An order of Lactated Ringer's at 167 mL/h IV for 6 hours. How many millilitres will the client receive in 6 hours?

mL is a measure of volume, so we are looking for the volume given the flow rate of 167 mL/h and time of 6 hours.

$Volume=\frac{\mathrm{167 }mL}{h}\times \frac{\mathrm{6 }h}{1}=\mathrm{1002 }mL$

The client will receive 1002 mL of Lactated Ringer's intravenously for 6 hours.

A physician orders $\frac{1}{2}$ NS 1000 mL IV at 50 mL/h. If the IV starts at 12 pm on Monday, at what time will it finish?

We are looking for the time given the volume of 1000 mL and the flow rate of 50 mL/h.

$Time=\frac{Volume}{Flow Rate}$

   $=\frac{\mathrm{1000 }mL}{\mathrm{50 }mL/h}$

   $=\frac{\mathrm{1000 }mL}{1}\times \frac{h}{\mathrm{50 }mL}$

The IV will be administered for 20 hours starting at 12 pm on Monday.

12 hours after will be 12 am on Tuesday.

This leaves 8 hours which will make it 8 am on Tuesday.

The prescriber ordered $\frac{1}{4}$ NS 850 mL IV in 8 hours. The label on the box containing the IV set to use for this infusion is shown below. Calculate the flow rate in drops per minute.

We want to find the flow rate given the volume of 850 mL, and the time of 8h.

$Flow Rate=\frac{Volume}{Time}$

$=\frac{\mathrm{850 }mL}{\mathrm{8 }h}$

Now, we want to calculate the drops per minute using the flow rate. We know the flow rate is equivalent to the drops per minute so we can set up the following.

$\frac{\mathrm{850 }mL}{\mathrm{8 }h}=\frac{? gtt}{min}$

There are a few items we need in order to convert the flow rate into drops per minute. On the label, the solution states a drop factor of 10 drops per mL, or 10 gtt/mL. We can use this to convert the flow rate.

$\frac{\mathrm{850 }mL}{\mathrm{8 }h}\times \frac{\mathrm{10 }gtt}{\mathrm{1 }mL}=1062.5\frac{gtt}{h}$

We have to convert hours into minutes knowing that 1 hour is equivalent to 60 minutes.

The flow rate is approximately 18 drops per minute.

How many millilitres will infuse in 2 hours at the rate of 30 gtt/min with a drop factor of 15 gtt/mL?

$Volume=\frac{\mathrm{30 }gtt}{\mathrm{1 }min}\times \frac{\mathrm{1 }mL}{\mathrm{15 }gtt}\times \frac{\mathrm{120 }min}{\mathrm{2 }h}=\mathrm{240 }mL/\mathrm{2 }h$

In two hours, 240 mL will be infused.

A 500 mL IV starts at 2100H and runs at 33 gtt/min with a drop factor of 10 gtt/mL. At what time will it finish?

$Time=\mathrm{500 }mL\times \frac{\mathrm{10 }gtt}{\mathrm{1 }mL}\times \frac{\mathrm{1 }min}{\mathrm{33 }gtt}=\mathrm{151.515152 }min$

The IV will finish approximately 152 minutes after. We can now convert the minutes into hours & minutes.

If two hours = 120 mins:

$\mathrm{152 }min-120=31$

The IV will end 2 hour 31 minutes after 2100H or 2331H.