Question

A 15% dextrous solution (15 mg per 100 mL of solution) is given intravenously. Suppose a total of 1.358 L of the solution is given over a 7-hour period. What is the flow rate in units of mL/hr? ml/hr (Type an integer or decimal rounded to the nearest thousandth as needed.) What is the flow rate in dextrous per hour? mg/hr (Type an integer or decimal rounded to the nearest thousandth as needed.) If each mL contains 15 drops (the drop factor is expressed as 15 gtt/mL), what is the flow rate in units of gtt/hr? gtt/hr (Type an integer or decimal rounded to the nearest thousandth as needed.) During the 7-hour period, how much dextrous is delivered? mg (Type an integer or decimal rounded to the nearest thousandth as needed.)

Answer 1

We have to calculate the flow rate of the solution (in ml/hr) and the flow rate of the dextrous (in mg/hr).

We can find the flow rate of the solution as the ratio between the total solution given in 7 hours (1.358 L) and the period of time (7 hours):

`q_s=(1.358L)/(7h)\cdot\frac{1000\text{ mL}}{1L}=194(mL)/(h)`

As the solution is 15 mg per 100 mL of solution, we can multiply the flow rate of the solution by this proportion in order to calculate the flow rate of dextrous:

`q_d=q_s\cdot\frac{15\text{ mg}}{100\text{ mL}}=194\frac{\text{ mL}}{\text{ h}}\cdot\frac{15\text{ mg}}{100\text{ mL}}=29.1\frac{\text{ mg}}{\text{ h}}`

If each mL contains 15 drops, we can calculate the flowrate in gtt/mL multiplying the proportion of drops to mL by the flow rate of the solution:

`q_r=15\frac{\text{ gtt}}{\text{ mL}}\cdot194\frac{\text{ mL}}{\text{ h}}=2910\frac{\text{ gtt}}{\text{ h}}`

To calculate the amount of dextrous delivered in 7 hours we can multiply the flow rate by the period of time:

`D=q_d\cdot t=29.1\frac{\text{ mg}}{\text{ h}}\cdot7\text{ h}=203.7\text{ mg}`

Answer:

Flow rate of the solution: 194 mL/h

Flow rate of dextrous: 29.1 mg/h

Flow rate in drops: 2910 gtt/h

Amount of dextrous in 7 hours: 203.7 mg