A sodium chloride solution has a density of 1.22 g/mL. How many moles of NaCl are dissolved in 10.0 mL of the solution? The density of water is 1.00 g/mL.

My solution:
? mol NaCl = 10 mL*1.22 g/1mL*1mL/58.5g

The correct answer is 3.76E-2 mol.
Please help!

I have deleted my answer to your earlier post.That answer I gave was partially right but not 100% right. Here is how the answer comes up to be 0.0376 BUT I'm not ready to buy into the solution. This is just to show you how the author came up with that answer.

1.22 g/mL x 10.0 mL = 12.2 grams is the mass of the solution. Then assume that volume of 10.0 mL is all water then with density of 1.0 g/mL for H2O that makes the water part have a mass of 10.0 grams.(Said another way 10 g H2O + 2.2 g NaCl = 12.2 g solution.) The total is 12.2 so the mass NaCl is 2.2g.
Then mols is 2.2/58.5 = 0.0376.
But I don't think that manipulation is legal. It is true that if you take 2.2 g NaCl and add it to 10.0 mL H2O that the mass of the solution will be 12.2 grams; HOWEVER, the volume of the solution will NOT be 10.0 mL but more like 11 or so and that density is not 1.22. I don't think you can work this problem without knowing the percent NaCl because while the solution has a mass of 12.2g you don't know how much is NaCl and how much is H2O with a percent. I don't think I've missed anything here but if I have I hope someone will let me know.

To find the number of moles of NaCl dissolved in the sodium chloride solution, you can use the formula:

moles of substance = mass of substance / molar mass of substance

In this case, the mass of NaCl can be calculated using the density of the solution, which is given as 1.22 g/mL. The density can be interpreted as 1.22 grams of solution is present in 1 mL.

To find the mass of the solution, you can use the formula:

mass = density * volume

So, the mass of 10 mL of the solution can be calculated as:

mass of solution = density of solution * volume of solution
mass of solution = 1.22 g/mL * 10 mL
mass of solution = 12.2 g

Now that you have the mass of the solution, you can calculate the mass of NaCl that is dissolved in it. This calculation assumes that the density of the solution is solely due to the NaCl dissolved in it. If there are other solutes in the solution contributing to the density, this calculation will be an approximation.

Now, the formula for moles can be applied:

moles of NaCl = mass of NaCl / molar mass of NaCl

The molar mass of NaCl is 58.5 g/mol, so

moles of NaCl = 12.2 g / 58.5 g/mol
moles of NaCl = 0.2087 mol

Therefore, the correct answer is moles of NaCl = 0.2087 mol.

The answer you provided, 3.76E-2 mol, seems incorrect. Please double-check your calculations and make sure you are using the correct molar mass for NaCl (58.5 g/mol) and that you have correctly converted the units (e.g., mL to g).