What is the molarity of a solution of 10.0% by mass cadmium sulfate, CdSO4 (molar mass = 208.46 g/mol) by mass? The density of the solution is 1.10 g/mL.

Well, if you're asking about molarity, prepare to dive into some chemistry fun!

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?

To determine the molarity of the solution, we first need to calculate the number of moles of CdSO4 present in the solution.

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.

To find the molarity of a solution, we first need to determine the number of moles of the solute (in this case, CdSO4) present in the solution.

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:

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