Final answer:
To calculate the molarity of the methanol solution, find the moles of methanol using its mass and molar mass, then determine the solution's volume using the given density, and finally divide the moles of methanol by the solution's volume in liters.
Step-by-step explanation:
Calculation of Molarity
To calculate the molarity of a methanol solution, we first need to understand what molarity means. Molarity is defined as the number of moles of solute per liter of solution. As per the student's question, a methanol solution has been prepared by dissolving 0.5g of methanol (CH₃OH) into 10g of water. With the given density of methanol as 1.10 g/mL, this information can be used to calculate the solution's molarity.
Here is a step-by-step explanation:
- First, we calculate the moles of methanol using its molar mass (32.04 g/mol). Moles = mass (g) / molar mass (g/mol).
- Next, we calculate the volume of the solution by adding the volume of methanol to the volume of water. The total mass of the solution / density of methanol = volume of methanol + volume of water.
- Finally, we determine the molarity by dividing the moles of methanol by the total volume of the solution in liters.
Note: We assume that the volume addition is linear and that the density of water is 1.00 g/mL.