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Multiple Choice
How many grams of CH₃OH must be added to water to prepare 150 mL of a solution that is 2.00 M CH₃OH?
A
9.60 grams
B
3.00 grams
C
12.00 grams
D
6.00 grams
Verified step by step guidance
1
Start by understanding the concept of molarity (M), which is defined as the number of moles of solute per liter of solution. In this problem, the molarity of CH₃OH is given as 2.00 M.
Calculate the number of moles of CH₃OH required for the solution. Use the formula: \( \text{Moles of CH}_3\text{OH} = \text{Molarity} \times \text{Volume of solution in liters} \). Convert the volume from milliliters to liters by dividing by 1000.
Determine the molar mass of CH₃OH. The molecular formula CH₃OH consists of carbon (C), hydrogen (H), and oxygen (O). Calculate the molar mass by adding the atomic masses: \( \text{Molar mass of CH}_3\text{OH} = 12.01 \text{ g/mol (C)} + 3 \times 1.01 \text{ g/mol (H)} + 16.00 \text{ g/mol (O)} \).
Use the number of moles calculated in step 2 and the molar mass from step 3 to find the mass of CH₃OH needed. Apply the formula: \( \text{Mass of CH}_3\text{OH} = \text{Moles of CH}_3\text{OH} \times \text{Molar mass of CH}_3\text{OH} \).
Verify your calculations to ensure accuracy. Check each step for correct unit conversions and arithmetic operations to confirm the mass of CH₃OH required for the solution.