01Class 12 Chemistry

Solutions formulas

Concentration terms, Raoult's law and colligative property formulas for Solutions. Remember the van't Hoff factor whenever a solute dissociates.

Concentration

Mole fraction
xA=nAnA+nB\displaystyle x_A = \frac{n_A}{n_A + n_B}
Molarity
M=nVL\displaystyle M = \frac{n}{V_{\text{L}}}
Molality
m=nWkg\displaystyle m = \frac{n}{W_{\text{kg}}}

Laws

Henry's law
p=KHx\displaystyle p = K_Hx
Raoult's law
pA=pA∘xA\displaystyle p_A = p_A^\circ x_A
Total vapour pressure
ptotal=pA∘xA+pB∘xB\displaystyle p_{\text{total}} = p_A^\circ x_A + p_B^\circ x_B

Colligative properties

Relative lowering of vapour pressure
p∘−pp∘=xsolute\displaystyle \frac{p^\circ - p}{p^\circ} = x_{\text{solute}}
Elevation of boiling point
ΔTb=iKbm\displaystyle \Delta T_b = iK_bm
Depression of freezing point
ΔTf=iKfm\displaystyle \Delta T_f = iK_fm
Osmotic pressure
π=iCRT\displaystyle \pi = iCRT
van't Hoff factor
i=observed colligative propertycalculated colligative property\displaystyle i = \frac{\text{observed colligative property}}{\text{calculated colligative property}}
Degree of dissociation
α=i−1n−1\displaystyle \alpha = \frac{i - 1}{n - 1}

n is the number of ions formed.

Where students slip up

  • Forgetting i for electrolytes. NaCl gives i ≈ 2, while glucose gives i = 1.
  • Using molarity in ΔT formulas, which need molality.
  • Using grams of solution where kilograms of solvent are needed.

Try it on your weakest chapter.

7 days free when you sign up. No card needed.