To find the mass of the sample, we need to know the number of moles of CaSO4 in the sample. We can use Avogadro's number to convert the number of molecules to moles:
1 mole = 6.022 x 10^23 molecules
Number of moles = (5.2 x 10^25 molecules) / (6.022 x 10^23 molecules/mole)
Number of moles ≈ 86.38 moles
Next, we can use the molar mass of CaSO4 to convert moles to grams:
Molar mass of CaSO4 = (1 x 40.08 g/mol) + (1 x 32.06 g/mol) + (4 x 16.00 g/mol)
Molar mass of CaSO4 ≈ 136.14 g/mol
Mass of sample = (86.38 moles) x (136.14 g/mol)
Mass of sample ≈ 11,738.73 g or 11.74 kg (rounded to two decimal places)
Therefore, the mass of the sample is approximately 11.74 kg.