A student has 100. mL of 0.400 M CuSO4 (aq) and is asked to make 100. mL of 0.150 M CuSO4 (aq) for a spectrophotometry experiment. The following laboratory equipment is available for preparing the solution: centigram balance, weighing paper, funnel, 10 mL beaker, 150 mL beaker, 50 mL graduated cylinder, 100 mL volumetric flask, 50 mL buret, and distilled water.

Calculate the volume of 0.400 M CuSO4(aq) required for the preparation

Respuesta :

Answer:

We have to take 37.5 mL of a 0.400 M solution

Explanation:

Step 1: Data given

Stock volume = 100 mL  = 0.100L

Stock concentration 0.400 M

Volume of solution he wants to make = 100 mL = 0.100L

Concentration of solution he wants to make = 0.150 M

Step 2: Calculate the volume of 0.400 M CuSO4 needed

C1*V1 = C2*V2

⇒with C1 = the stock concentration = 0.400M

⇒with V1 = the volume of the stock = TO BE DETERMINED

⇒with C2 = the concentration of the solution he wants to make = 0.150 M

⇒with V2 = the volume of the solution made = 0.100 L

0.400 M * V1 = 0.150M * 0.100L

V1 = (0.150M*0.100L) / 0.400 M

V1 = 0.0375 L = 37.5 mL

We have to take 37.5 mL of a 0.400 M solution

The volume of 0.400 M CuSO(aq) required for the preparation of the solution is 37.5 mL

From the question given above, the following data were obtained:

Molarity of stock solution (M₁) = 0.4 M

Volume of diluted solution (V₂) = 100 mL

Molarity of diluted solution (M₂) = 0.15 M

Volume of stock solution needed (V₁) =?

M₁V₁ = M₂V₂

0.4 × V₁ = 0.15 × 100

0.4 × V₁ = 15

Divide both side by 0.4

V₁ = 15 / 0.4

V₁ = 37.5 mL

Therefore, the volume of 0.400 M CuSO₄(aq) needed to prepare the solution is 37.5 mL

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