A solution is prepared by dissolving 38.6 g sucrose (C₁₂H₂₂O₁₁) in 495 g of water. Determine the mole fraction of sucrose if the final volume of the solution is 508 mL.

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High School

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Answer :

dugarniharika9045 dugarniharika9045 · Answer 1 · 2024-11-12T05:29:37-05:00

To find the mole fraction of sucrose in the solution, divide the moles of sucrose by the sum of the moles of sucrose and water.

To determine the mole fraction of sucrose in the solution, we need to calculate the moles of sucrose and water in the solution.

First, calculate the moles of sucrose:

Moles of sucrose = mass of sucrose / molar mass of sucrose

Molar mass of sucrose = 12.01 g/mol (carbon) + 1.01 g/mol (hydrogen) + 16.00 g/mol (oxygen)

Next, calculate the moles of water:

Moles of water = mass of water / molar mass of water

Molar mass of water = 18.02 g/mol (2 hydrogens + 16 oxygens)

Finally, calculate the mole fraction of sucrose:

Mole fraction of sucrose = moles of sucrose / (moles of sucrose + moles of water)

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