Questions: Preparing the Sodium Hydroxide Solution (Secondary Standard) Calculate the volume (mL) of 6 M NaOH required to prepare 600 mL of 0.1 M NaOH. Report your answer to three significant figures. Volume of 6 M NaOH required (mL)

Preparing the Sodium Hydroxide Solution (Secondary Standard)

Calculate the volume (mL) of 6 M NaOH required to prepare 600 mL of 0.1 M NaOH. Report your answer to three significant figures.

Volume of 6 M NaOH required (mL)
Transcript text: Preparing the Sodium Hydroxide Solution (Secondary Standard) Calculate the volume $(\mathrm{mL})$ of 6 M NaOH required to prepare $\mathbf{6 0 0 ~} \mathrm{mL}$ of 0.1 M NaOH . Report your answer to three significant figures. (2pts) Volume of 6 M NaOH required ( mL )
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Solution

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Solution Steps

Step 1: Understand the Problem

We need to calculate the volume of a 6 M NaOH solution required to prepare 600 mL of a 0.1 M NaOH solution. This is a dilution problem where we use the formula for dilution:

\[ C_1V_1 = C_2V_2 \]

where \(C_1\) and \(V_1\) are the concentration and volume of the concentrated solution, and \(C_2\) and \(V_2\) are the concentration and volume of the diluted solution.

Step 2: Identify Known Values
  • \(C_1 = 6 \, \text{M}\) (concentration of the concentrated solution)
  • \(C_2 = 0.1 \, \text{M}\) (concentration of the diluted solution)
  • \(V_2 = 600 \, \text{mL}\) (volume of the diluted solution)
Step 3: Solve for \(V_1\)

Using the dilution formula:

\[ 6 \, \text{M} \times V_1 = 0.1 \, \text{M} \times 600 \, \text{mL} \]

Solving for \(V_1\):

\[ V_1 = \frac{0.1 \, \text{M} \times 600 \, \text{mL}}{6 \, \text{M}} \]

\[ V_1 = \frac{60}{6} = 10 \, \text{mL} \]

Final Answer

The volume of 6 M NaOH required is \(\boxed{10 \, \text{mL}}\).

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