If a solution contains 5 grams of solute in 250 mL of solvent, what is the molarity (M) if the molar mass of solute is 50 g/mol?

To determine the molarity of a solution, you need to use the formula for molarity, which is the number of moles of solute divided by the volume of solution in liters. First, it is necessary to calculate the number of moles of the solute present in the solution.

Given that the mass of the solute is 5 grams and the molar mass is 50 g/mol, the number of moles can be calculated as follows:

[

\text{Moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}} = \frac{5\text{ g}}{50\text{ g/mol}} = 0.1\text{ moles}

]

Next, convert the volume of the solvent from milliliters to liters. Since there are 1000 mL in 1 L, we have:

[

250\text{ mL} = 0.250\text{ L}

]

Now that we have both the number of moles and the volume in liters, we can calculate the molarity:

[

M = \frac{\text{moles of solute}}{\text{volume of solution in liters