To find out how much volume of the tramadol stock solution is needed for an 80 mg dose, we can set up the equation using a proportion based on the stock concentration.
Given:
- Stock concentration: 50 mg in 2 mL
- Required dose: 80 mg
The equation can be set up as follows:
\[ \frac{80 \text{ mg}}{x \text{ mL}} = \frac{50 \text{ mg}}{2 \text{ mL}} \]
Cross-multiplying gives:
\[ 80 \text{ mg} \times 2 \text{ mL} = 50 \text{ mg} \times x \text{ mL} \]
\[ 160 = 50x \]
Now solve for \( x \):
\[ x = \frac{160}{50} = 3.2 \text{ mL} \]
Therefore, you will need 3.2 mL of the tramadol hydrochloride injection to achieve a dose of 80 mg.
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