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A 
1mg//mL dilution of NICUmycin in 
0.9% NSS is needed for a neonatal patient. NICUmycin is vailable as a 
30mg//mL vial. The order is for 
30mL.
a. How many mLs of NICUmycin are needed?
b. How many mLs of 
0.9% NSS are needed?

A 1mg/mL 1 \mathrm{mg} / \mathrm{mL} dilution of NICUmycin in 0.9% 0.9 \% NSS is needed for a neonatal patient. NICUmycin is vailable as a 30mg/mL 30 \mathrm{mg} / \mathrm{mL} vial. The order is for 30 mL 30 \mathrm{~mL} .\newlinea. How many mLs of NICUmycin are needed?\newlineb. How many mLs of 0.9% 0.9 \% NSS are needed?

Full solution

Q. A 1mg/mL 1 \mathrm{mg} / \mathrm{mL} dilution of NICUmycin in 0.9% 0.9 \% NSS is needed for a neonatal patient. NICUmycin is vailable as a 30mg/mL 30 \mathrm{mg} / \mathrm{mL} vial. The order is for 30 mL 30 \mathrm{~mL} .\newlinea. How many mLs of NICUmycin are needed?\newlineb. How many mLs of 0.9% 0.9 \% NSS are needed?
  1. Calculate Total NICUmycin: To find out how many mLs of NICUmycin are needed, we need to calculate the total amount of NICUmycin required for a 3030mL solution at a concentration of 11mg/mL.\newlineTotal amount of NICUmycin needed = concentration ×\times volume = 11mg/mL ×\times 3030mL = 3030mg.
  2. Determine Vial Amount: Now, we need to determine how many mLs of the 3030mg/mL NICUmycin vial are required to get 3030mg of NICUmycin.\newlineAmount of NICUmycin per mL from the vial = 30mg/mL30\,\text{mg/mL}.\newlinemLs of NICUmycin needed = total amount of NICUmycin needed / concentration of NICUmycin vial = 30mg30mg/mL=1mL\frac{30\,\text{mg}}{30\,\text{mg/mL}} = 1\,\text{mL}.
  3. Calculate NSS Volume: Next, we need to calculate how many mLs of 0.9%0.9\% Normal Saline Solution (NSS) are needed to make up the rest of the 30mL30\,\text{mL} solution.\newlineSince we already have 1mL1\,\text{mL} of NICUmycin, the remaining volume needed to reach 30mL30\,\text{mL} will be filled with NSS.\newlinemLs of 0.9%0.9\% NSS needed = total volume of final solution - mLs of NICUmycin added = 30mL1mL=29mL30\,\text{mL} - 1\,\text{mL} = 29\,\text{mL}.

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