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Multiple Choice
The molarity (M) of an aqueous solution containing 22.5 g of sucrose (C₁₂H₂₂O₁₁) in 35.5 mL of solution is:
A
1.85 x 10⁻² M
B
1.85 M
C
1.85 x 10⁻¹ M
D
1.85 x 10⁻³ M
Verified step by step guidance
1
First, calculate the molar mass of sucrose (C₁₂H₂₂O₁₁). 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. Calculate the molar mass using the formula: .
Convert the mass of sucrose from grams to moles using the molar mass calculated in the previous step. Use the formula: .
Convert the volume of the solution from milliliters to liters, as molarity is expressed in moles per liter. Use the conversion factor: to convert 35.5 mL to liters.
Calculate the molarity of the solution using the formula for molarity: . Substitute the values obtained from the previous steps into this formula.
Compare the calculated molarity with the given options to determine the correct answer. Ensure that the calculated molarity matches one of the provided choices.