Final answer:
To calculate the final concentration of sulfuric acid after dilution, apply the dilution formula M1V1 = M2V2 at each step and keep track of the concentration throughout each dilution stage.
Step-by-step explanation:
The problem involves calculating the final concentration of sulfuric acid in solution C after a series of dilutions. The initial solution of 1.50 mL of 0.177 M sulfuric acid (H2SO4) undergoes dilution with distilled water at different stages to finally reach a volume of 1.0000 L. To find the final concentration of sulfuric acid, one needs to use the dilution formula M1V1 = M2V2, where M1 and V1 are the molarity and volume of the initial solution, and M2 and V2 are the molarity and volume of the final solution, respectively.
By applying this formula at each dilution step, we can track the concentration throughout:
- First dilution to obtain solution A: MA = (0.177 M)(1.50 mL) / (10.0 mL)
- Second dilution for solution B: MB = MA × (10.0 mL / 50.0 mL)
- Third dilution for solution C: MC = MB × (10.0 mL / 900.0 mL)
- Adjustment to final volume of 1.0000 L: Mfinal = MC × (1.00 L / 1.0000 L)
Ultimately, the concentration of sulfuric acid would be calculated using the moles from the initial concentrated solution and the total final volume after the last dilution step.