How to Calculate the Molar Concentration of a Solution?

How do you calculate the molar concentration of a solution that contains 45.0 g of NaCl dissolved in 350.0 ml of water?

Options:

1. 0.00220 M

2. 2.20 M

3. 12.9 M

4. 129 M

Answer:

The molar concentration of the solution is 2.202 M.

To calculate the molar concentration of a solution, we need to first determine the number of moles of the solute present in the solution, and then divide that by the volume of the solution in liters.

The molar mass of NaCl is 58.44 g/mol. Therefore, the number of moles of NaCl in 45.0 g can be calculated as:

mole = mass / molar mass = 45.0 g / 58.44 g/mol = 0.7709 mol

Next, we need to convert the volume of the solution from milliliters to liters:

volume = 350.0 ml = 0.3500 L

Finally, we can calculate the molar concentration (M) of the solution as:

M = moles / volume = 0.7709 mol / 0.3500 L = 2.202 M

By following these steps, you can easily calculate the molar concentration of a solution. Understanding this concept is essential for various fields like chemistry and biology.