Respuesta :
First, the child's weight must be converted from pounds to kilograms.
1 lb is equal to 0.453592 kg, so a 13 lb child weighs:
13 lb * 0.453592 kg/lb = 5.896696 kg
Next, use the child's converted weight to determine the mg dosage. The recommended dose is 15 mg per kg, so the recommended dose is:
15 mg/kg * 5.896696 kg = 88.45044 mg
Finally, determine how many mL are needed to provide the calculated mg dosage. One unit of the suspension is 80 mg/0.80 mL. In order to provide 88.45044 mg, you will need
88.45044 mg / 80 mg = 1.1056305 units of the suspension.
Multiplying this by the 0.80 mL portion of the unit of the suspension, you get the final mL dosage:
0.80 mL * 1.1056305 = 0.8845044 mL
A 13 lb child should receive 0.8845044 mL of the 80mg/.8mL suspension.
[tex]\boxed{{\text{0}}{\text{.8845 mL}}}[/tex] of an infant acetaminophen suspension should be given to a child weighing 13 lbs.
Further Explanation:
The unit is a standard used for the comparison of measurements. Units can be basic or derived units. The units that cannot be further reduced into any other unit are called basic units. For example, mass, time and temperature are basic units. The units that need basic units to express themselves are called derived units. Volume, area, and density are some examples of derived units.
Conversion factors are the ratios that are described in the form of fractions whose multiplication with the original unit yields the desired units.
The weight of the child has to be converted into kg. The conversion factor for this is,
[tex]1{\text{ lbs}} = 0.453592{\text{ kg}}[/tex]
So the weight of the child can be calculated as follows:
[tex]\begin{aligned}{\text{Weight of child}}&= \left( {13{\text{ lbs}}} \right)\left( {\frac{{0.453592{\text{ kg}}}}{{1{\text{ lbs}}}}} \right)\\&= 5.896696{\text{ kg}}\\\end{aligned}[/tex]
The recommended dose per kg of the bodyweight is 15 mg. Therefore the recommended dose for the child can be calculated as follows:
[tex]\begin{aligned}{\text{Recommended dose}} &= \left( {\frac{{15{\text{ mg}}}}{{1{\text{ kg}}}}} \right)\left( {5.896696{\text{ kg}}} \right)\\&= 88.45044{\text{ mg}}\\\end{aligned}[/tex]
An infant acetaminophen suspension contains 80 mg per 0.80 mL suspension. Therefore the quantity of suspension required for the child can be calculated as follows:
[tex]\begin{aligned}{\text{Quantity of suspension}}&= \left( {\frac{{0.80\,{\text{mL}}}}{{80\;{\text{mg}}}}} \right)\left( {88.45044{\text{ mg}}} \right)\\&= 0.8845044{\text{ mL}}\\&\approx {\text{0}}{\text{.8845 mL}}\\\end{aligned}[/tex]
Learn more:
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Answer details:
Grade: Senior School
Chapter: Basic concepts of chemistry
Subject: Chemistry
Keywords: unit, conversion factor, basic, derived units, lbs, kg, 0.8845 mL, 88.45044 mg, 13 lbs, 5.896696 kg, 0.453592 kg, 1 lbs.
