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

Answer 1

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.