Sure! Let's go through each problem step by step to find out the required volumes for the injections.
### Question 1
What volume is required for an injection if 500mg are ordered and stock ampules contain 250mg/ml?
To find the volume needed:
- The ordered dose is 500 mg.
- The concentration of the stock ampules is 250 mg/ml.
Solution:
You can determine the required volume by dividing the ordered dose by the concentration:
[tex]\[ \text{Volume} = \frac{\text{Ordered Dose}}{\text{Concentration}} = \frac{500 \text{ mg}}{250 \text{ mg/ml}} = 2.0 \text{ ml} \][/tex]
So, the required volume is 2.0 ml.
### Question 2
What volume is required for an injection if 600mg are ordered and stock ampules contain 350mg/ml?
To find the volume needed:
- The ordered dose is 600 mg.
- The concentration of the stock ampules is 350 mg/ml.
Solution:
You can determine the required volume by dividing the ordered dose by the concentration:
[tex]\[ \text{Volume} = \frac{\text{Ordered Dose}}{\text{Concentration}} = \frac{600 \text{ mg}}{350 \text{ mg/ml}} \approx 1.714 \text{ ml} \][/tex]
So, the required volume is approximately 1.714 ml.
### Question 3
What volume is required for an injection if 750mg are ordered and stock ampules contain 200mg/ml?
To find the volume needed:
- The ordered dose is 750 mg.
- The concentration of the stock ampules is 200 mg/ml.
Solution:
You can determine the required volume by dividing the ordered dose by the concentration:
[tex]\[ \text{Volume} = \frac{\text{Ordered Dose}}{\text{Concentration}} = \frac{750 \text{ mg}}{200 \text{ mg/ml}} = 3.75 \text{ ml} \][/tex]
So, the required volume is 3.75 ml.
### Question 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?
To find the volume needed:
- The ordered dose is 2 g, which is 2000 mg (since 1 g = 1000 mg).
- The concentration of the medication is given as 4 g/0.4 ml, which can be converted to mg/ml: [tex]\( \frac{4 \text{ g}}{0.4 \text{ ml}} = \frac{4000 \text{ mg}}{0.4 \text{ ml}} \)[/tex].
Solution:
You can determine the required volume by dividing the ordered dose by the concentration:
[tex]\[ \text{Volume} = \frac{\text{Ordered Dose}}{\text{Concentration}} \][/tex]
[tex]\[ \text{Concentration in mg/ml} = \frac{4000 \text{ mg}}{0.4 \text{ ml}} = 10000 \text{ mg/ml} \][/tex]
[tex]\[ \text{Volume} = \frac{2000 \text{ mg}}{10000 \text{ mg/ml}} = 0.2 \text{ ml} \][/tex]
So, the required volume is 0.2 ml.
