calculate the molarity of a solution when 5g of urea is dissolved in 600ml of water

To calculate the molarity of a solution, we need to know the number of moles of solute (in this case, urea) and the volume of the solution. Here's how you can calculate it step by step:

Step 1: Convert the mass of urea to moles.
Urea's molar mass (also known as molecular weight) is 60.06 g/mol. To convert grams to moles, use the formula:
moles = mass (g) / molar mass (g/mol)

moles of urea = 5 g / 60.06 g/mol

Step 2: Convert the volume of water to liters.
We need the volume of the solution in liters to calculate the molarity. There are 1000 mL in a liter, so:
volume (L) = 600 mL / 1000 mL/L

volume of water = 0.600 L

Step 3: Calculate the molarity using the formula:
Molarity (M) = moles of solute / volume of solution (L)

Molarity of the solution = moles of urea / volume of water

Now, let's put the values into the formula:

Molarity of the solution = (5 g / 60.06 g/mol) / 0.600 L

Molarity of the solution ≈ 0.166 M (rounded to three decimal places)

Therefore, the molarity of the solution is approximately 0.166 M.