Calculate the volume in liters of a 0.0017 mmol/L calcium sulfate solution that contains 175g of calcium sulfate (CaSO4). Round your answer to 2 significant digits
To calculate the volume of the solution, we need to use the formula:
Volume (in liters) = Amount of substance / Concentration
First, let's convert the given amount of calcium sulfate (CaSO4) to moles.
Given:
Mass of CaSO4 = 175g
Molar mass of CaSO4 = 40.08g/mol Ca + 32.07g/mol S + (4 x 16.00g/mol O) = 136.16g/mol
Number of moles of CaSO4 = Mass / Molar mass
Number of moles of CaSO4 = 175g / 136.16g/mol = 1.285 mol
Now, let's convert the concentration from mmol/L to mol/L.
Given:
Concentration = 0.0017 mmol/L
1 mmol/L = 0.001 mol/L
0.0017 mmol/L = 0.0017 x 0.001 mol/L = 1.7 x 10^-6 mol/L
Finally, we can calculate the volume.
Volume (in liters) = Amount of substance / Concentration
Volume (in liters) = 1.285 mol / (1.7 x 10^-6 mol/L) = 7.56 x 10^5 L
Rounded to 2 significant digits: 7.6 x 10^5 L
Therefore, the volume of the calcium sulfate solution is approximately 7.6 x 10^5 liters.