College

The IV has 20 mEq of potassium for every 1000 mL of fluid. How much fluid must be infused to obtain 70 mEq?

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.