What is the molarity of a solution that results when 3.64 g KCl is dissolved in water and diluted to exactly 200.0 mL?

mols KCl = grams KCl/molar mass KCl = ?

Then M = mols/L solution.

.00024 mol

To find the molarity of a solution, you need to know the moles of solute and the volume of the solution in liters. Let's calculate step by step:

Step 1: Calculate the number of moles of KCl.
To do this, we need to convert the mass of KCl to moles using its molar mass. The molar mass of KCl is the sum of the atomic masses of potassium (K) and chlorine (Cl).

The atomic mass of K = 39.10 g/mol
The atomic mass of Cl = 35.45 g/mol

Molar mass of KCl = (39.10 g/mol) + (35.45 g/mol) = 74.55 g/mol

Now, we can calculate the number of moles of KCl by dividing the mass by the molar mass:

Number of moles of KCl = 3.64 g / 74.55 g/mol

Step 2: Convert the volume of the solution to liters.
The given volume of the solution is 200.0 mL, which needs to be converted to liters since molarity is expressed in moles per liter (M).

Volume of the solution = 200.0 mL = 200.0 mL x (1 L / 1000 mL)

Step 3: Calculate the molarity.
Now that we have the moles of KCl and the volume of the solution in liters, we can calculate the molarity of the solution using the formula:

Molarity (M) = Moles of solute / Volume of solution (in liters)

Molarity = Number of moles of KCl / Volume of the solution

Substituting the values:

Molarity = (Number of moles of KCl) / (Volume of the solution)

Molarity = (3.64 g / 74.55 g/mol) / (200.0 mL x (1 L / 1000 mL))

Now, we can simplify and calculate the molarity.

To determine the molarity of a solution, we need to know the amount of solute (in moles) and the volume of the solution (in liters). Here's how we can calculate the molarity for this specific scenario:

1. Convert the mass of KCl to moles:
The molar mass of KCl is the sum of the atomic masses of potassium (K) and chlorine (Cl). The atomic masses can be found on the periodic table.

Mass of KCl = 3.64 g
Molar mass of KCl = 39.10 g/mol (potassium) + 35.45 g/mol (chlorine) = 74.55 g/mol

To convert grams to moles, divide the mass by the molar mass:
moles of KCl = 3.64 g / 74.55 g/mol

2. Calculate the volume of the solution in liters:
The volume given is in milliliters, so we need to convert it to liters:
volume of solution = 200.0 mL = 200.0 mL / 1000 mL/L

3. Calculate the molarity:
Molarity (M) is defined as moles of solute divided by volume of solution in liters.

Molarity (M) = moles of solute / volume of solution in liters

Molarity (M) = (moles of KCl) / (volume of solution in liters)

Substituting the calculated values:
Molarity (M) = (3.64 g / 74.55 g/mol) / (200.0 mL / 1000 mL/L)

Simplifying,
Molarity (M) = (0.0489 mol) / (0.2 L)
Molarity (M) = 0.2445 M

Therefore, the molarity of the solution is 0.2445 M.