How many moles of glucose should be dissolved into a solution with a total volume of 0.500 L to produce a 1 M glucose solution?

Explanation

To determine how many moles of glucose should be dissolved to create a 1 M glucose solution in a total volume of 0.500 L, we can use the formula for molarity:

**Step 1: Understand the formula for molarity.**
Molarity (M) is defined as the number of moles of solute (n) divided by the volume of the solution in liters (V). The formula is:
\[ M = \frac{n}{V} \]

**Step 2: Rearrange the formula to solve for the number of moles (n).**
To find the number of moles, we can rearrange the formula:
\[ n = M \times V \]

**Step 3: Substitute the given values into the equation.**
We know that the molarity (M) is 1 M and the volume (V) is 0.500 L. Now we can substitute these values into the rearranged formula:
\[ n = 1 \, \text{M} \times 0.500 \, \text{L} \]

**Step 4: Calculate the number of moles.**
Now, perform the multiplication:
\[ n = 1 \times 0.500 = 0.500 \, \text{moles} \]

**Conclusion:**
Therefore, to produce a 1 M glucose solution in a total volume of 0.500 L, you need to dissolve **0.500 moles of glucose**.

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