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Answer :
To determine the amount of oral potassium solution needed, let's break it down step by step:
1. Understand the Doctor's Order: The doctor ordered 35 mEq of potassium for the patient.
2. Available Solution: The oral solution available contains 20 mEq of potassium in 15 mL.
3. Calculate the Required Volume:
- First, we need to figure out how much of the solution provides 35 mEq.
- Since 20 mEq is provided in 15 mL, we can set up a proportion to find out how many mL provide 35 mEq.
4. Set Up the Proportion:
[tex]\[
\frac{20\, \text{mEq}}{15\, \text{mL}} = \frac{35\, \text{mEq}}{x\, \text{mL}}
\][/tex]
5. Solve for [tex]\(x\)[/tex] (the amount of mL needed for 35 mEq):
[tex]\[
x\, \text{mL} = \frac{35\, \text{mEq} \times 15\, \text{mL}}{20\, \text{mEq}}
\][/tex]
6. Perform the Calculation:
[tex]\[
x\, \text{mL} = \frac{525}{20} = 26.25\, \text{mL}
\][/tex]
7. Final Result: The amount of oral solution you should give to provide 35 mEq of potassium is 26.25 mL.
Note: The answer is rounded to the nearest hundredth (two decimal places), so it's precisely 26.25 mL that should be administered to the patient.
1. Understand the Doctor's Order: The doctor ordered 35 mEq of potassium for the patient.
2. Available Solution: The oral solution available contains 20 mEq of potassium in 15 mL.
3. Calculate the Required Volume:
- First, we need to figure out how much of the solution provides 35 mEq.
- Since 20 mEq is provided in 15 mL, we can set up a proportion to find out how many mL provide 35 mEq.
4. Set Up the Proportion:
[tex]\[
\frac{20\, \text{mEq}}{15\, \text{mL}} = \frac{35\, \text{mEq}}{x\, \text{mL}}
\][/tex]
5. Solve for [tex]\(x\)[/tex] (the amount of mL needed for 35 mEq):
[tex]\[
x\, \text{mL} = \frac{35\, \text{mEq} \times 15\, \text{mL}}{20\, \text{mEq}}
\][/tex]
6. Perform the Calculation:
[tex]\[
x\, \text{mL} = \frac{525}{20} = 26.25\, \text{mL}
\][/tex]
7. Final Result: The amount of oral solution you should give to provide 35 mEq of potassium is 26.25 mL.
Note: The answer is rounded to the nearest hundredth (two decimal places), so it's precisely 26.25 mL that should be administered to the patient.
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