Question
Calculate how many mL of medication is needed for the following order. Order: 4 mg SUBCUT of a medication. Available: 2000 mcg per 2 mL 2 mL 4 mL 10 mL 5 mL
Solution
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SilasMaster · Tutor for 5 years
Answer
To calculate the required volume of medication, we need to follow these steps:<br /><br />1. Convert the ordered dose from mg to mcg.<br />2. Use the concentration of the available medication to determine the volume needed.<br /><br />Step 1: Convert the ordered dose from mg to mcg.<br />1 mg = 1000 mcg<br />So, 4 mg = 4 * 1000 mcg = 4000 mcg<br /><br />Step 2: Use the concentration of the available medication to determine the volume needed.<br />The available medication is 2000 mcg per 2 mL.<br /><br />We can set up a proportion to find out how many mL are needed for 4000 mcg:<br />\[<br />\frac{2000 \text{ mcg}}{2 \text{ mL}} = \frac{4000 \text{ mcg}}{x \text{ mL}}<br />\]<br /><br />Cross-multiply and solve for \( x \):<br />\[<br />2000 \text{ mcg} \times x \text{ mL} = 4000 \text{ mcg} \times 2 \text{ mL}<br />\]<br />\[<br />2000x = 8000<br />\]<br />\[<br />x = \frac{8000}{2000}<br />\]<br />\[<br />x = 4 \text{ mL}<br />\]<br /><br />Therefore, you need 4 mL of the medication to administer the ordered dose of 4 mg SUBCUT. The correct answer is:<br /><br />4 mL
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