The density of a 60% (m/m) ethanol solution 0.8937g/ml , calculate the molarity of the solution , step by step .

Molar mass of ethanol = 46.07

60% (m/m)=60g of ethanol out of 100g in solution.

60g of ethanol*(1 mole/46.07g)= moles of ethanol

Density=mass/volume

Solving for volume,

Volume=mass/density

Total volume=100g total solution/0.8937g/ml

Molarity=moles/volume in L

Molarity of ethanol solution=moles of ethanol/Total volume*(10^-3)

It could be an easier way to do this, I just cant think of it at the moment.

One other thing, your answer should only have 2 significant figures.

11.66 m

11.7

To calculate the molarity of the solution, we need to first determine the number of moles of ethanol present in the 60% (m/m) ethanol solution.

Step 1: Determine the mass of ethanol in the solution.
Since the solution is 60% (m/m) ethanol, it means that for every 100 grams of solution, there are 60 grams of ethanol.

Let's assume we have 100 grams of the solution.
So, the mass of ethanol in the solution would be 60 grams.

Step 2: Calculate the number of moles of ethanol.
To calculate the number of moles, we need to use the molar mass of ethanol, which is 46.07 g/mol.

Number of moles = Mass of ethanol / Molar mass of ethanol
Number of moles = 60 g / 46.07 g/mol

Step 3: Calculate the volume of the solution.
To calculate the volume of the solution, we can use the density of the solution, which is given as 0.8937 g/mL.

Density = Mass / Volume
Volume = Mass / Density
Volume = 100 g (Assuming we have 100 g of the solution) / 0.8937 g/mL

Step 4: Convert the volume from mL to L.
Since the molarity is defined as the number of moles per liter of solution, we need to convert the volume from mL to L.

Volume = 100 g / 0.8937 g/mL = 111.89 mL
Volume in L = 111.89 mL / 1000 mL/L = 0.11189 L

Step 5: Calculate the molarity.
Molarity (M) = Number of moles / Volume in L
Molarity (M) = (60 g / 46.07 g/mol) / 0.11189 L

Now you can perform the calculation to find the molarity of the 60% (m/m) ethanol solution.