Answer:
51.16% H₂O
Step-by-step explanation:
To find the percent water in the hydrate, you need to
(1) calculate the masses of 7H₂O and MgSO₄ · 7H₂O
(2) calculate the percent composition
(Step 1)
Atomic Mass (Mg): 24.305 g/mol
Atomic Mass (S): 32.065 g/mol
Atomic Mass (O): 15.999 g/mol
Atomic Mass (H): 1.008 g/mol
Mass (MgSO₄): 24.305 g + 32.065 g + 4(15.999 g/mol) = 120.366 g
Mass (7H₂O): 14(1.008 g/mol) + 7(15.999 g/mol) = 126.105 g
Mass (MgSO₄·7H₂O): 120.366 g + 126.105 g = 246.471 g
(Step 2)
Mass Water
Percent Composition = ---------------------------- x 100%
Total Mass
126.105 g H₂O
Percent Composition = -------------------------------------- x 100%
246.471 g MgSO₄·7H₂O
Percent Composition = 51.16% H₂O