What is the molarity of a solution containing 2.8 moles of LiCl dissolved in 5.00 \times 10^2 mL of solution?

• A. 0.056 M
• B. 0.56 M
• C. 5.6 M
• D. 1.8 M

Answer: (B)

Verified step by step guidance

1. Identify the given information: moles of solute (LiCl) = 2.8 moles, volume of solution = 5.00 \times 10^2 mL.
2. Convert the volume from milliliters to liters because molarity is expressed in moles per liter. Use the conversion: 1 L = 1000 mL, so volume in liters = \frac{5.00 \times 10^2}{1000}.
3. Recall the formula for molarity (M): \(M = \frac{\text{moles of solute}}{\text{liters of solution}}\).
4. Substitute the values into the molarity formula: \(M = \frac{2.8}{\text{volume in liters}}\).
5. Calculate the molarity by performing the division to find the concentration in moles per liter.