Sure, let's break down the solution step by step for each question:
1. What volume is required for an injection if 500mg are ordered and stock ampules contain 250mg/ml?
To find out the volume required, we can use the formula:
[tex]\[ \text{Volume} = \frac{\text{Ordered dose (mg)}}{\text{Stock concentration (mg/ml)}} \][/tex]
Here, the ordered dose is 500mg and the stock concentration is 250mg/ml.
[tex]\[
\text{Volume} = \frac{500 \text{ mg}}{250 \text{ mg/ml}} = 2 \text{ ml}
\][/tex]
So, the required volume for the injection is 2.0 ml.
2. What volume is required for an injection if 600mg are ordered and stock ampules contain 350mg/ml?
Again, using the formula:
[tex]\[ \text{Volume} = \frac{\text{Ordered dose (mg)}}{\text{Stock concentration (mg/ml)}} \][/tex]
Here, the ordered dose is 600mg and the stock concentration is 350mg/ml.
[tex]\[
\text{Volume} = \frac{600 \text{ mg}}{350 \text{ mg/ml}} \approx 1.714 \text{ ml}
\][/tex]
So, the required volume for the injection is approximately 1.714 ml.
3. What volume is required for an injection if 750mg are ordered and stock ampules contain 200mg/ml?
Using the same formula:
[tex]\[ \text{Volume} = \frac{\text{Ordered dose (mg)}}{\text{Stock concentration (mg/ml)}} \][/tex]
Here, the ordered dose is 750mg and the stock concentration is 200mg/ml.
[tex]\[
\text{Volume} = \frac{750 \text{ mg}}{200 \text{ mg/ml}} = 3.75 \text{ ml}
\][/tex]
So, the required volume for the injection is 3.75 ml.
4. A dose of 2g of medication has ordered for a patient. The medication comes in 4g/0.4mL. What volume will you give the patient?
First, convert the ordered dose from grams to milliliters using the given concentration. The formula used here is:
[tex]\[ \text{Volume} = \left( \frac{\text{Ordered dose (g)}}{\text{Stock concentration (g/ml)}} \right) \times \text{Volume per stock dose} \][/tex]
Here, the ordered dose is 2g, the stock concentration is 4g/0.4ml.
[tex]\[
\text{Volume} = \left( \frac{2 \text{ g}}{4 \text{ g}} \right) \times 0.4 \text{ ml} = \left( \frac{1}{2} \right) \times 0.4 \text{ ml} = 0.2 \text{ ml}
\][/tex]
So, the required volume to be given to the patient is 0.2 ml.
