A 29​% dextrous solution ​(29mg per 100mL of​ solution) is given intravenously. Suppose a total of 3.99L of the solution is given over a 14​-hour period. Complete parts​ (a) through​ (c) below.

a. 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.)

b. If each mL contains 12 drops​ (the drop factor is expressed as 12 ggt/mL), what is the flow rate in units of​ ggt/hr?


​ggt/hr ​(Type an integer or decimal rounded to the nearest thousandth as​ needed.)

c. During the 14-hour period, how much dextrous is​ delivered?


mg ​(Type an integer or decimal rounded to the nearest thousandth as​ needed.)

Respuesta :

A 29​% dextrous solution ​(29mg per 100mL of​ solution) is given intravenously. Suppose a total of 3.99L of the solution is given over a 14​-hour period. Complete parts​ (a) through​ (c) below.

a. What is the flow rate in units of​ mL/hr?
 If an order was written to infuse a liter of IV fluid every 8 hours, at what rate would the IV pump be set for? Answer is 125 mL/hour.

Answer:

(a) The flow rate is 285 mL/hr  and the flow rate in dexterous per​ hour is 82.65.

(b) The flow rate in units of​ ggt/hr is 3420.

(c) 1157.1 mg

Step-by-step explanation:

It is given that a 29​% dexterous solution ​(29mg per 100mL of​ solution) is given intravenously.

A total of 3.99L of the solution is given over a 14​-hour period.

(a)

We know that 1 L = 1000 mL.

[tex]3.99L=3.99\times 1000=3990mL[/tex]

The flow rate in units of​ mL/hr is

[tex]Rate=\frac{\text{Solution Quantity}}{Time}[/tex]

[tex]Rate=\frac{3990}{14}[/tex]

[tex]Rate=285[/tex]

Therefore, the flow rate is 285 mL/hr .

The flow rate in dexterous per​ hour is

[tex]Rate=\frac{\text{Solution Quantity}\times \frac{29}{100}}{Time}[/tex]

[tex]Rate=\frac{3990\times 0.29}{14}[/tex]

[tex]Rate=82.65[/tex]

The flow rate in dexterous per​ hour is 82.65.

(b)

It is given that each mL contains 12 drops​ (the drop factor is expressed as 12 ggt/mL).

The flow rate in units of​ ggt/hr is

Rate in units of​ ggt/hr = Flow rate in mL/hr × Drop factor 12 ggt/mL

[tex]\text{ Rate in units of ggt/hr}=285\times 12[/tex]

[tex]\text{ Rate in units of ggt/hr}=3420[/tex]

Therefore, the flow rate in units of​ ggt/hr is 3420.

(c)

It is given that a total of 3990 mL of the solution is given over a 14​-hour period.

The amount of dexterous delivered during the 14-hour period is 29% of 3990.

[tex]3990\times 0.29=1157.1[/tex]

Therefore, 1157.1 mg is of dexterous delivered during the 14-hour period.