To find out how many ml you will give, you need to calculate the volume of the dilution needed to achieve the desired concentration.
Given:
Desired concentration: 100 mg/2 ml
Ordered dose: 25 mg
Diluent volume: 2 ml
Step 1: Calculate the concentration of the original drug.
Let V1 be the original volume (unknown) and C1 be the original concentration.
Using the dilution equation: C1 * V1 = C2 * V2
C1 * V1 = 100 mg/2 ml * 1 L
C1 * V1 = 50,000 mg/L
C1 = 50,000 mg/L / V1
Step 2: Calculate the volume of the original drug necessary to obtain the ordered dose.
25 mg = C1 * V_dose
25 mg = (50,000 mg/L / V1) * V_dose
V1 * V_dose = 50,000 mg/L / 25 mg = 2,000 L
V1 = 2,000 L / V_dose
Step 3: Calculate the volume you will give.
V_given = V1 + V_diluent
V_given = (2,000 L / V_dose) + 2 ml
Now you can substitute the values into the formula to find the volume you will give.
A physician order a 25 mgof 1L drug, IM. Add 2ml of diluent to yeild 100mg/2ml. How many ml will you give?
1 answer