Dosage Calculation - Mass/Liquid For Liquid Questions - (2)

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Mass/Liquid For Liquid Questions
Given an amount of mass per liquid, how much liquid do you require?
 
Formula:

$$\boxed{\frac{\mathbf{Ordered}}{\mathbf{Have}}x\mathbf{Volume\; Per\; Have}=\mathbf{Y(Liquid\; required)}}$$

Question (3): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
ORDER: Drug D 60 mg P.O.
AVAILABLE: Drug D 15 mg per mL

$$\mathbf{\text{GIVE:}}\underline{}\mathbf{\text{mL}}$$

$$\frac{\mathbf{Ordered}}{\mathbf{Have}}x\mathbf{Volume\; Per\; Have}=\mathbf{Y(Liquid\; required)}$$

$$\frac{\mathbf{60\; mg}}{\mathbf{15\; mg}}x\mathbf{1\; mL}=\boxed{\mathbf{4\; mL}}$$

Alternatively, 15 mg = 1 mL
Therefore 60 mg = 1/15 x 60 = 4 mL

Question (4): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
ORDER: Drug E 0.6 g P.O.
AVAILABLE: Drug E 400 mg per 2 mL

$$\mathbf{\text{GIVE:}}\underline{}\mathbf{\text{mL}}$$

$$\frac{\mathbf{Ordered}}{\mathbf{Have}}x\mathbf{Volume\; Per\; Have}=\mathbf{Y(Liquid\; required)}$$

Convert 0.1 g to mg.
    mcg ← mg ← g ← kg    ( x by 1,000 )
    0.6 g x 1,000 = 600 mg

$$\frac{\mathbf{600\; mg}}{\mathbf{400\; mg}}x\mathbf{2\; mL}=\boxed{\mathbf{3\; mL}}$$

Alternatively, 400 mg = 2 mL
Therefore 600 mg = 2/400 x 600 = 3 mL

Question (5): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
ORDER: Drug F 45 mg I.M.
AVAILABLE: Drug F 50 mg in 2 mL

$$\mathbf{\text{GIVE:}}\underline{}\mathbf{\text{mL}}$$

$$\frac{\mathbf{Ordered}}{\mathbf{Have}}x\mathbf{Volume\; Per\; Have}=\mathbf{Y(Liquid\; required)}$$

$$\frac{\mathbf{45\; mg}}{\mathbf{50\; mg}}x\mathbf{2\; mL}=\boxed{\mathbf{1.8\; mL}}$$

Alternatively, 50 mg = 2 mL
Therefore 45 mg = 2/50 x 45 = 1.8 mL

Question (9): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
ORDER: Drug M 35 mg I.M.
AVAILABLE: Drug M 50 mg per mL

$$\mathbf{\text{GIVE:}}\underline{}\mathbf{\text{mL}}$$

$$\frac{\mathbf{Ordered}}{\mathbf{Have}}x\mathbf{Volume\; Per\; Have}=\mathbf{Y(Liquid\; required)}$$

$$\frac{\mathbf{35\; mg}}{\mathbf{50\; mg}}x\mathbf{1\; mL}=\boxed{\mathbf{0.7\; mL}}$$

Alternatively, 50 mg = 1 mL
Therefore 35 mg = 1/50 x 35 = 0.7 mL

Question (11): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
The doctor prescribed Tagamet 400 milligrams orally. The Tagamet label reads Tagamet liquid 200 milligrams in 5 milliliters. How many mls will be given?

$$\frac{\mathbf{Ordered}}{\mathbf{Have}}x\mathbf{Volume\; Per\; Have}=\mathbf{Y(Liquid\; required)}$$

$$\frac{\mathbf{400\; mg}}{\mathbf{200\; mg}}x\mathbf{5\; mL}=\boxed{\mathbf{10\; mL}}$$

Alternatively, 200 mg = 5 mL
Therefore 400 mg = 5/200 x 400 = 10 mL


Question (12): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
ORDER: Drug Q 300,000 units I.M.
AVAILABLE: Drug Q 5,000,000 units in 25 mL

$$\mathbf{\text{GIVE:}}\underline{}\mathbf{\text{mL}}$$

$$\frac{\mathbf{Ordered}}{\mathbf{Have}}x\mathbf{Volume\; Per\; Have}=\mathbf{Y(Liquid\; required)}$$

$$\frac{\mathbf{300,000\; units}}{\mathbf{5,000,000\; units}}x\mathbf{25\; mL}=\boxed{\mathbf{1.5\; mL}}$$

Alternatively, 5,000,000 units = 25 mL
Therefore 300,000 units = 25/5,000,000 x 300,000 = 1.5 mL

Question (14): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
ORDER: Drug T 50 mg P.O.
AVAILABLE: Drug T 25 mg per 4 mL

$$\mathbf{\text{GIVE:}}\underline{}\mathbf{\text{mL}}$$

$$\frac{\mathbf{Ordered}}{\mathbf{Have}}x\mathbf{Volume\; Per\; Have}=\mathbf{Y(Liquid\; required)}$$

$$\frac{\mathbf{50\; mg}}{\mathbf{25\; mg}}x\mathbf{4\; mL}=\boxed{\mathbf{8\; mL}}$$

Alternatively, 25 mg = 4 mL
Therefore 50 mg = 4/25 x 50 = 8 mL

Question (15): (From Ngee Ann Polytechnics Dosage Calculation Worksheet)
ORDER: Drug U 0.4 g I.M.
AVAILABLE: Drug U 500 mg in 2 mL

$$\mathbf{\text{GIVE:}}\underline{}\mathbf{\text{mL}}$$

$$\frac{\mathbf{Ordered}}{\mathbf{Have}}x\mathbf{Volume\; Per\; Have}=\mathbf{Y(Liquid\; required)}$$

Convert 0.1 g to mg.
    mcg ← mg ← g ← kg    ( x by 1,000 )
    0.1 g x 1,000 = 100 mg
0.4 g = 0.4 g x 1000 = 400 mg

$$\frac{\mathbf{400\; mg}}{\mathbf{500\; mg}}x\mathbf{2\; mL}=\boxed{\mathbf{1.6\; mL}}$$

Alternatively, 500 mg = 2 mL
Therefore 400 mg = 2/500 x 400 = 1.6 mL

Continue (Go to Mass for Mass 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

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