To find the volume of the solution in milliliters, we can use the relationship between molarity, moles of solute, and volume of solution. The formula is:

$Molarity (M) = \frac{moles \, of \, solute}{volume \, of \, solution \, (in \, liters)}$

We are given:

• Molarity $M = 0.300 \, M$
• Moles of solute = 0.500 moles

We need to find the volume of the solution. Rearranging the formula to solve for volume:

$volume \, (in \, liters) = \frac{moles \, of \, solute}{Molarity}$

Substitute the known values:

$volume \, (in \, liters) = \frac{0.500 \, moles}{0.300 \, M} = 1.667 \, liters$

Since 1 liter = 1000 milliliters, we convert the volume into milliliters:

$volume \, (in \, milliliters) = 1.667 \, liters \times 1000 = 1667 \, milliliters$

Therefore, the volume of the solution is 1667 milliliters.

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Would you like a detailed explanation of any step or have further questions?

Here are some related questions:

1. How would the volume change if the molarity were increased to 0.500 M?
2. How do you calculate the molarity of a solution if you know the volume and moles of solute?
3. What is the role of molarity in titrations?
4. How can you calculate the molarity of a solution using dilution?
5. How do you determine the amount of solute needed for a specific volume and molarity?

Tip: Remember that molarity is always moles of solute per liter of solution. Ensure that the volume is in liters before performing any calculations.