What volume of 1.5M NaOH is needed to provide 0.75 mol of NaOH?Question 9Answera.500 mLb.5.0 Lc.0.5 mLd.500 L

1. Break Down the Problem

To find the volume of 1.5 M NaOH required to provide 0.75 mol of NaOH, we need to use the molarity formula which relates moles, volume, and molarity.

2. Relevant Concepts

The formula for molarity (M) is given by:

$M = \frac{\text{moles of solute}}{\text{liters of solution}}$

From this, we can rearrange the formula to find the volume:

$\text{liters of solution} = \frac{\text{moles of solute}}{M}$

3. Analysis and Detail

Given:

• Moles of NaOH required = 0.75 mol
• Molarity of NaOH solution = 1.5 M

Using the rearranged formula:

$\text{liters of solution} = \frac{0.75 \, \text{mol}}{1.5 \, \text{M}} = 0.5 \, \text{L}$

To convert liters to milliliters (since the answer options include mL):

$0.5 \, \text{L} = 0.5 \times 1000 \, \text{mL} = 500 \, \text{mL}$

4. Verify and Summarize

Thus, checking the calculations shows that 0.5 L corresponds to 500 mL. Therefore, the volume of 1.5 M NaOH needed to provide 0.75 mol of NaOH is indeed 500 mL.

Final Answer

a. 500 mL