The molar solubility of calcium sulphate CaSo4 is 8.43 x 10-3(10 to the power of negative 3) M. Calculate the mass of solid CaSo4 which can be evaporated from 250.0 mL of a saturated solution of CaSO4.
To calculate the mass of solid CaSO4 that can be evaporated from a saturated solution, we need to first calculate the number of moles of CaSO4 present in the solution, and then convert it to mass using the molar mass of CaSO4.
Step 1: Calculate the moles of CaSO4
Molar solubility is given as 8.43 x 10^-3 M. This means that for every 1 liter of solution, 8.43 x 10^-3 moles of CaSO4 are dissolved.
We have a volume of 250.0 mL, which is equivalent to 0.250 liters.
Therefore, the moles of CaSO4 in the solution can be calculated as:
moles = molar solubility x volume
moles = 8.43 x 10^-3 M x 0.250 L
moles = 2.11 x 10^-3 moles
Step 2: Convert moles to mass
The molar mass of CaSO4 can be calculated by adding the atomic masses of calcium (Ca), sulfur (S), and four oxygen (O) atoms.
Molar mass of CaSO4 = (1 x atomic mass of Ca) + (1 x atomic mass of S) + (4 x atomic mass of O)
Molar mass of CaSO4 = (1 x 40.08 g/mol) + (1 x 32.07 g/mol) + (4 x 16.00 g/mol)
Molar mass of CaSO4 = 136.14 g/mol
Now, we can calculate the mass of solid CaSO4:
mass = moles x molar mass
mass = 2.11 x 10^-3 moles x 136.14 g/mol
mass ≈ 0.287 g
Therefore, the mass of solid CaSO4 that can be evaporated from 250.0 mL of the saturated solution is approximately 0.287 grams.
To calculate the mass of solid CaSO4 that can be evaporated from a saturated solution, we need to use the molar solubility and the volume of the solution.
Step 1: Convert the volume to liters.
Given: Volume of solution = 250.0 mL
1 L = 1000 mL
So, the volume of solution in liters = 250.0 mL ÷ 1000 mL/L = 0.25 L
Step 2: Calculate the number of moles of CaSO4 dissolved in the solution.
Given: Molar solubility of CaSO4 = 8.43 x 10^(-3) M
Molar solubility refers to the number of moles of solute (in this case, CaSO4) that can be dissolved in one liter of solvent (in this case, water). Therefore, we can calculate the number of moles dissolved in the given volume of solution using the molar solubility.
Number of moles of CaSO4 = Molar solubility × Volume of solution
= 8.43 x 10^(-3) mol/L × 0.25 L
Step 3: Calculate the mass of CaSO4 using its molar mass.
The molar mass of CaSO4 can be calculated by adding the atomic masses of calcium (Ca), sulfur (S), and four oxygen (O) atoms.
Molar mass of CaSO4 = 40.08 g/mol (for calcium) + 32.07 g/mol (for sulfur) + 4 × 16.00 g/mol (for oxygen)
Now we can calculate the mass of CaSO4:
Mass of solid CaSO4 = Number of moles of CaSO4 × Molar mass of CaSO4
Please note that I haven't provided the exact value for the molar mass of CaSO4. You can calculate it using the atomic masses given above.
You can substitute the values into the equation to get the final answer.