Glucose solution is administered to a patient in a hospital. The density of the solution is 1.308 kg/l. If the blood pressure in the vein is 35.7 mmHg, then what is the minimum necessary height of the IV bag above the position of the needle?

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The minimum necessary height of the IV bag above the position of the needle, if the density of the solution is 1.308kg/L, and the pressure in the vein is 35.7 mmHg is, 2.78m.

To find the answer, we need to know more about the pressure exerted by a liquid column.

How to find the height of IV bag above the position of needle?

  • Consider a liquid of density ρ contained in a vessel of height h, the pressure exerted by the liquid column at the bottom of the vessel is given by ,

                                                [tex]P=[/tex] ρgh

  • In our question, it is given that,

                                           [tex]density=1.308 kg/L\\\\P=35.7 mmHg.\\[/tex]

  • Thus, the height of the bag h will be,

                                       [tex]h=\frac{P}{density*g} =\frac{35.7}{1.308*9.8}\\\\ h=2.78 m[/tex]

Thus, we can conclude that, the height of the Iv bag is 2.78 m above the position of needle.

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If the solution has a density of 1.308 kg/L and the vein pressure is 35.7 mmHg, the minimum height of the IV bag above the needle position is 2.78 m.

We need to learn more about the pressure that a liquid column exerts in order to determine the solution.

How can I determine the height of IV bag above where the needle is?

  • The pressure exerted by the liquid column at the bottom of the vessel is given by for a liquid with density enclosed in a vessel of height h.

                            [tex]P=[/tex] ρgh

  • In our inquiry, it is assumed that,

                        [tex]Density=1.308kg/L\\P=35.7mmHg[/tex]

  • As a result, the bag's height will be,

                           [tex]h=\frac{P}{density*g}\\\\ h=2.78m[/tex]

As a result, we may say that the I.V. bag is 2.78 m above the ground.

Learn more about the pressure exerted by a liquid column here:

https://brainly.com/question/28106909

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