rate.
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