What is the molarity of a saturated solution of potassium sulfate if the solubility is 13 g per 100 g H2O at 25°C? The density of the solution is 1.1 g/mL
To find the molarity of a saturated solution of potassium sulfate, we first need to calculate the number of moles of potassium sulfate in the given mass.
Step 1: Calculate the mass of potassium sulfate in the solution.
The solubility of potassium sulfate is given as 13 g per 100 g of water. Since the solubility is given in terms of water, we need to find the mass of water in the solution.
Given that the density of the solution is 1.1 g/mL, we can calculate the mass of water using the given volume of the solution.
Density = mass/volume
1.1 g/mL = mass_water / volume_solution
We don't know the volume of the solution, but we know the mass of water and its density. Rearranging the equation, we get:
mass_water = density * volume_solution
Step 2: Calculate the mass of potassium sulfate
The mass of potassium sulfate in the solution is given as 13 g per 100 g of water. Using this ratio, we can calculate the mass of potassium sulfate in the solution.
mass_potassium_sulfate = (mass_water / 100 g) * 13 g
Step 3: Calculate the number of moles of potassium sulfate
To find the number of moles, we need to know the molar mass of potassium sulfate. Potassium sulfate (K2SO4) has a molar mass of 174.26 g/mol.
moles_potassium_sulfate = mass_potassium_sulfate / molar_mass
Step 4: Calculate the molarity of the solution
Molarity is defined as moles of solute divided by liters of solution. Since the density of the solution is given, we can use it to find the volume of the solution.
volume_solution = mass_solution / density
Finally, we can calculate the molarity:
Molarity = moles_potassium_sulfate / volume_solution
By applying these calculations with the given values, you can find the molarity of a saturated solution of potassium sulfate at a given temperature.