Solution Dilution
Solution Dilution
Diluting a stock solution to a larger volume lowers its concentration in inverse proportion — the everyday C_1V_1 = C_2V_2 relation.
Rearranging C_1·V_1 = C_2·V_2 gives C_2 = C_1·V_1/V_2. where C_1, V_1 are the stock concentration and volume and V_2 the final volume.
Inputs
C_1 := 2 mol/L=2000 mol/m^3
V_1 := 50 mL=5e-05 m^3
V_2 := 500 mL=5e-04 m^3
Conserve moles of solute across the dilution.
C_2 := C_1·V_1/V_2=200 mol/m^3
Results
Diluting tenfold cuts the concentration tenfold. The amount of solute is unchanged — only the volume (and hence concentration) changes.
Assumptions & limitations
- Solute conserved.
- Volumes additive.
- Same solute and solvent.