
Lynne C. answered 05/14/22
MAT in Chemistry, Fluent in Algebra
The normality of a solution refers to the concentration of the acid or base component of a solution. In this case, the concentration of the H+ ion after dissolution, which is why the normality here would be double the molarity (H2SO4 --> 2H+ + SO42- ; notice the 2 H+s dissociated for every 1 mole of H2SO4).
If the purity of the original H2SO4 is 98%, we can use unit analysis to find our answer. Since 100mL = 0.1L:
Stepwise solution:
- Since our target volume is 100mL (0.1L) and our target normality is 0.1 N (0.1 mol H+ / Liters solution):
- 0.1 L x (0.1 mol H+ / Liter solution) = 0.01 moles of H+ are needed from stock solution
- Since equiv. weight says each each 49 grams of H2SO4 imparts 1 mol of ions:
- 0.01 mol H+ x (49 g H2SO4 eq. / 1 mol H+) = 0.49 grams of H2SO4 are needed
- Since the purity (assumed by mass) of the stock H2SO4 solution is 98%:
- 0.49 g H2SO4 x (100 g stock / 98 g H2SO4) = 0.5 g stock
- Since the density of H2SO4 is 1.08 g/mL (and the stock is mostly H2SO4 so its density is approx. the same):
- 0.5 g stock x (1 mL / 1.08g) ≈ 0.46 mL stock solution needed
Unit analysis continuous solution:
0.1 L x (0.1 mol H+ / Liter solution) x (49 g H2SO4 eq. / mol H+) x (100g stock / 98 g H2SO4) x (1 mL / 1.08 g) ≈ 0.46 mL stock H2SO4 solution
Creating the solution:
- Obtain a clean, dry 100 mL volumetric flask.
- Fill approx. 3/4 with deionized water. **This step is a safety measure. Always add acid to water to dilute it immediately, never water to concentrated acid.
- With gloved hands, prepare a small graduated pipette (markings at least to 0.1 mL, 0.01 preferred) by rinsing the inner walls with stock H2SO4 solution (draw up into the pipette using a pipette bulb and release into a waste beaker).
- Draw up 0.46 mL of the stock solution into the pipette and release it into the volumetric flask, ensuring all acid is dropped into the water. Swirl gently.
- With a wash bottle, fill the volumetric flask the rest of the way to the 100mL mark.
- With a gloved hand, cover the opening of the volumetric flask. Swirl gently and invert to mix.
- Your 0.1N solution is prepared!