a pharmacy technician receives a prescription for 500 ml of d12.5w. the pharmacy has d70 and sterile water for injection (swfi) in stock. how many ml of swfi does the technician need to prepare the solution?

89 ml
392 ml
411 ml
108 ml

Question

a pharmacy technician receives a prescription for 500 ml of d12.5w. the pharmacy has d70 and sterile water for injection (swfi) in stock. how many ml of swfi does the technician need to prepare the solution?

89 ml
392 ml
411 ml
108 ml

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Pharmacy Calculations" ], "new_concepts": [ "Alligation Method", "Dextrose Dilutions" ], "current_concepts": [ "Pharmacy Calculations", "Alligation Method", "Dextrose Dilutions" ] } ## Identify given values and target unknown Using the *Pharmacy Calculations* knowledge point $$ \begin{aligned} &V_{\text{final}} = 500\text{ mL}\ &C_{\text{final}} = 12.5\% \quad (\text{D12.5W})\ &C_{\text{high}} = 70\% \quad (\text{D70})\ &C_{\text{low}} = 0\% \quad (\text{SWFI})\ &\text{Target: } V_{\text{low}} \quad (\text{mL of SWFI}) \end{aligned} $$ ## Calculate the volume of high concentration stock needed Using the *Pharmacy Calculations* knowledge point $$ \begin{aligned} C_1 V_1 &= C_2 V_2 \ 70\% \times V_{\text{D70}} &= 12.5\% \times 500\text{ mL} \ V_{\text{D70}} &= \frac{12.5 \times 500}{70} \approx 89.29\text{ mL} \end{aligned} $$ ## Calculate the volume of diluent needed Using the *Pharmacy Calculations* knowledge point $$ \begin{aligned} V_{\text{SWFI}} &= V_{\text{final}} - V_{\text{D70}} \ V_{\text{SWFI}} &= 500\text{ mL} - 89.29\text{ mL} \approx 410.71\text{ mL} \end{aligned} $$ ## Match with the closest option Using the *Pharmacy Calculations* knowledge point $$ V_{\text{SWFI}} \approx 411\text{ mL} $$

89 mL

392 mL

411 mL

108 mL

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Pharmacy Calculations", "Alligation Method" ] }

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QUESTION IMAGE

Question

Explanation:

Identify given values and target unknown

Calculate the volume of high concentration stock needed

Calculate the volume of diluent needed

Match with the closest option

Answer: