Answer:
Option B is correct : 51%
Step-by-step explanation:
Data Given:
Hydrates used in lab = MgSO₄ .7H₂O
% water in hydrate = ?
Solution:
As we look for the the theoretical % water in hydrates
So
- First of all find the atomic masses of each component in a molecule
For H₂O atomic masses are given below
H = 1 g/mol
O = 16 g/mol
Then find the total mass of H₂O in hydrated salt
7H₂O = 7 (2x1 +1x16) g/mol
7H₂O = 7 (2+16) g/mol
7H₂O = 7 (18) g/mol
Now,
> find total Molar Mass of Molecule:
Molar Mass of MgSO₄ • 7H₂O = [24 + 32 + 16x4] + 7(2+16)
Molar Mass of MgSO₄ • 7H₂O = [24+ 32 + 64] + 126
Molar Mass of MgSO₄ • 7H₂O = [120] + 126
- Molar Mass of MgSO₄ • 7H₂O = 246 g/mol
Now to find the mass by percent of (water) H₂O
Formula used to find the mass by percent of a component
Percent composition of H₂O = mass of H₂O in Molecule / molar mass of MgSO₄•7H₂O x 100%
Put the values in above formula
Percent by mass of H₂O = 126 (g/mol) / 246 (g/mol) x 100%
Percent by mass of H₂O = 0.51 x 100%
Percent by mass of H₂O = 51%
So,
Option B is correct : 51%