Question

Compare (a) the number of drops and (b) the length of time, in minutes, required to deliver 50 mL of intravenous solutions when using a microdrip set, at 60 drops/mL, and a standard administration set, at 15 drops/mL, if in each case one drop is to be administered per second.

Answer 1

Explanation:

Volume of intravenous solution to be delivered = 50 mL

1) Rate of drops per milliliter of the solution = r = 60 drops/mL

Number of drops delivered :

$60 drops/mL\times 50 mL = 3000 drops$

Time required to deliver 3000 drops = t

Rate of drop solution with respect to time = R = 1 drop/second

$\frac{3000 drop}{t}=1 drop/s$

t = 3000 seconds = 50 minutes (1 min = 60 seconds)

Number of drops delivered 3000.

50 minutes are required to deliver 50 mL of intravenous solutions.

2) Rate of drops per milliliter of the solution = r = 15 drops/mL

Number of drops delivered :

$15 drops/mL\times 50 mL = 750 drops$

Time required to deliver 750 drops = t

Rate of drop solution with respect to time = R = 1 drop/second

$\frac{750 drop}{t}=1 drop/s$

t = 750 seconds = 12.5 minutes (1 min = 60 seconds)

Number of drops delivered 750 .

12.5 minutes are required to deliver 50 mL of intravenous solutions.