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Concentration of solutions: units, practice, pitfalls

Quantitative chemistryConcentration of solutions

Flashcards

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State n for 0.750 mol dm-3 in 1000 cm3.

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1000 cm3 = 1.000 dm3; n = c × V = 0.750 × 1.000 = 0.750 mol.

Key concepts

What you'll likely be quizzed about

Definition and main formula

Concentration measures amount of solute per volume of solution. The primary formula uses amount in moles (n) and volume in cubic decimetres (V): c = n / V. Incorrect volume units cause systematic errors in the result because the formula requires volume in dm3 when reporting concentration in mol dm-3.

Common units and their relationships

Mol dm-3 (also written mol L-1) expresses moles per cubic decimetre. Cubic centimetres (cm3) and cubic decimetres (dm3) relate by 1 dm3 = 1000 cm3. Mass concentration uses g dm-3 or g L-1 and requires conversion from mass to moles using molar mass when a molar concentration is required. Failure to convert volume from cm3 to dm3 produces an answer too large by a factor of 1000.

Converting mass to moles

Amount in moles equals mass divided by relative molecular or atomic mass: n = mass / Mr. Mass reported in grams requires no unit conversion for this formula. Using mass in kilograms without converting to grams produces an answer smaller by a factor of 1000 and breaks subsequent concentration calculations.

Volume handling and limiting factors

Volume in titrations or dilutions refers to final solution volume, not the sum of separate component volumes unless stated. Temperature changes alter solution density but do not affect calculations that use measured volume in dm3. Concentration calculations assume complete dissolution and no reaction side processes unless otherwise specified.

Rearrangement and algebra

Rearrangement of c = n / V yields n = c × V and V = n / c. Algebraic errors cause wrong intermediate values and incorrect final answers. Substituting values with inconsistent units causes magnitude errors even when algebra is correct.

Key notes

Important points to keep in mind

Always convert volume to dm3 when using c = n / V for mol dm-3.

Divide cm3 by 1000 to obtain dm3; multiply dm3 by 1000 to obtain cm3.

Use mass divided by Mr to convert grams to moles; ensure mass units match Mr units (grams).

Use final solution volume after dilution, not the volume of solvent added.

Show units at every step; unit cancellation reveals incorrect substitutions.

Round only the final answer to required significant figures; keep extra figures in intermediate steps.

Check whether concentration required is molar (mol dm-3) or mass-based (g dm-3) before converting.

Check algebra when rearranging formulas; isolate the intended variable before substituting numbers.

Label volumes clearly as cm3 or dm3 to avoid factor-of-1000 errors.

When titration data appear, use titres as volumes and ensure both solutions use the same volume unit.

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