Question

If a chemist wishes to dilute a 1.000 × 103 mg/l stock solution to prepare 5.000 × 102 ml of a working standard that has a concentration of 5.250 mg/l, what volume of the 1.000 × 103 mg/l standard solution is needed?

Answer 1

To determine the volume of the 1.000 × 103 mg/l stock solution needed, we can use the formula for dilution. The formula is (stock concentration) x (stock volume) = (dilute concentration) x (dilute volume). We are given the dilute concentration (5.250 mg/l) and the dilute volume (5.000 × 102 ml). Plugging in the given values, we get Stock volume = (5.250 mg/l x 5.000 × 102 ml) / 1.000 × 103 mg/l = 2.625 ml.

Step-by-step explanation:

To determine the volume of the 1.000 × 103 mg/l stock solution needed, we can use the formula for dilution. The formula is (stock concentration) x (stock volume) = (dilute concentration) x (dilute volume). We are given the dilute concentration (5.250 mg/l) and the dilute volume (5.000 × 102 ml). We can rearrange the formula to find the stock volume as follows:

Stock volume = (dilute concentration x dilute volume) / stock concentration

Plugging in the given values, we get Stock volume = (5.250 mg/l x 5.000 × 102 ml) / 1.000 × 103 mg/l = 2.625 ml. Therefore, 2.625 ml of the 1.000 × 103 mg/l standard solution is needed.