Calculating Stock Solution Volume for NaHCO3 5g/L: M1V1=M2V2

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In summary, to prepare a 100ml solution of NaHCO3 with a concentration of 5g/L using a stock solution of NaHCO3 with a concentration of 30g/L, you would need to use 3.33 mL of the stock solution and dilute it to 100 mL. This is found using the equation M1*V1 = M2*V2, where M1 is the initial molarity, V1 is the initial volume, M2 is the final molarity, and V2 is the final volume. This calculation does not require converting to moles or molar concentrations, as the answer depends only on the desired final concentration and volume.
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frank1
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Homework Statement


Whats the stock solution volume required to prepare 100ml of a NaHCO3 solution 5g/L using a stock solution of NaHCO3 30g/L.

Homework Equations



M1*V1 = M2*V2

M = Molarity = mols/L

The Attempt at a Solution



NaHCO3 = 84g/mol
5g NaHCO3 = 0.0595238095238095mol
30g NaHCO3 = 0.3571428571428571mol

M1*V1 = M2*V2 => 0.0595238095238095*0.1 = 0.3571428571428571*V2
V2 = 0.01666L = 16,7mL

But the answer is 3,33 mL
 
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  • #2
16.7 mL is the right answer.

Note: there is no need to convert everything to moles and molar concentrations. Answer doesn't depend on the identity of the substance. Final solution must contain 0.5 g (0.1L*5g/L), so you need to start with 0.5g/30g liters of the stock solution and dilute it to 100 mL.
 

1. What is the definition of volume of stock solution?

The volume of stock solution refers to the amount of concentrated solution that is used to prepare a diluted solution. It is typically measured in units of milliliters (mL) or liters (L).

2. How is the volume of stock solution calculated?

The volume of stock solution can be calculated using the dilution equation: M1V1 = M2V2, where M1 is the initial concentration of the stock solution, V1 is the initial volume of the stock solution, M2 is the final desired concentration, and V2 is the final desired volume. Rearranging the equation, V1 = (M2V2)/M1.

3. What is the purpose of using a stock solution?

A stock solution is used to prepare solutions of specific concentrations for experiments. It allows for precise and accurate measurements of the desired concentration, as well as reducing the amount of time and effort needed to prepare multiple solutions.

4. How do I prepare a stock solution?

To prepare a stock solution, you will need to measure out the desired amount of solute (usually in grams or moles) and add it to a volumetric flask. Then, add enough solvent (usually water) to reach the desired final volume. The solution should be thoroughly mixed to ensure homogeneity.

5. Can the volume of stock solution be adjusted after it has been prepared?

Yes, the volume of stock solution can be adjusted by adding more solvent to increase the volume or by evaporating some of the solvent to decrease the volume. However, this will also affect the concentration of the stock solution, so it is important to recalculate the new concentration using the dilution equation.

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