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

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

Answer: (B)

Verified step by step guidance

1. Identify the formula for molarity, which is defined as the number of moles of solute divided by the volume of the solution in liters: \(M = \frac{\text{moles of solute}}{\text{volume of solution in liters}}\).
2. Convert the given volume from milliliters to liters because molarity requires volume in liters. Use the conversion factor \$1\,\text{L} = 1000\,\text{mL}\(: \)\text{volume in liters} = \frac{5.00 \times 10^{2} \text{ mL}}{1000}$.
3. Substitute the given values into the molarity formula: moles of LiCl = 2.8 mol, and volume in liters as calculated in the previous step.
4. Calculate the molarity by dividing the moles of LiCl by the volume in liters, keeping the units consistent to get molarity in mol/L.
5. Interpret the result to select the correct molarity value from the given options.