Question

A chemist aims to create a 100 ml solution of 2.00M aqueous aluminum sulfate using a 2.03 mol/l aluminum sulfate stock solution and distilled water. How many milliliters of the aluminum sulfate stock solution should the chemist pour out to achieve this?

A) 98.5 ml
B) 97.1 ml
C) 99.0 ml
D) 96.5 ml

Answer 1

The chemist should use 98.5 ml of the aluminum sulfate stock solution to achieve a 100 ml solution of 2.00M aqueous aluminum sulfate.

Step-by-step explanation:

To determine how many milliliters of the aluminum sulfate stock solution the chemist should pour out to achieve a 100 ml solution of 2.00M aqueous aluminum sulfate, we will use the dilution formula: (stock concentration) × (stock volume) = (desired concentration) × (final volume) . Since we want a final concentration of 2.00M in 100 ml, we rearrange the formula to solve for the stock volume: (stock volume) = (2.00M × 100 ml) / (2.03 mol/L).

After performing the calculation:

• Stock volume = (2.00 × 100) / 2.03
• Stock volume = 200 / 2.03
• Stock volume = 98.52 ml (approximately)

Therefore, the closest answer choice is A) 98.5 ml, which is the volume of the aluminum sulfate stock solution the chemist should use.