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Answer :
To obtain 70 mEq of potassium, 3500 mL of fluid must be infused.
To determine how much fluid must be infused to obtain 70 mEq of potassium, we can set up a proportion based on the given concentration of potassium in the IV fluid.
Given:
- 20 mEq of potassium per 1000 mL of fluid
We need:
- 70 mEq of potassium
Let x be the volume of fluid needed to obtain 70 mEq of potassium. We can set up the following proportion:
[tex]\frac{20 \text{ mEq}}{1000 \text{ mL}} = \frac{70 \text{ mEq}}{x \text{ mL}}[/tex]
Cross-multiplying to solve for \( x \):
[tex]20 \text{ mEq} \times x \text{ mL} = 70 \text{ mEq} \times 1000 \text{ mL}[/tex]
20x = 70,000
[tex]x = \frac{70,000}{20}[/tex]
[tex]x = 3500 \text{ mL}[/tex]
Therefore, to obtain 70 mEq of potassium, 3500 mL of fluid must be infused.
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