Chapter 1, Problem 1.111P

1-111 In the hospital, your doctor orders 100. mg of medication per hour. The label on the IV bag reads 5.0 g/1000. mL.

(a) How many mL should infuse each hour?

(b) The IV administration set delivers 15 gtts/mL, where the unit gtts denotes drops of liquid as explained in Problem 1-5 1. The current drip rate is set to 10. gtts/min. Is this correct? If not, what is the correct drip rate?

Interpretation Introduction

(a)

Interpretation:

The amount of the medication in millilitre which is infused every hour should be identified.

Concept Introduction:

The relation between gram and milligram is as-

1 g= 1000 mg.

Answer to Problem 1.111P

To administer 100.0 mg the volume of the liquid required, is 20 mL.

Explanation of Solution

Medication ordered by the doctor = 100.00 mg per hour.

The label of the Intravenous fluid reads = 5.0g/1000.mL.

1 g = 1000 mg.

5.0 g or 5000 mg is present in 1000 mL.

1 mg is present in.

$\begin{array}{l}=\frac{1000}{5000}\\ =0.2\end{array}$

1 mL has 0.2 mL.

To administer 100.0 mg the volume of the liquid required,

$\begin{array}{l}=\frac{1000\times 100}{5000}\\ =20\end{array}$

To administer 100.0 mg the volume of the liquid required, is 20 mL.

Interpretation Introduction

(b)

Interpretation:

The flow rate of the Intravenous fluid is to be calculated along with whether the drop rate is correct or incorrect, if not the correct drop rate should be identified.

Concept Introduction:

There is a specific rate by which the Intravenous fluid is given to the patients. This specific rate can be calculated as-

$\text{F}\text{l}\text{O}wr\text{a}t\text{e}\text{i}ngtts/m\text{i}nut\text{e}\text{ =}\frac{\left(volum\text{e}oft\text{H}\text{e}\text{i}ntr\text{a}v\text{e}n\text{O}us\text{F}\text{l}u\text{i}d\text{i}n\text{m}\text{L}\times Dr\text{O}p\text{F}\text{a}\text{C}t\text{O}r\text{i}ngtts/\text{m}\text{L}\right)}{T\text{i}m\text{e}\text{i}nm\text{i}nut\text{e}s}$.

Answer to Problem 1.111P

The correct drip rate is 5 gtts per minute.

Explanation of Solution

There is a specific rate by which the Intravenous fluid is given to the patients. This specific rate can be calculated as-

$\text{F}\text{l}\text{O}wr\text{a}t\text{e}\text{i}ngtts/m\text{i}nut\text{e}\text{ =}\frac{\left(volum\text{e}oft\text{H}\text{e}\text{i}ntr\text{a}v\text{e}n\text{O}us\text{F}\text{l}u\text{i}d\text{i}n\text{m}\text{L}\times Dr\text{O}p\text{F}\text{a}\text{C}t\text{O}r\text{i}ngtts/\text{m}\text{L}\right)}{T\text{i}m\text{e}\text{i}nm\text{i}nut\text{e}s}$

$10\text{ =}\frac{\left(volum\text{e}oft\text{H}\text{e}\text{i}ntr\text{a}v\text{e}n\text{O}us\text{F}\text{l}u\text{i}d\text{i}n\text{m}\text{L}\times 15\right)}{1\times 60}$

$\begin{array}{l}volum\text{e}oft\text{H}\text{e}\text{i}ntr\text{a}v\text{e}n\text{O}us\text{F}\text{l}u\text{i}d\text{i}n\text{m}\text{L}=\frac{10\times 60}{15}\\ =40\text{m}\text{L}\end{array}$

This is incorrect because this exceeds the required medicine as ordered by the doctor.

The correct rate is as-

$\text{F}\text{l}\text{O}wr\text{a}t\text{e}\text{i}ngtts/m\text{i}nut\text{e}\text{ =}\frac{\left(volum\text{e}oft\text{H}\text{e}\text{i}ntr\text{a}v\text{e}n\text{O}us\text{F}\text{l}u\text{i}d\text{i}n\text{m}\text{L}\times Dr\text{O}p\text{F}\text{a}\text{C}t\text{O}r\text{i}ngtts/\text{m}\text{L}\right)}{T\text{i}m\text{e}\text{i}nm\text{i}nut\text{e}s}$

$\begin{array}{l}\text{F}\text{l}\text{O}wr\text{a}t\text{e}\text{i}ngtts/m\text{i}nut\text{e}\text{ =}\frac{\left(20\times \text{ 15}\right)}{60}\\ =5\end{array}$

The correct drip rate is 5 gtts per minute.