A solution of ethanol (C2H50H) in water is prepared by dissolving 76.9ml of ethanol (density0.79g/cm3) in enough water to make 0.25L of solution. What is the molarity of ethanol in this solution

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Use density ethanol to calculate grams.

Convert grams ethanol to mols. mols = grams/molar mass.
Then M = mols/L soln.

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To find the molarity of ethanol in the solution, you first need to calculate the number of moles of ethanol using the given information. The formula for molarity is moles of solute divided by the volume of the solution in liters.

Here are the step-by-step calculations to find the molarity of ethanol:

Step 1: Calculate the mass of ethanol using the density.

Given information:
- Ethanol density: 0.79 g/cm³
- Volume of ethanol: 76.9 mL

First, convert the volume of ethanol from milliliters (mL) to cubic centimeters (cm³).
1 mL = 1 cm³

Volume of ethanol = 76.9 mL = 76.9 cm³

Next, calculate the mass of ethanol.
Mass of ethanol = Density × Volume
Mass of ethanol = 0.79 g/cm³ × 76.9 cm³

Step 2: Convert the mass of ethanol to moles using the molar mass.

The molar mass of ethanol (C₂H₅OH) can be calculated by adding the atomic masses of its elements:
- Carbon (C) atomic mass: 12.01 g/mol
- Hydrogen (H) atomic mass: 1.01 g/mol
- Oxygen (O) atomic mass: 16.00 g/mol

Molar mass of ethanol = (2 × C) + (6 × H) + O
Molar mass of ethanol = (2 × 12.01 g/mol) + (6 × 1.01 g/mol) + 16.00 g/mol

Step 3: Calculate the moles of ethanol.

Divide the mass of ethanol by its molar mass to calculate the number of moles.
Moles of ethanol = Mass of ethanol / Molar mass of ethanol

Step 4: Find the molarity of ethanol.

Molarity is calculated by dividing the moles of solute by the volume of the solution in liters.
Molarity = Moles of solute / Volume of solution (in liters)
Given:
- Volume of solution: 0.25 L

Now you have all the necessary values to calculate the molarity of ethanol.

I hope this explanation helps you understand the process of finding the molarity of ethanol in a solution! If you have any further questions, feel free to ask!