01
Label it
Foundation
Give C1, V1, C2 and V2 the correct job, read final-volume wording and sense-check what dilution changes.
10 questions drawn from 24
One lesson · four quiz levels
Medication Dilution Practice Questions (C₁V₁ = C₂V₂)
Practise identifying C₁, V₁, C₂ and V₂, rearranging the dilution equation, handling final-total-volume wording and checking whether the concentration units describe a compatible basis.
Medication dilution calculation practice
Quick review before you start
Use C₁V₁ = C₂V₂ when the same medicine or solute is carried through a simple verified dilution relationship. C₁ and C₂ must use compatible concentration units, and V₂ means the final total volume. Solve only the missing mathematical value; the equation does not choose the diluent or preparation method.
Formula
C₁ × V₁ = C₂ × V₂
For stock volume, V₁ = (C₂ × V₂) ÷ C₁. V₂ is the final total volume, not automatically the volume of diluent added.
Sample question
A verified stock concentration is 100 mg/mL. The target concentration is 20 mg/mL and the verified final total volume is 50 mL. What stock volume is required mathematically?
V₁ = (20 × 50) ÷ 100 = 10 mL
Answer: 10 mL stock solution
What these questions practise
- identifying C₁, V₁, C₂ and V₂ from a medication-maths question
- solving for stock volume, final volume or final concentration
- keeping V₂ as final total volume rather than assuming it means diluent added
- checking that concentration units and concentration bases are compatible
- using conservation-of-medicine reasoning as a reverse check
Learn the skillWork through C₁V₁ = C₂V₂ and final-volume wording step by step.Read the formula guideReview why the equation works, what each value means and its safety boundaries.Use the calculatorSolve one missing verified concentration or volume value in C₁V₁ = C₂V₂.Apply it clinicallyUse dilution and concentration arithmetic inside medication safety cases.
Choose how you want to work
Guided practiceHints are available. Check each answer and see feedback before moving on.
Test yourselfNo hints or correctness feedback while you work. Submit the full set to see results.
02
Solve it
Beginner
Complete straightforward dilution calculations for C2, V2 and V1 from clearly supplied practice values.
10 questions drawn from 24
03
Rearrange it
Intermediate
Solve any missing C1, V1, C2 or V2 while separating the four dilution values from nearby chart detail.
10 questions drawn from 24
04
Reason through it
Advanced
Work through realistic ward-style dilution stories, changed plans, missing information, error checks and linked dose-volume calculations.
10 questions drawn from 24
What the learning states mean
Learned means the lesson is complete. Practised means you have attempted questions. Secure requires a strong unassisted run. Mastered requires strong evidence again after time has passed. Review due means a previously stronger skill is ready for retrieval again.
These are MedMaths study states only. They do not certify clinical competence.