What is the molarity of a solution containing 8 grams of solute in 500 mL of solution? Round to the nearest hundredth. Don't forget the unit! (gram formula mass of solute = 24 g)
To find the molarity of a solution, we need to calculate the number of moles of solute and then divide it by the volume of the solution in liters. Here's how you can do it step by step:
Step 1: Convert the mass of the solute from grams to moles.
The formula mass of the solute is given as 24 g.
Number of moles = mass of solute / formula mass
Number of moles = 8 g / 24 g/mol
Number of moles ≈ 0.33 mol (rounded to the nearest hundredth)
Step 2: Convert the volume of the solution from milliliters to liters.
The volume of the solution is given as 500 mL.
Volume in liters = volume in milliliters / 1000
Volume in liters = 500 mL / 1000
Volume in liters = 0.5 L
Step 3: Calculate the molarity.
Molarity = number of moles / volume in liters
Molarity = 0.33 mol / 0.5 L
Molarity ≈ 0.66 mol/L (rounded to the nearest hundredth)
So, the molarity of the solution is approximately 0.66 mol/L.
To find the molarity of a solution, you need to know the number of moles of solute and the volume of the solution. In this case, we're given the mass of the solute (8 grams) and the volume of the solution (500 mL).
To find the number of moles of solute, we need to divide the mass of the solute by the gram formula mass of the solute. In this case, the gram formula mass of the solute is 24 g.
Number of moles of solute = Mass of solute / Gram formula mass of solute
= 8 g / 24 g
= 0.3333 moles (rounded to the nearest thousandth)
Now, to find the molarity, we need to divide the number of moles of solute by the volume of the solution in liters. Since the volume of the solution is given in milliliters, we need to convert it to liters by dividing by 1000.
Molarity = Number of moles of solute / Volume of solution (in liters)
= 0.3333 moles / 0.5 liters
= 0.6666 M (rounded to the nearest hundredth)
Therefore, the molarity of the solution is 0.67 M (rounded to the nearest hundredth, with the appropriate unit, M for molarity).