A 21% dextrous solution (21 mg per 100 mL of solution) is given intravenously. Suppose a total of 4.598 L of the solution is given over a 19-hour period. Complete parts (a) through (c) below. A. What is the flow rate in units of mL/hr? __mL/hr What is the flow rate in dextrous per hour? __mg/hr B. If each mL contains 14 drops (the factor is expressed as 14 gtt/mL), what is the flow rate in units of gtt/hr? __gtt/hr C. During the 19-hour period, how much dextrous is delivered? __mg Please round all answers to the nearest thousandth as needed.

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Answer:

(a) The flow rate in units of mL/hr is 242 mL/hr and the flow rate in dextrous per hour is 50.82.

(b) The flow rate in gtt/hr is 3388 gtt/hr.

(c) The dextrous delivered during the 19-hour period is 965.58 mg.

Step-by-step explanation:

We are given that a 21% dextrous solution (21 mg per 100 mL of solution) is given intravenously.

Suppose a total of 4.598 L of the solution is given over a 19-hour period.

Firstly, converting the quantity of solution in mL, we get;

       1 L = 1000 mL

4.598 L = [tex]4.598 \times 1000[/tex] = 4598 mL

(a) The flow rate in units of mL/hr is given by;

        Flow rate  =  [tex]\frac{\text{Quantity of solution}}{\text{Time period}}[/tex]

Here, the Quantity of solution in mL = 4598 mL

          Time period = 19 hours

So, Flow rate  =  [tex]\frac{4598}{19}[/tex]

                       =  242 mL/hr

Hence, the flow rate in units of mL/hr is 242 mL/hr.

Also, the flow rate in dextrous per hour is given by;

         Flow rate  =  [tex]\frac{\text{Quantity of dextrous solution}}{\text{Time period}}[/tex]

                           =  [tex]\frac{0.21 \times 4598}{19}[/tex]  = 50.82

Hence, the flow rate in dextrous per hour is 50.82.

(b) It is given that each mL contains 14 drops (the factor is expressed as 14 gtt/mL) and we have to calculate the flow rate in units of gtt/hr.

The flow rate in gtt/hr = Flow rate in units of mL/hr [tex]\times[/tex] Drop factor in gtt/mL

                                    = 242 [tex]\times[/tex] 14 = 3388 gtt/hr

(c) We have calculated above that the amount of solution given over a 19-hour period is 4598 mL.

Also, a 21% dextrous solution (21 mg per 100 mL of solution) is given intravenously.

So, the dextrous delivered during the 19-hour period = 21% of 4598

                              =  [tex]0.21 \times 4598[/tex] = 965.58 mg