Dosage Calculation - Volume/Time - IV mL Rate Questions

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Volume/Time - IV mL Rate Questions

Given a certain amount of liquid and a time period, what is the necessary IV flow rate in mL/hr? Measurement used when IV regulated electronically by infusion pump.

Formula:

$$\boxed{\frac{\mathbf{Volume\; (mL)}}{\mathbf{Time\; (hr)}}=\mathbf{Y(Flow\; Rate\; in\; mL/hr)}}$$

Example: Infuse 250 mL over the next 120 minutes by infusion pump.

$$\frac{\mathbf{Volume\; (mL)}}{\mathbf{Time\; (hr)}}=\mathbf{Y(Flow\; Rate\; in\; mL/hr)}$$

Convert 120 minutes to hours.
    min → hr    ( ÷ by 60 )
    120 min ÷ 60 = 2 hr

$$\frac{\mathbf{250\; mL}}{\mathbf{2\; hr}}=\boxed{\mathbf{125\; mL/hr}}$$

Example: Ordered 1000 mL D5W IV to infuse in 10 hours by infusion pump.

$$\frac{\mathbf{Volume\; (mL)}}{\mathbf{Time\; (hr)}}=\mathbf{Y(Flow\; Rate\; in\; mL/hr)}$$

$$\frac{\mathbf{1000\; mL}}{\mathbf{10\; hr}}=\boxed{\mathbf{100\; mL/hr}}$$

Question (17): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
ORDER: I/V Hartmann's Solution 500 mL over 4 hours via infusion pump.

$$\mathbf{\text{Rate:}}\underline{}\mathbf{\text{mL/hr}}$$

$$\frac{\mathbf{Volume\; (mL)}}{\mathbf{Time\; (hr)}}=\mathbf{Y(Flow\; Rate\; in\; mL/hr)}$$

$$\frac{\mathbf{500\; mL}}{\mathbf{4\; hr}}=\boxed{\mathbf{125\; mL/hr}}$$

Question (21): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
ORDER: I/V Hartmann's as per Parkland formula 4 mL/kg/%burns
Body Weight: 60 kg; %Burns: 30%
Volume to be infused over 24 hours: _______ mL; over first 8 hours: _______ mL

The Parkland formula is a burn formula used to estimate the amount of replacement fluid required for the first 24 hours in a burn patient so as to ensure they remain hemodynamically stable. The first half of this amount is delivered within 8 hours from the burn incident, and the remaining fluid is delivered in the next 16 hours.

 

The first step is to estimate the amount of replacement fluid required for the first 24 hours for this particular patient.
This is a Dosage By Weight Question. 60 kg is the weight in kg, 4 mL/kg/%Burns and  30 %Burns is a dosage in terms of mL.

$$\mathbf{Weight\; in\; Kg}x\mathbf{Dosage\; Per\; Kg}x\mathbf{\%Burns}=\mathbf{Y(Required\; Dosage)}$$

$$\mathbf{60\; kg}x\mathbf{4\; mL/Kg/\%Burns}x\mathbf{30\; \%Burns}=\boxed{\mathbf{7200\; mL\; over\; 24\; hours}}$$

The first half of this amount is delivered within 8 hours from the burn incident.

$$=\frac{\mathbf{7200\; mL}}{\mathbf{2}}=\boxed{\mathbf{3600\; mL\; over\; first\; 8\; hours}}$$

Continue (to Amount in IV Fluid Questions)



Reference 
[1] Advanced Formatting, Ry’s MathML Tutorial, http://rypress.com/tutorials/mathml/advanced-formatting.
[2] MathML, Presentation MathML, https://en.wikipedia.org/wiki/MathML.
[3] MathJax in Blogger (II), Posted on Tuesday, 12 July 2011, http://irrep.blogspot.sg/2011/07/mathjax-in-blogger-ii.html
[4] MathJax, http://docs.mathjax.org/en/latest/start.html
[5] MathML Fundamentals (Colours), W3C recommendation, http://www.w3.org/TR/MathML/chapter2.html

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Dosage Calculation - Volume/Time - IV Drop Rate Questions

Source Website: http://www.dosagehelp.com/iv_rate_drop.html
By DosageHelp.com

Volume/Time - IV Drop Rate Questions

Given a certain amount of liquid, a time period, and a drop factor (gtts/mL), what is the necessary IV flow rate in gtts/min? Measurement used when IV is regulated manually. Because it is not possible to give a patient a fraction of a drop, it is typical to round answers for these problems up or down to the nearest whole number. 

Formula:

$$\boxed{\frac{\mathbf{Volume\; (mL)}}{\mathbf{Time\; (min)}}x\mathbf{Drop\; Factor\; (gtts/mL)}=\mathbf{Y(Flow\; Rate\; in\; gtts/min)}}$$

Example: Calculate the IV flow rate for 1200 mL of NS to be infused in 6 hours. The infusion set is calibrated for a drop factor of 15 gtts/mL.

$$\frac{\mathbf{Volume\; (mL)}}{\mathbf{Time\; (min)}}x\mathbf{Drop\; Factor\; (gtts/mL)}=\mathbf{Y(Flow\; Rate\; in\; gtts/min)}$$

Convert 6 hours to minutes.
    min ← hr    ( x by 60 )
    6 hr x 60 = 360 min

$$\frac{\mathbf{1200\; mL}}{\mathbf{360\; min}}x\mathbf{15\; gtts/mL}=\boxed{\mathbf{50\; gtts/min}}$$

Example: Calculate the IV flow rate for 200 mL of 0.9% NaCl IV over 120 minutes. Infusion set has drop factor of 20 gtts/mL.

$$\frac{\mathbf{Volume\; (mL)}}{\mathbf{Time\; (min)}}x\mathbf{Drop\; Factor\; (gtts/mL)}=\mathbf{Y(Flow\; Rate\; in\; gtts/min)}$$

$$\frac{\mathbf{200\; mL}}{\mathbf{120\; min}}x\mathbf{20\; gtts/mL}=\boxed{\mathbf{33\; gtts/min}}$$

Question (16): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
ORDER: I/V Normal Saline 1000 mL over 24 hours. Drop Factor = 60 gtts/mL.

$$\mathbf{\text{Rate:}}\underline{}\mathbf{\text{gtts/min}}$$

$$\frac{\mathbf{Volume\; (mL)}}{\mathbf{Time\; (min)}}x\mathbf{Drop\; Factor\; (gtts/mL)}=\mathbf{Y(Flow\; Rate\; in\; gtts/min)}$$

Convert 24 hours to minutes.
    min ← hr    ( x by 60 )
    24 hr x 60 = 1440 min

$$\frac{\mathbf{1000\; mL}}{\mathbf{1440\; min}}x\mathbf{60\; gtts/mL}=\boxed{\mathbf{41.7\; gtts/min}}$$

Answer rounded to the nearest whole number = 42 gtts/min

Question (18): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
I/V D5% 1000 mL over 8 hours. Drop Factor = 20 gtts/mL.

$$\mathbf{\text{Rate:}}\underline{}\mathbf{\text{gtts/min}}$$

$$\frac{\mathbf{Volume\; (mL)}}{\mathbf{Time\; (min)}}x\mathbf{Drop\; Factor\; (gtts/mL)}=\mathbf{Y(Flow\; Rate\; in\; gtts/min)}$$

Convert 8 hours to minutes.
    min ← hr    ( x by 60 )
    8 hr x 60 = 480 min

$$\frac{\mathbf{1000\; mL}}{\mathbf{480\; min}}x\mathbf{20\; gtts/mL}=\boxed{\mathbf{41.7\; gtts/min}}$$

Answer rounded to the nearest whole number = 42 gtts/min

Question (19): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
ORDER: I/V gentamycin 80 mg/100 mL N/Saline over 1 hour. Drop Factor = 60 gtts/mL.

$$\mathbf{\text{Calculate Rate:}}\underline{}\mathbf{\text{gtts/min}}$$

$$\frac{\mathbf{Volume\; (mL)}}{\mathbf{Time\; (min)}}x\mathbf{Drop\; Factor\; (gtts/mL)}=\mathbf{Y(Flow\; Rate\; in\; gtts/min)}$$

Convert 1 hours to minutes.
    min ← hr    ( x by 60 )
    1 hr x 60 = 60 min

$$\frac{\mathbf{100\; mL}}{\mathbf{60\; min}}x\mathbf{60\; gtts/mL}=\boxed{\mathbf{100\; gtts/min}}$$

Question (20): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
ORDER: I/V Osmofundin 20% 100 mL over 30 Minutes. Drop Factor 60 gtts/mL.

$$\mathbf{\text{Rate:}}\underline{}\mathbf{\text{gtts/min}}$$

$$\frac{\mathbf{Volume\; (mL)}}{\mathbf{Time\; (min)}}x\mathbf{Drop\; Factor\; (gtts/mL)}=\mathbf{Y(Flow\; Rate\; in\; gtts/min)}$$

$$\frac{\mathbf{100\; mL}}{\mathbf{30\; min}}x\mathbf{60\; gtts/mL}=\boxed{\mathbf{200\; gtts/min}}$$

Continue (Go to Volume/Time - IV mL Rate Questions)



Reference 
[1] Advanced Formatting, Ry’s MathML Tutorial, http://rypress.com/tutorials/mathml/advanced-formatting.
[2] MathML, Presentation MathML, https://en.wikipedia.org/wiki/MathML.
[3] MathJax in Blogger (II), Posted on Tuesday, 12 July 2011, http://irrep.blogspot.sg/2011/07/mathjax-in-blogger-ii.html
[4] MathJax, http://docs.mathjax.org/en/latest/start.html
[5] MathML Fundamentals (Colours), W3C recommendation, http://www.w3.org/TR/MathML/chapter2.html 

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