How many moles of solute are present in 500 mL of a 1 M solution?

• A. 2 mol
• B. 0.05 mol
• C. 0.5 mol
• D. 1 mol

Answer: (C)

Verified step by step guidance

1. Recall the definition of molarity (M), which is the number of moles of solute per liter of solution. It is given by the formula: \(M = \frac{\text{moles of solute}}{\text{liters of solution}}\).
2. Identify the given values: the molarity \(M\) is 1 M, and the volume of the solution is 500 mL. Convert the volume from milliliters to liters because molarity uses liters: \$500\ \text{mL} = 0.500\ \text{L}$.
3. Rearrange the molarity formula to solve for moles of solute: \(\text{moles of solute} = M \times \text{liters of solution}\).
4. Substitute the known values into the equation: \(\text{moles of solute} = 1\ \text{mol/L} \times 0.500\ \text{L}\).
5. Calculate the product to find the number of moles of solute present in 500 mL of the 1 M solution.