A collapsible plastic bag (figure below) contains a glucose solution. If the average gauge pressure in the vein is 1,27 x 10 Pa, what must be the minimum height h of the bag in order t infuse glucose into the vein? Assume the specific gravity of the solution is 1.04. h = Glucose

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**Title: Determining Minimum Height for Infusing Glucose Solution**

**Description:**

A collapsible plastic bag containing a glucose solution is depicted in the image. To ensure proper infusion of glucose into the vein, it is crucial to determine the minimum height \( h \) at which the bag must be placed.

**Problem Statement:**

If the average gauge pressure in the vein is \( 1.27 \times 10^3 \) Pa, calculate the necessary minimum height \( h \) for the bag to ensure effective infusion. Assume the specific gravity of the glucose solution is 1.04.

**Diagram Explanation:**

- The image shows a human arm with an intravenous line connected to a glucose solution bag.
- The glucose solution bag is held at a height \( h \) above the entry point of the IV into the arm.
- The height \( h \) is a critical factor affecting the pressure required for the solution to enter the vein.

**Calculation Requirements:**

To solve for \( h \), use the principle that the pressure exerted by the column of liquid must at least match the average gauge pressure in the vein. Consider the specific gravity in your calculations.
Transcribed Image Text:**Title: Determining Minimum Height for Infusing Glucose Solution** **Description:** A collapsible plastic bag containing a glucose solution is depicted in the image. To ensure proper infusion of glucose into the vein, it is crucial to determine the minimum height \( h \) at which the bag must be placed. **Problem Statement:** If the average gauge pressure in the vein is \( 1.27 \times 10^3 \) Pa, calculate the necessary minimum height \( h \) for the bag to ensure effective infusion. Assume the specific gravity of the glucose solution is 1.04. **Diagram Explanation:** - The image shows a human arm with an intravenous line connected to a glucose solution bag. - The glucose solution bag is held at a height \( h \) above the entry point of the IV into the arm. - The height \( h \) is a critical factor affecting the pressure required for the solution to enter the vein. **Calculation Requirements:** To solve for \( h \), use the principle that the pressure exerted by the column of liquid must at least match the average gauge pressure in the vein. Consider the specific gravity in your calculations.
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