Can someone please solve this for me?

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pharmacist007

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I am taking my naplex next week and for some reason I am having trouble solving this question.

.A pharmacist receives an order for lidocaine hydrochloride to be administered by IV drip at the rate of 30 ..mcg/kg/min. If 10 mL of a 20% lidocaine hydrochloride solution is placed in 490 mL of D5W and the IV administration set is calibrated to provide 1 mL in 10 drops, how many drops per minute should be administered to a patient weighing 176 pounds?

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eh ill take a crack at it anyway...just know theres a chance im not right, as im not a math pro.

patient is 80kg so you need 2400mcg/min of lido

20% lido solution is 20g of lido in 100ml, which gives 2g in 10ml

add 10ml to 490ml, giving 2g of lido in 500ml = 0.004g per ml

0.004g/ml = 4000mcg/ml

therefore you need (2400 divided by 4000) 0.6ml per minute

0.6ml per minute = 6 drops per minute
 
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