1. How many $cm^2$ will give you $65.8 \times 10^4 dm^2$? 2. Convert 6 km to km. 3. In order to prepare a suspension, you are to mix 0.5 ml of a liquid fluid to 25mg paracetamol.... 1. How many $cm^2$ will give you $65.8 \times 10^4 dm^2$? 2. Convert 6 km to km. 3. In order to prepare a suspension, you are to mix 0.5 ml of a liquid fluid to 25mg paracetamol. If the patient is supposed to take 4g of the paracetamol in 2 days: (i) How many ml of the fluid do you need to prepare the suspension? (ii) How many times will the patient take the suspension daily. (iii) Write in prescription form.
Understand the Problem
This appears to be a pharmaceutical calculation problem. It involves determining the amount of liquid fluid needed to prepare a suspension containing a specific concentration of paracetamol, and calculating how many times a day the patient should take the suspension based on a prescribed dosage over a period of 2 days, followed by writing the prescription form.
Answer
(i) $8mL$ (ii) 2 times daily Prescription: Paracetamol Suspension, Take $8mL$ twice daily.
Answer for screen readers
(i) You need $8mL$ of the fluid to prepare the suspension. (ii) The patient will take the suspension 2 times daily.
Prescription: Paracetamol Suspension Take $8mL$ twice daily.
Steps to Solve
- Find the volume of liquid fluid
We know $0.5L$ of liquid fluid is mixed with $250g$ of paracetamol, and we want to find out the volume needed for $4g$ of paracetamol. We can set up a proportion:
$\frac{0.5L}{250g} = \frac{x}{4g}$
Solve for $x$:
$x = \frac{0.5L \times 4g}{250g} = \frac{2}{250}L = 0.008L$
Convert Liters to milliliters:
$0.008 L \times 1000 \frac{mL}{L} = 8 mL$
- Calculate the number of doses per day
The patient needs to take $4g$ of paracetamol in 2 days. First, find the daily dose:
Daily dose $= \frac{4g}{2 \text{ days}} = 2g \text{ per day}$
- Determine the number of doses per day
Since each dose is $1g$ (as stated in the problem), and the patient needs $2g$ per day:
Number of doses per day $= \frac{2g}{1g} = 2$
- Write the prescription
The prescription should include:
- The name of the medication is Paracetamol Suspension
- The dosage instruction is to take $8mL$ twice daily
(i) You need $8mL$ of the fluid to prepare the suspension. (ii) The patient will take the suspension 2 times daily.
Prescription: Paracetamol Suspension Take $8mL$ twice daily.
More Information
The calculations involve proportions and unit conversions, which are fundamental in pharmaceutical calculations for accurate medication preparation and dosage instructions.
Tips
- Incorrectly setting up the proportion when finding the volume of fluid.
- Forgetting to convert liters to milliliters.
- Miscalculating the daily dosage or number of doses.
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