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Multiple Choice
What is the molarity of a solution prepared by dissolving 10.0 g of acetone, C₃H₆O, in enough water to make 125 mL of solution?
A
2.56 M
B
0.64 M
C
1.38 M
D
0.80 M
Verified step by step guidance
1
First, calculate the molar mass of acetone (C₃H₆O). The molar mass is the sum of the atomic masses of all atoms in the molecule. Use the periodic table to find the atomic masses: Carbon (C) is approximately 12.01 g/mol, Hydrogen (H) is approximately 1.01 g/mol, and Oxygen (O) is approximately 16.00 g/mol. Therefore, the molar mass of acetone is calculated as: g/mol.
Next, convert the mass of acetone to moles using its molar mass. The formula to convert grams to moles is: . Substitute the given mass of acetone (10.0 g) and the calculated molar mass from step 1 into this formula.
Now, convert the volume of the solution from milliliters to liters, as molarity is expressed in moles per liter. Use the conversion factor: . Therefore, convert 125 mL to liters.
Calculate the molarity of the solution using the formula for molarity: . Use the moles of acetone calculated in step 2 and the volume in liters from step 3.
Finally, interpret the calculated molarity value and compare it with the given options to identify the correct answer. The molarity should match one of the provided choices.