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A nurse is preparing to administer heparin 5,000 units subcutaneously. Available is heparin injection 10,000 units/mL. How many mL should the nurse administer per dose? (Round the answer to the nearest tenth. Use a leading zero if it applies. Do not use a trailing zero.)

A) 0.5 mL
B) 0.6 mL
C) 0.7 mL
D) 0.8 mL

User MikeTeeVee
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1 Answer

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Final answer:

The nurse should administer 0.3 mL of heparin per dose.

Step-by-step explanation:

To calculate how many mL of heparin the nurse should administer, we can use the formula C₁V₁ = C₂V₂. In this case, C₁ is 10,000 units/mL, C₂ is 5,000 units, and V₂ is what we need to calculate. Rearranging the formula to solve for V₂, we get V₂ = (C₁ * V₁) / C₂. Plugging in the values, V₂ = (10,000 units/mL * V₁) / 5,000 units. Simplifying, V₂ = 2V₁. To find V₁, we divide V₂ by 2: V₁ = V₂ / 2.


Since we want to round the answer to the nearest tenth, we can use decimal notation for fractions. Therefore, V₁ = V₂ / 2 = 5000 units / 2 = 2500 units. Converting this to mL, we divide by the concentration of 10,000 units/mL: V₁ = 2500 units / 10,000 units/mL = 0.25 mL.


Therefore, the nurse should administer 0.25 mL of heparin per dose. When rounded to the nearest tenth, the answer is 0.3 mL, so the correct choice is Option D) 0.3 mL.

User Kasra Rahjerdi
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