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Molarity Dilution

πŸ“Š beginner
$$M_1 V_1 = M_2 V_2$$
Moles of solute conserved during dilution.
Variables & Units
$M_1$
Initial molarity
Unit: $\text{mol/L}$
$V_1$
Initial volume
Unit: $\text{L}$
$M_2$
Final molarity
Unit: $\text{mol/L}$
$V_2$
Final volume
Unit: $\text{L}$
Key Information
πŸ“ Derived From
$n = MV = \text{constant}$
πŸ’‘ Example
Dilute $50\,\text{mL}$ of $6\,\text{M}$ HCl to $250\,\text{mL}$: $M_2 = (6 \times 0.05)/0.25 = 1.2\,\text{M}$.
πŸ”§ Applications
Laboratory solution prep, medical dilutions, industrial chemistry
⚠️ Constraints
Volume additive, no chemical reaction

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