1 liter of solution weighs 1100 g. 110 g of that liter (10%) is CdSO4, and that corresponds to 110/208.46 = 0.528 moles.
Molarity = 0.528 moles solute/1.0 liter of solution = 0.528
Molarity = 0.528 moles solute/1.0 liter of solution = 0.528
First, we need to calculate the number of moles of CdSO4. To do that, let's assume we have 100 g of the solution (just to make the calculations a bit easier). Since the solution is 10.0% CdSO4 by mass, we have 10 g of CdSO4.
Next, we need to find the number of moles of CdSO4. We'll divide the mass (in grams) by the molar mass (in grams/mole). So, 10 g divided by 208.46 g/mol equals approximately 0.048 moles.
Now, we have moles, but we need the volume in liters to calculate molarity. The density of the solution is given as 1.10 g/mL. Since there are 1000 mL in a liter, we can say the density is 1.10 g/mL * (1 L/1000 mL) = 0.00110 g/mL.
To find the volume of the solution, we divide the mass (in grams) by the density (in g/mL). So, 100 g divided by 1.10 g/mL equals approximately 90.91 mL or 0.09091 L (rounded to five decimal places).
Finally, to find the molarity, we divide moles by liters. So, 0.048 moles divided by 0.09091 L equals approximately 0.526 M (rounded to three decimal places).
So, the molarity of the solution is approximately 0.526 M. Now, doesn't that make you smile?
Step 1: Calculate the mass of the Cadmium sulfate (CdSO4) in the solution.
Given:
- Percentage by mass = 10%
- Density of the solution = 1.10 g/mL
Since 10.0% of the solution is composed of CdSO4, we can calculate the mass of CdSO4 as follows:
Mass of CdSO4 = Percentage by mass × Mass of the solution
Given the density of the solution, we can calculate the mass of the solution as follows:
Mass of the solution = Density of the solution × Volume of the solution
Since the density is given in grams per milliliter (g/mL), we need to convert the volume from milliliters to liters:
1 mL = 0.001 L
Step 2: Calculate the number of moles of CdSO4.
To convert the mass of CdSO4 into moles, we divide the mass by the molar mass of CdSO4.
Step 3: Calculate the molarity of the solution.
Molarity (M) is defined as the number of moles of solute per liter of solution.
Molarity (M) = Moles of solute / Volume of solution (in liters)
Let's plug in the given values and calculate the molarity step by step.
Using the given molar mass of CdSO4:
Molar mass of CdSO4 = 208.46 g/mol
Step 1: Calculate the mass of CdSO4:
Mass of CdSO4 = 10.0% × Mass of the solution
Step 2: Calculate the number of moles of CdSO4:
Moles of CdSO4 = Mass of CdSO4 / Molar mass of CdSO4
Step 3: Calculate the volume of the solution in liters:
Volume of the solution = Mass of the solution / Density of the solution
Step 4: Calculate the molarity:
Molarity (M) = Moles of CdSO4 / Volume of the solution (in liters)
Now let's perform the calculations:
Step 1: Calculate the mass of CdSO4:
Mass of CdSO4 = 10.0% × Mass of the solution
Mass of CdSO4 = 0.10 × Mass of the solution
Step 2: Calculate the number of moles of CdSO4:
Moles of CdSO4 = Mass of CdSO4 / Molar mass of CdSO4
Step 3: Calculate the volume of the solution in liters:
Volume of the solution = Mass of the solution / Density of the solution
Step 4: Calculate the molarity:
Molarity (M) = Moles of CdSO4 / Volume of the solution (in liters)
Please provide the mass of the solution to proceed with the calculations.
Step 1: Calculate the mass of the solute (CdSO4)
Given that the solution is 10.0% by mass CdSO4, we can calculate the mass of CdSO4 using the density of the solution.
Mass of solution = Volume of the solution × Density of the solution
Assuming we have 100g of the solution, we can calculate the volume of the solution:
Volume of the solution = Mass of solution / Density of the solution
In this case, the mass of the solution is 100g, and the density of the solution is 1.10 g/mL.
Volume of the solution = 100g / 1.10 g/mL
Step 2: Calculate the number of moles of CdSO4
To calculate the moles of CdSO4, we need to use the molar mass of CdSO4.
Moles of CdSO4 = Mass of CdSO4 / Molar mass of CdSO4
The molar mass of CdSO4 is given as 208.46 g/mol.
Step 3: Calculate the molarity
The molarity (M) is defined as moles of solute per liter of solution.
Molarity (M) = Moles of CdSO4 / Volume of the solution (in liters)
Now, we have all the necessary information to find the molarity of the solution.
I will calculate the molarity for you: